This is a quick slide show I put together for a friend. I'll have more to come. I taught elementary and engineering physics (algebra based) at Texas State University in San Marcos. Most of the slide shows I plan to do will be physics related
Drawing Free Body Diagrams for Engineering Staticsanita74117
I taught physics at Texas State University (elementary and algebra-based). This is a slide show I put together quickly for a friend. I'll be ading more, mostly on classical physics.
Drawing Free Body Diagrams for Engineering Staticsanita74117
I taught elementary and engineering physics (algebra based) at Texas State University in San Marcos, Texas. I made this slide show really quick for a friend. I'll be adding more classical mechanics slideshows in the future.
Drawing Free Body Diagrams for Engineering Staticsanita74117
This slide show is a work in progress. I am putting together a short introduction to drawing free body diagrams for physics and engineering problems. Hint - learn Newton's 3rd law first. It makes learning the other two a breeze. I'll be updating and adding slide shows soon.
Newton's three laws of motion are summarized as follows:
1. An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
2. The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
3. For every action, there is an equal and opposite reaction.
Newton's three laws of motion are summarized as follows:
1) An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force.
2) The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
3) For every action, there is an equal and opposite reaction.
Newton's three laws of motion are summarized as follows:
1) Newton's First Law states that objects at rest will stay at rest and objects in motion will stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
2) Newton's Second Law establishes the relationship between an object's mass, its acceleration, and the applied force as F=ma.
3) Newton's Third Law describes that for every action force there is an equal and opposite reaction force.
Newton's three laws of motion are summarized as follows:
1) Newton's First Law states that objects at rest will stay at rest and objects in motion will stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
2) Newton's Second Law establishes the relationship between an object's mass, its acceleration, and the applied force as F=ma.
3) Newton's Third Law describes that for every action force there is an equal and opposite reaction force.
Drawing Free Body Diagrams for Engineering Staticsanita74117
I taught physics at Texas State University (elementary and algebra-based). This is a slide show I put together quickly for a friend. I'll be ading more, mostly on classical physics.
Drawing Free Body Diagrams for Engineering Staticsanita74117
I taught elementary and engineering physics (algebra based) at Texas State University in San Marcos, Texas. I made this slide show really quick for a friend. I'll be adding more classical mechanics slideshows in the future.
Drawing Free Body Diagrams for Engineering Staticsanita74117
This slide show is a work in progress. I am putting together a short introduction to drawing free body diagrams for physics and engineering problems. Hint - learn Newton's 3rd law first. It makes learning the other two a breeze. I'll be updating and adding slide shows soon.
Newton's three laws of motion are summarized as follows:
1. An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
2. The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
3. For every action, there is an equal and opposite reaction.
Newton's three laws of motion are summarized as follows:
1) An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force.
2) The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
3) For every action, there is an equal and opposite reaction.
Newton's three laws of motion are summarized as follows:
1) Newton's First Law states that objects at rest will stay at rest and objects in motion will stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
2) Newton's Second Law establishes the relationship between an object's mass, its acceleration, and the applied force as F=ma.
3) Newton's Third Law describes that for every action force there is an equal and opposite reaction force.
Newton's three laws of motion are summarized as follows:
1) Newton's First Law states that objects at rest will stay at rest and objects in motion will stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
2) Newton's Second Law establishes the relationship between an object's mass, its acceleration, and the applied force as F=ma.
3) Newton's Third Law describes that for every action force there is an equal and opposite reaction force.
Newton's three laws of motion are summarized as follows:
1) An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force.
2) The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
3) For every action, there is an equal and opposite reaction.
This document discusses Newton's laws of motion and provides examples of forces. It introduces Newton's three laws, including inertia, Fnet=ma, and action-reaction. Examples are given for each law such as an astronaut drifting in space (1st law), graphs of force vs. acceleration (2nd law), and collisions between objects of different masses (3rd law). Common forces like gravity, tension, and normal forces are also explained.
Force and Mass;
Types of Forces;
Contact forces;
Field forces;
Newtons laws of motion;
Explanation;
It’s not Newton’s Laws;
Its Rishi Kanad laws;
Proof of stolen three laws of motion; how newton theft the laws ?
newton a modern thief?
laws of motion by Rishi Kanad
Vaisheshika - laws of motion
Comparision - Kanad rishi vs Newton
References for theft
The document discusses Newton's three laws of motion:
1) An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force.
