Revision chapter 10 Science Form 2
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1. The document provides 4 problems involving levers, including calculating unknown lengths, masses, and classes of levers based on diagrams showing levers in equilibrium with given loads or forces. 2. Problem 1 asks for examples of 3 devices for each class of lever and gives a diagram of a rod in equilibrium under 2 loads to calculate the rod's length. 3. Problem 2 shows a simple lever diagram to calculate the mass needed to balance a given load at different distances on the lever arm.
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Physics 226
Fall 2013
Problem Set #1
NOTE: Show ALL work and ALL answers on a piece of separate loose leaf paper, not on this sheet.
Due on Thursday, August 29th
1) Skid and Mitch are pushing on a sofa in opposite
directions with forces of 530 N and 370 N respectively.
The mass of the sofa is 48 kg. The sofa is initially at rest
before it accelerates. There is no friction acting on the
sofa. (a) Calculate the acceleration of the sofa. (b) What
velocity does the sofa have after it moves 2.5 m? (c) How
long does it take to travel 2.5 m?
2) You have three force
vectors acting on a
mass at the origin.
Use the component
method we covered
in lecture to find
the magnitude and
direction of the re-
sultant force acting
on the mass.
3) You have three force
vectors acting on a
mass at the origin.
Use the component
method we covered
in lecture to find
the magnitude and
direction of the re-
sultant force acting on
the mass.
4) A bowling ball rolls off of a table that is 1.5 m tall. The
ball lands 2.5 m from the base of the table. At what speed
did the ball leave the table?
5) Skid throws his guitar up
into the air with a velocity
of 45 m/s. Calculate the
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6)
A beam of mass 12 kg and length 2 m is attached to a
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At the bottom of its swing it has a
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y
F2 = 90 N
F1 = 40 N 35
8) Derivatives:
a) Given: Lx2Lx4y 22 , find
dx
dy
.
b) Given:
Lx2
Lx2lny , find
dx
dy
.
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a) Given:
o
o
45
45
d
r
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, evaluate.
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R
0 2322
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xr
kx , evaluate.
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b) 4.08 m/s
c) 1.23 s
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3) 27.4 N, 16.1º S of E
4) 4.5s m/s
5) 103.3 m
6) 78.8 N
7) 1.78N
8) a) 24x2 + 8xL – 4L
b) 22 x4L
L4
9) a)
r
k2
b)
22 xR
x1k2
45 x
F3 = 60 N
y
F2 = 65 N
F1 = 45 N 60
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F3 = 60 N
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1. The document describes a system consisting of two blocks placed at the ends of a horizontal massless board that rests on an axis of rotation. The moment of inertia of the system is given as 12 kg·m2.
2. It then presents a problem involving a wrecking ball supported by a boom. Forces acting on the system include the weight of the wrecking ball, the weight of the boom, and the tension in a support cable.
3. The document solves the problems by applying principles of equilibrium, including analyzing torque equations and using trigonometric relationships between forces and angles. Solutions are obtained for requested values like tension in the support cable and magnitude of the force on the lower end of the boom
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2. The coefficient of friction does not change with weight of the body, as it depends on the nature of the surfaces, not the weight.
3. The gravitational field inside a solid sphere varies directly as the distance (x) from the centre if x < R, and inversely as x if x > R, where R is the radius of the sphere.
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2. It provides examples of calculating moments and using the principle of moments, which states that for an object in equilibrium, the sum of clockwise moments equals the sum of anticlockwise moments.
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This document summarizes key concepts from a chapter on rotational dynamics:
- It discusses rotational motion versus translational motion and defines torque as the cause of angular acceleration.
- Rigid objects in equilibrium are analyzed using the concepts of torque and center of gravity.
- Newton's second law is extended to rotational motion, defining moment of inertia and relating torque to angular acceleration.
- Several example problems demonstrate calculating torque, center of gravity, and rotational motion and equilibrium for various objects.
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Experiment to determine the moment of inertia of a flywheel. A weight was allowed to fall through a known distance while attached to the flywheel by cord. The number of revolutions of the flywheel during the fall and after were counted. Using the kinetic energy equation and conservation of energy principle, the moment of inertia was calculated. The average moment of inertia calculated from multiple trials was 44.1x10-3 kgm2.
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Physics 226 Fall 2013 Problem Set #1 NOTE Sh.docx
Physics 226
Fall 2013
Problem Set #1
NOTE: Show ALL work and ALL answers on a piece of separate loose leaf paper, not on this sheet.
