This document discusses uniform circular motion. It defines uniform circular motion as motion along a circular path with constant speed. It describes key concepts like centripetal acceleration, which is directed radially inward, and centripetal force, which provides the inward force needed for uniform circular motion. Several example problems are worked through applying concepts like centripetal force and centripetal acceleration to situations involving objects moving in circular paths.
This presentation covers vertical motion under gravity, effect of air resistance on free fall & graphs of free fall. I hope this PPT will be helpful for instructors as well as students.
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Unit I: Force, Motion and Energy
Module 2 – Work and Energy
· Definition and Calculation of Work
· Kinetic Energy
· Potential Energy
· Work, Energy and Power Relations
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Module 2 – Work and Energy
· Definition and Calculation of Work
· Kinetic Energy
· Potential Energy
· Work, Energy and Power Relations
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A2 lesson, force in a circle
Describe qualitatively motion in a curved path due to a perpendicular force, and understand the centripetal acceleration in the case of uniform motion in a circle
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Week 3 OverviewLast week, we covered multiple forces acting on.docxmelbruce90096
Week 3 Overview
Last week, we covered multiple forces acting on an object. This week we will cover motion in two dimensions, inclined planes, circular motion, and rotation.
Forces in Two Dimensions (1 of 2)
So far you have dealt with single forces acting on a body or more than two forces that act parallel to each other. But in real life situations more than one force may act on a body. How are Newton's laws applied to such cases? We will restrict the forces to two dimensions.
Since force and acceleration are vectors, Newton's law can be applied independently to the X and Y-axes of a coordinate system. For a given problem you can choose a suitable coordinate system. But once a coordinate system is chosen, we have to stick with it for that problem. The example that follows shows how to find the acceleration of a body when two forces act on it at right angles to each other.
Forces in Two Dimensions (2 of 2)
To find the resultant acceleration we draw an arrow OA of length 3 units along the X-axis and then an arrow AB of length 4 units along the Y-axis. The resultant acceleration is the arrow OB with the length of 5 units. Therefore, the acceleration is 5 m/s2 in the direction of OB. Also when you measure the angle AOB with a protractor, we find it to be 53°.
The acceleration caused by the two forces is 5 m/s2 at an angle of 53°.
Uniform Circular Motion
When an object travels in a circular path at a constant speed, its motion is referred to as uniform circular motion, and the object is accelerated towards the center of the circle. If the radius of the circular path is r, the magnitude of this acceleration is ac = v2 / r, where v is its speed and ac is called the centripetal acceleration. A centripetal force is responsible for the centripetal acceleration, which constantly pulls the object towards the center of the circular path. There cannot be any circular motion without a centripetal force.
Banking
When there is a sharp turn in the road or when a turn has to be taken at a high speed as in a racetrack, the outer part of the road or the track is raised from the inner part of the track. This is called banking. It provides additional centripetal force to a turning vehicle so that it doesn't skid.
The angle of banking is kept just right so that it provides all the centripetal force required and a motorist does not have to depend on the friction force at all.
Inclined Planes
Forces on an Inclined Plane
The inclined plane is a device that reduces the force needed to lift objects. Consider the forces acting on a block on an inclined surface. The inclined surface exerts a normal force FN on the block that is perpendicular to the incline. The force of gravity, FG, points downward. If there is no friction, the net force, Fnet, acting on the block is the resultant of FN and FG. By Newton's second law the net force must point down the incline because the block moves only along the incline and not perpendicular to it.
The vector triangle shows .
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Uniform circular motion
1. • Francis Marlon Cabredo
• Mary Minette Geñorga
• Mary Judith Verdejo
2. VCircular motion:
Motion of a body along a circular
path is known as circular motion.
Uniform circular motion:
Motion of a body long a circular path
with the constant speed is called
uniform circular motion.
4. SPEED:
▪ In UCM, distance= the circumference of
the circle
▪ T(period) is the time (or number of
seconds) to make one revolution
5. PROBLEM 1: Tire Balancing Machine
• The wheel of a car has a radius of
0.29m and is being rotated at
0.072 sec/rev on a tire-balancing
machine. Determine the speed (in
m/s) at which the outer edge of the
wheel is moving. Use 3.14 as the
value for .
7. VELOCITY
▪ The velocity of an object in UCM has a constant
magnitude and a constant change in direction
▪ The object does not have constant velocity since
its direction changes at every point along the
circle.
▪ Also, The velocity is always tangent to the path of
the object.
8. In UCM, the velocity is always tangent to the path of the
object. The tangent specifies the direction of the motion.
VA
VD
VB
VC
At a time t0, the car is located
at point A with a velocity of VA,
this is tangent to the circle at
point A.
This means that…
The direction of the velocity of
the Car at point A is due west.