2) The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force.
3) For every action, there is an equal and opposite reaction.
A force is any push or pull that can cause an object to change its motion. The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass, as described by Newton's Second Law. Newton's Third Law states that for every action force there is an equal and opposite reaction force.
The document discusses key concepts in mechanics including:
1. Free body diagrams show only the external forces acting on an object and are useful for solving dynamics problems.
2. Newton's Second Law states that acceleration is proportional to net force and inversely proportional to mass.
3. Impulse is the product of force and time and equals change in momentum, affecting how objects move after collisions or other impacts.
Newton's laws of motion describe the relationship between an object and the forces acting upon it, and its response to those forces. The three laws are:
1) An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
2) The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the direction of the net force, and inversely proportional to the mass of the object.
3) For every action, there is an equal and opposite reaction.
The document provides explanations and examples of these laws, different types of forces including contact
A force is any push or pull that can cause an object to change its motion. The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass, as described by Newton's Second Law. Newton's Third Law states that for every action force there is an equal and opposite reaction force.
"Force and motionis" a physics Power point for the 9th grade students at the...Physics Amal Sweis
A force is any push or pull that can cause an object to change its motion. The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass, as described by Newton's Second Law. Newton's Third Law states that for every action force there is an equal and opposite reaction force.
"Force and motion" is a power point for the 9th grade Physics students at the...Physics Amal Sweis
1) A force is any push or pull that causes an object to change its motion or shape. Forces come in pairs - whenever one object exerts a force on another, the second object exerts an equal and opposite force back.
2) Newton's Second Law states that the acceleration of an object is directly proportional to the net force acting on it, and inversely proportional to its mass. Acceleration and net force always point in the same direction.
3) Newton's First Law says that objects at rest stay at rest and objects in motion stay in motion with the same speed and direction unless acted upon by a net unbalanced force.
Newton's Universal Law of Gravitation and some simple consequences, thereof. Introduction to satellite motion. Discussion of apparent weightlessness in free fall.
The document discusses key concepts in dynamics including different types of forces like normal force and friction. It explains Newton's laws of motion and how they can be applied to solve dynamics problems. Examples are provided on how to use the laws of motion to analyze inclined planes, lifts, tensions in connected objects, and other dynamics scenarios. Key concepts covered in 3 sentences or less include: Newton's laws of motion are introduced to explain how forces cause motion or changes in motion. Different types of forces like normal force, friction, and tension are defined. Examples are given on how to apply Newton's laws to solve dynamics problems involving inclined planes, connected objects, and lifts.
The document discusses the law of universal gravitation and gravity. It states that all objects with mass exert gravitational attraction on each other, and that the gravitational force depends on the masses of the objects and the distance between them. It also explains that while the Earth exerts a force we can feel, we cannot feel the force of nearer objects like desks because their force is smaller due to lower mass and closer proximity.
Gravity is a mysterious force that attracts all objects with mass, even when far apart. Newton discovered that all objects accelerate towards Earth at 9.81 m/s2, and the moon accelerates towards Earth at 2.72 m/s2. Gravity is weak but exists between all objects, causing dust in space to come together to form stars and planets.
1) A force acting on an object can cause it to change shape, size, start or stop moving, or accelerate or decelerate. There are many common forces like friction, gravity, magnetism, and contact forces.
2) Gravitational force is important for keeping the universe functioning as it causes planets to revolve around the sun and galaxies to exist. It also powers nuclear fusion in stars.
3) Sir Isaac Newton discovered gravity by observing an apple fall from a tree. Gravitational force follows an inverse square law where the force is directly proportional to the product of the masses and inversely proportional to the square of the distance between objects.
The document describes key concepts in physics including energy, force, motion, waves, electricity, and magnetism. Some key points covered include:
- Identifying energy transformations and transfers of heat energy through conduction, convection, and radiation.
- Describing and calculating concepts like velocity, acceleration, Newton's laws of motion, and mechanical advantage of simple machines.