Due on Thursday, August 29th
1) Skid and Mitch are pushing on a sofa in opposite
directions with forces of 530 N and 370 N respectively.
The mass of the sofa is 48 kg. The sofa is initially at rest
before it accelerates. There is no friction acting on the
sofa. (a) Calculate the acceleration of the sofa. (b) What
velocity does the sofa have after it moves 2.5 m? (c) How
long does it take to travel 2.5 m?
2) You have three force
vectors acting on a
mass at the origin.
Use the component
method we covered
in lecture to find
the magnitude and
direction of the re-
sultant force acting
on the mass.
3) You have three force
vectors acting on a
mass at the origin.
Use the component
method we covered
in lecture to find
the magnitude and
direction of the re-
sultant force acting on
the mass.
4) A bowling ball rolls off of a table that is 1.5 m tall. The
ball lands 2.5 m from the base of the table. At what speed
did the ball leave the table?
5) Skid throws his guitar up
into the air with a velocity
of 45 m/s. Calculate the
maximum height that the
guitar reaches from the point
at which Skid let’s go of the
guitar. Use energy methods.
6)
A beam of mass 12 kg and length 2 m is attached to a
hinge on the left. A box of 80 N is hung from the beam
50 cm from the left end. You hold the beam horizontally
with your obviously powerful index finger. With what
force do you push up on the beam?
7) The tennis ball of mass 57 g which
you have hung in your garage that
lets you know where to stop your
car so you don’t crush your garbage
cans is entertaining you by swinging
in a vertical circle of radius 75 cm.
At the bottom of its swing it has a
speed of 4 m/s. What is the tension
in the string at this point?
Mitch Sofa Skid
y
F2 = 90 N
F1 = 40 N 35
8) Derivatives:
a) Given: Lx2Lx4y 22 , find
dx
dy
.
b) Given:
Lx2
Lx2lny , find
dx
dy
.
9) Integrals:
a) Given:
o
o
45
45
d
r
cosk
, evaluate.
b) Given:
R
0 2322
dr
xr
kx , evaluate.
ANSWERS:
1) a) 3.33 m/s2
b) 4.08 m/s
c) 1.23 s
2) 48.0 N, 61.0º N of W
3) 27.4 N, 16.1º S of E
4) 4.5s m/s
5) 103.3 m
6) 78.8 N
7) 1.78N
8) a) 24x2 + 8xL – 4L
b) 22 x4L
L4
9) a)
r
k2
b)
22 xR
x1k2
45 x
F3 = 60 N
y
F2 = 65 N
F1 = 45 N 60
50 x
70
F3 = 60 N
Guitar
Skid
Physics 226
Fall 2013
Problem Set #2
1) A plastic rod has a charge of –2.0 C. How many
electrons must be removed so that the charge on the rod
becomes +3.0C?
–
+
+
+
2)
Three identical metal spheres, A, B, and C initially have
net charges as shown. The “q” .
2nd codition of equilibrium
The document discusses rotational equilibrium as the second condition of equilibrium for objects under the influence of forces. It defines key terms like moment arm, torque, and explains that for an object to be in rotational equilibrium, the sum of all torques about any axis must be zero. It provides examples calculating torque using the equation torque = force x moment arm, and illustrates applying the first and second conditions of equilibrium to solve for unknown forces on an object.
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Chapter 9 tutorial exercises with solutions 19 02 2013
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Malaysia has high biodiversity and is one of 12 mega biodiverse countries due to its wide variety of organisms. Biodiversity refers to the variety of life on Earth, from different kingdoms of organisms like animals and plants. Organisms are classified into groups like vertebrates and invertebrates to sort them according to their characteristics, which allow them to adapt to different habitats.
CHAPTER 1: INTRODUCTION TO PHYSICS
This document introduces various topics in physics including forces, motion, heat, light, waves, electricity, electromagnetism, electronics, and radioactivity. It discusses base and derived units used to measure and quantify physical properties and phenomena. These include units for length, mass, time, electric current, temperature, and more. It also provides examples of measurements and calculations involving these units.
2.2 the importance of balanced diet
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Chapter 1 Mechanics
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2. Dimensions relate physical quantities to base units like mass, length, and time, and are used to check the homogeneity of equations and derive new equations.
3. There are two types of errors: systematic errors due to instruments, observers, or surroundings, and random errors from mistakes or varying conditions that can be reduced by taking multiple readings.
3.1 organism and their classifications
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Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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