9. CENTRIPETAL ACCELERATION
▪ in UCM, an object has no constant velocity.
Therefore, If there is a change in velocity, then that must mean that an
object has acceleration.
Centripetal Acceleration. This acceleration has
constant magnitude but changing direction and is
directed radially inwards.
10. CENTRIPETAL ACCELERATION
• Symbol: ac
• Vector
• It is the rate of change of
Tangential velocity
• Always perpendicular to the
path of the motion.
• Points toward the center
of the circle.
VA
VD
VB
VC
A
B
C
D
12. PROBLEM 2: Centripetal Acceleration
The bobsled track at the 1994
Olympics in Norway, contained
turns with radii of 33 m and 24 m,
as the figure illustrates. Find the
centripetal acceleration at each
turn for a speed of 34 m/s, a speed
that was achieved in the two-man
event..
15. NEWTON’S SECOND LAW OF MOTION
STATES THAT ALL ACCELERATIONS ARE
CAUSED BY A NET FORCE ACTING ON AN
OBJECT. IN THE CASE OF UCM, THE NET
FORCE IS A SPECIAL FORCE CALLED
THE CENTRIPETAL FORCE .
16. CENTRIPETAL IS LATIN FOR "CENTER
SEEKING".
IT IS THE INWARD NET FORCE WHICH
KEEPS AN OBJECT MOVING WITH A
UNIFORM VELOCITY ALONG A
CIRCULAR PATH. THIS FORCE IS
DIRECTED ALONG THE RADIUS
TOWARDS THE CENTER.
CENTRIPETAL
FORCE
19. PROBLEM 3A: Centripetal Force
• A 400-g rock attached to a 1.0-m
string is whirled in a horizontal circle
at a constant speed of 10.0m/s.
Neglecting the effects of gravity,
what is the centripetal force acting
on the rock?
21. • FORCES SUCH AS THE GRAVITATIONAL FORCE (w=mg), TENSION
FORCE (tied to a string; pushing/ pulling), FRICTIONAL FORCE (Ex. a car
turning) and Normal force (on a surface) can be the centripetal forces
• GRAVITATIONAL FORCE. For satellites in orbit around a planet, the
centripetal force is supplied by gravity.
• TENSILE FORCE. For an object swinging around on the end of a rope in a
horizontal plane, the centripetal force on the object is supplied by the tension of the
rope.
22. THE CENTRIFUGAL FORCE ACTS AWAY FROM THE
CENTER. THE WORD ITSELF MEANS “FLEEING FROM
THE CENTER” . THIS FORCE IS A FICTITIOUS
FORCE. IT DOESN’T ACT ON A BODY IN MOTION, BUT
ONLY ON NON-INERTIAL COORDINATE SYSTEMS SUCH
AS A ROTATING ONE.
CENTRIFUGAL
FORCE
23. PROBLEM 5: Which way will the object go?
• An object on a guideline is in uniform circular
motion. The object is symbolized by a dot, and at
point O it is release suddenly from its circular
path.
• If the guideline is cut suddenly, will the object
move along OA or OP ?
24. ANSWER:
• the object would move along
the straight line between
points O and A, not on the
circular arc between points O
and P.
25. SOLUTION:
• NEWTON’S LAW OF MOTION:
“An object continues in a state of rest/ motion at a
constant speed unless compelled to changes to its net
force.”
When the object was suddenly released from its path, there was no longer a
net force (i.e. centripetal force) being applied to the object.
In the absence of a net force, the object will continue to
move at a constant speed but, along a straight line in the
direction it had at the time of release.
26. CENTRIFUGAL FORCE vs.
INERTIA
If you let go of the rope (or
the rope breaks) the object
will no longer be kept in that
circular path and it will be
free to fly off on a tangent.
27. 27
Uniform circular motion
emphasizes that
1.The speed, or the magnitude of the velocity vector, is constant.
2. Direction of the vector is not constant.
3. Change in direction, means acceleration
4. “Centripetal acceleration” , points toward the center of the
circle.
5. “Centripetal Force” is the net force that causes centripetal
acceleration
28. Assignment: • Solve the problems in the
Practice Math in yourbook,
page 19. (1/2 crosswise pad
paper)
• Study for the Long Test on,
July 18.
Topics: Types of Forces, Friction,
Laws of Motion, Uniform
Circular Motion
29. AP PHYSICS Circular Motion Mrs. Coyle
Practical ad Explorational Physics Padua et al
You and The Natural world Physics Navaza, Valdes
INTERNET
YOUTUBE
GOOGLE……..
SOURCES:
• Francis Marlon Cabredo
• Mary Minette Geñorga
• Mary Judith Verdejo
APPLICATIONS
PROBLEMS