- Investigating light and sound phenomena, static electricity, and the relationship between voltage, current and resistance in electric circuits.
- Relating electricity and magnetism and their common applications.
The document discusses different types of forces including gravitational force, electromagnetic force, weak nuclear force, strong nuclear force, weight, normal force, applied force, friction, and tension. It also explains Newton's three laws of motion - the law of inertia, the law of acceleration, and the law of interaction. The law of inertia states that an object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force. The law of acceleration establishes the relationship between an object's acceleration, mass, and the net force acting on it. The law of interaction, also known as the third law of motion, states that for every action there is an equal
A force is any interaction that causes a change in the motion of an object. There are several key laws of motion:
1) Newton's First Law states that an object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
2) Newton's Second Law states that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
3) Newton's Third Law states that for every action, there is an equal and opposite reaction.
The document goes
The forces acting on the box are:
1. Applied force (Fa) by the boy pulling the rope towards the right.
2. Frictional force (Ff) by the floor on the box opposing the motion towards the left.
3. Normal force (Fn) by the floor on the box perpendicular to the surface.
To determine the resultant force, we add the forces acting on the same line of action (towards the right and left).
Fa - Ff = Resultant force
Since Fa is greater than Ff, the resultant force is towards the right. Therefore, the box will accelerate towards the right direction as the net force is unbalanced to the right.
The document discusses different types of forces including gravitational force, electromagnetic force, weak nuclear force, strong nuclear force, weight, normal force, applied force, friction, and tension. It also explains Newton's three laws of motion - the law of inertia, the law of acceleration, and the law of interaction. The law of inertia states that an object at rest stays at rest and an object in motion stays in motion with the same speed and direction unless acted upon by an unbalanced force. The law of acceleration establishes the relationship between an object's acceleration, mass, and the net force acting on it. The law of interaction, also known as the third law of motion, states that for every action there is an equal and opposite reaction
How to Fix the Import Error in the Odoo 17Celine George
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
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Newton's three laws of motion are summarized as follows:
1) An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force.
2) The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
3) For every action, there is an equal and opposite reaction.
This document discusses Newton's laws of motion and provides examples of forces. It introduces Newton's three laws, including inertia, Fnet=ma, and action-reaction. Examples are given for each law such as an astronaut drifting in space (1st law), graphs of force vs. acceleration (2nd law), and collisions between objects of different masses (3rd law). Common forces like gravity, tension, and normal forces are also explained.
Force and Mass;
Types of Forces;
Contact forces;
Field forces;
Newtons laws of motion;
Explanation;
It’s not Newton’s Laws;
Its Rishi Kanad laws;
Proof of stolen three laws of motion; how newton theft the laws ?
newton a modern thief?
laws of motion by Rishi Kanad
Vaisheshika - laws of motion
Comparision - Kanad rishi vs Newton
References for theft
The document discusses Newton's three laws of motion:
1) An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force.
2) The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force.
3) For every action, there is an equal and opposite reaction.
A force is any push or pull that can cause an object to change its motion. The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass, as described by Newton's Second Law. Newton's Third Law states that for every action force there is an equal and opposite reaction force.
The document discusses key concepts in mechanics including:
1. Free body diagrams show only the external forces acting on an object and are useful for solving dynamics problems.
2. Newton's Second Law states that acceleration is proportional to net force and inversely proportional to mass.
3. Impulse is the product of force and time and equals change in momentum, affecting how objects move after collisions or other impacts.
Newton's laws of motion describe the relationship between an object and the forces acting upon it, and its response to those forces. The three laws are:
1) An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
2) The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the direction of the net force, and inversely proportional to the mass of the object.
3) For every action, there is an equal and opposite reaction.
The document provides explanations and examples of these laws, different types of forces including contact
A force is any push or pull that can cause an object to change its motion. The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass, as described by Newton's Second Law. Newton's Third Law states that for every action force there is an equal and opposite reaction force.
"Force and motionis" a physics Power point for the 9th grade students at the...Physics Amal Sweis
A force is any push or pull that can cause an object to change its motion. The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass, as described by Newton's Second Law. Newton's Third Law states that for every action force there is an equal and opposite reaction force.
