Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Question
Chapter 10, Problem 85AP
(a)
To determine
The speed of its center of mass just before it hits the horizontal surface.
(b)
To determine
The speed of the rod’s center of mass just before it hits the surface.
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A long piece of wood of length h and mass M is held vertically with its end
bottom resting on a horizontal frictionless surface. Then the piece of wood is
free to fall freely. Determine the speed of its center of mass just before hitting
the horizontal surface.
a)
a) A thin rod of mass M = 0.5 kg and length L= 8 m is attached to a frictionless table and is struck at a point L/4 from
its CM (as shown) by a clay ball of mass m = 1 kg moving at some speed. The ball sticks to the rod and rotates after the
collision. Consider the clay ball as a point object, therefore Iday = mr?. Calculate the moment of inertia relative to the
point of rotation Q immediately after the collision.
Hint: find r for the clay ball (distance from the point of rotation to the object). Apply the parallel axis theorem for the
rod Irod = ICM rod + Md?, find d for the rod (distance from the point of rotation Q to the center of mass of the rod).
b)
CMod.
b) A thin rod of mass M = 0.5 kg and length L = 8 m is initially at rest on a frictionless table and is struck at a point L/4
from its CM (as shown) by a clay ball of mass m = 1 kg moving at some speed. The ball sticks to the rod and rotates
after the collision. Consider the clay ball as a point object, therefore Iclay = mr2.…
A crate that has a mass of m = 5 kg slides down a smooth surface
through vertical distance h=85 cm and then collides and sticks to the
lower end of a vertical pole of mass M-10.5 kg and length 1-2.00m.
Right after the impact, the pole pivots about a point near its upper end
through an angle (theta) before it stops momentarily. See the image
provided to get a better understanding.
Figure out the following. Explain your steps in detail.
a. The speed of the crate just before it hits the pole
b. The angular speed of the pole just after impact
c. The angle (theta) through which the pole pivots
0
A
TR
h
Chapter 10 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
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