COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 8, Problem 22QAP
To determine
To explain cat will fall on her feet if she does not have tail
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Two solid spheres of radius R and mass m are initially separated by a distance d such that the two centres of mass are separated by d+3R as shown below. The spheres are initially at rest, but the gravitational force accelerates them towards each other until they collide.a) Calculate the initial mechanical energy of the system.b) Calculate the gravitational potential energy of the system at the moment they collide.c) Derive an expression for v. State carefully what physical law you are applying.d) Show that, in the limit d >> R, the velocity v is independent of d.
Problem 1:
Inputs:
a = b = 2 m
F₁ = F2
F3 = 350 N
a) Determine the net moment about point A
b) Determine the net moment about point B
c) Determine the net moment about point C
Use the scalar approach (not the cross product)
and use the table shown below.
Force component
F1 (y-component)
F2 (x-component)
F2 (y-component)
F3 (x-component)
a
Magnitude of
force (N)
(Absolute value)
A
Moment arm (m)
F₁
Net Moment
b
Required: Use the following table for each part of your solution. Thus, you must have 3 separate tables for
this problem. Even if you are comfortable with these concepts, you must use the table shown below in
order to receive full credit for this problem.
T
Moment (N-m)
C
B
F₂
Direction
(CW or CCW)
F3
A ping pong ball was dropped inside the bowl and was at rest initially then a person push the ping pong ball causing the ball to roll and also allowing the ball to not slip while rolling. By knowing that the ping pong ball is solid and has a radius of “r” and letting the “R” be the bowl radius, find the speed of the ping pong ball as it passes through the lowest point of the bowl as shown in figure where it starts from θ measured from the dotted vertical line through the center of the bowl without the ping pong ball slipping inside of the bowl.
Chapter 8 Solutions
COLLEGE PHYSICS
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