"Force and motion" is a power point for the 9th grade Physics students at the...Physics Amal Sweis
1) A force is any push or pull that causes an object to change its motion or shape. Forces come in pairs - whenever one object exerts a force on another, the second object exerts an equal and opposite force back.
2) Newton's Second Law states that the acceleration of an object is directly proportional to the net force acting on it, and inversely proportional to its mass. Acceleration and net force always point in the same direction.
3) Newton's First Law says that objects at rest stay at rest and objects in motion stay in motion with the same speed and direction unless acted upon by a net unbalanced force.
Newton's Universal Law of Gravitation and some simple consequences, thereof. Introduction to satellite motion. Discussion of apparent weightlessness in free fall.
The document discusses key concepts in dynamics including different types of forces like normal force and friction. It explains Newton's laws of motion and how they can be applied to solve dynamics problems. Examples are provided on how to use the laws of motion to analyze inclined planes, lifts, tensions in connected objects, and other dynamics scenarios. Key concepts covered in 3 sentences or less include: Newton's laws of motion are introduced to explain how forces cause motion or changes in motion. Different types of forces like normal force, friction, and tension are defined. Examples are given on how to apply Newton's laws to solve dynamics problems involving inclined planes, connected objects, and lifts.
The document discusses the law of universal gravitation and gravity. It states that all objects with mass exert gravitational attraction on each other, and that the gravitational force depends on the masses of the objects and the distance between them. It also explains that while the Earth exerts a force we can feel, we cannot feel the force of nearer objects like desks because their force is smaller due to lower mass and closer proximity.
Gravity is a mysterious force that attracts all objects with mass, even when far apart. Newton discovered that all objects accelerate towards Earth at 9.81 m/s2, and the moon accelerates towards Earth at 2.72 m/s2. Gravity is weak but exists between all objects, causing dust in space to come together to form stars and planets.
1) A force acting on an object can cause it to change shape, size, start or stop moving, or accelerate or decelerate. There are many common forces like friction, gravity, magnetism, and contact forces.
2) Gravitational force is important for keeping the universe functioning as it causes planets to revolve around the sun and galaxies to exist. It also powers nuclear fusion in stars.
3) Sir Isaac Newton discovered gravity by observing an apple fall from a tree. Gravitational force follows an inverse square law where the force is directly proportional to the product of the masses and inversely proportional to the square of the distance between objects.
The document describes key concepts in physics including energy, force, motion, waves, electricity, and magnetism. Some key points covered include:
- Identifying energy transformations and transfers of heat energy through conduction, convection, and radiation.
- Describing and calculating concepts like velocity, acceleration, Newton's laws of motion, and mechanical advantage of simple machines.
- Investigating light and sound phenomena, static electricity, and the relationship between voltage, current and resistance in electric circuits.
- Relating electricity and magnetism and their common applications.
The document discusses different types of forces including gravitational force, electromagnetic force, weak nuclear force, strong nuclear force, weight, normal force, applied force, friction, and tension. It also explains Newton's three laws of motion - the law of inertia, the law of acceleration, and the law of interaction. The law of inertia states that an object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force. The law of acceleration establishes the relationship between an object's acceleration, mass, and the net force acting on it. The law of interaction, also known as the third law of motion, states that for every action there is an equal
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1) Newton's First Law states that an object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
2) Newton's Second Law states that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
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The forces acting on the box are:
1. Applied force (Fa) by the boy pulling the rope towards the right.
2. Frictional force (Ff) by the floor on the box opposing the motion towards the left.
3. Normal force (Fn) by the floor on the box perpendicular to the surface.
To determine the resultant force, we add the forces acting on the same line of action (towards the right and left).
Fa - Ff = Resultant force
Since Fa is greater than Ff, the resultant force is towards the right. Therefore, the box will accelerate towards the right direction as the net force is unbalanced to the right.
The document discusses different types of forces including gravitational force, electromagnetic force, weak nuclear force, strong nuclear force, weight, normal force, applied force, friction, and tension. It also explains Newton's three laws of motion - the law of inertia, the law of acceleration, and the law of interaction. The law of inertia states that an object at rest stays at rest and an object in motion stays in motion with the same speed and direction unless acted upon by an unbalanced force. The law of acceleration establishes the relationship between an object's acceleration, mass, and the net force acting on it. The law of interaction, also known as the third law of motion, states that for every action there is an equal and opposite reaction
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Chapter wise All Notes of First year Basic Civil Engineering.pptxDenish Jangid
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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2. NET FORCE
When the net force on an
object is zero, the
ACCELERATION of the object is
zero, However, the object may
still be moving IN A STRAIGHT
LINE
4. FUNDAMENTAL
FORCES
How many forces are involved
in a free body diagram?
1 Gravity
2 Electromagnetic
3 Strong Nuclear Force
4 Weak Nuclear Force
5. FUNDAMENTAL
FORCES
How many forces are involved
in a free body diagram?
1 Gravity
2 Electromagnetic
3 Strong Nuclear Force
4 Weak Nuclear Force
The strong and weak nuclear forces have very short
ranges and are only effective inside the nucleus.
Therefore, you only have TWO fundamental forces to
consider! Easy, right??
6. FUNDAMENTAL
FORCES
How many forces are involved
in a free body diagram?
1 Gravity
𝐹 = 𝐺
𝑚1𝑚2
𝑑2
In most cases, one of the two masses is the
earth (d is the radius of the earth, and Gm1/d2
is “little g” or approximately 9.8 m/s2).
Even placing an object at the top of a tall
skyscraper has little effect on gravity. The
acceleration due to gravity is usually a known
quantity given in the problem.
2 Electromagnetic
7. FUNDAMENTAL
FORCES
How many forces are involved
in a free body diagram?
1 Gravity
𝐹 = 𝐺
𝑚1𝑚2
𝑑2
2 Electromagnetic
Coulomb force
Magnetic force
Friction
Tension
Bouyant
Normal
Spring
Intermolecular
12. WHY IS THIS SO
HARD?
1.Resolve all force
vectors into their x y
and z components
2. Σ𝐹𝑛𝑒𝑡 = 0 𝑁
3.Draw each pair of
forces involved ONE
PAIR AT A TIME
Let’s make it simpler
13. Gravi
ty
(assume the ropes have
negligible weight. Then the
force of gravity on them is
zero. You may exclude these two
pairs of forces)
Intuitively, we might assume that the
force through each rope is 50N. But we
can also prove it mathematically.
𝑇1 = 𝑇2
𝑇1 + 𝑇2 = 100𝑁
A simple substitution gives us the
answer.
𝑇1 + 𝑇1 = 100𝑁
𝑇1 = 𝑇2 = 50𝑁
14. Gravi
ty
(assume the ropes have
negligible weight. Then the
force of gravity on them is
zero. You may exclude these two
pairs of forces)
According to Newton’s 3rd Law of Gravity,
forces always occur in pairs.
• What object does the “reaction force”
act on?
• What is the magnitude and direction of
this “reaction force”?
15. Gravi
ty
(assume the ropes have
negligible weight. Then the
force of gravity on them is
zero. You may exclude these two
pairs of forces)
Since we are only
concerned with the
forces acting on the
sign and not the
earth, we can
exclude the earth
and the reaction
force on it.
16. If the only force acting on
the sign were the weight of
the sign, there would be a
NON-ZERO net force acting on
the sign, and it would
accelerate in the direction
of the net force (in this
case, towards the ground)
18. CHECK YOUR WORK
Did we include all
relevant forces?
Suggestion – always start
with gravity
So far, we have drawn the
diagram. In the next step, we
will calculate the horizontal
and vertical components of the
tension forces in each rope.
20. WHAT DO WE KNOW
𝑇1=𝑇2cosΘ
We know this because the acceleration
(and hence the net force) in the
horizontal direction is zero.
Don’t confuse these forces for
action/reaction pairs of forces!
Remember that the “reaction” forces
are acting on THE SIGN. An easy way
to remember this is to pretend the sign
were made of a stretchy material.
21. WHAT DO WE KNOW
In this problem, it is
ESSENTIAL to solve for
T2 before proceeding to
the horizontal forces.
Once you’ve done enough
of these problems,
you’ll see that each one
is a puzzle to be
solved.
𝑇1=𝑇2cosΘ