Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 9, Problem 103P
To determine
The speed of center of mass of the sphere.
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Consider a physical system formed by a symmetrical rigid body with a circular profile of radius R. This rolls without sliding on a horizontal surface.
Which of the following statements is not correct?a. The velocity at the point of contact of the rigid body with the horizontal surface is zero. b. The speed of the center of mass of the rigid body is ωR c. The friction force of the rigid body with the ground is kinetic. d. The acceleration of the center of mass of the rigid body is αR
A wheel in the shape of a flat, heavy, uniform, solid disk is initially at rest at the top of an inclined plane of height 2.00 m when it begins to roll down the incline. If rolling and sliding friction are neglected, what is the linear velocity, in m/s, of the center-of-mass of the wheel when it reached the bottom of the incline?
Consider a homogeneous rigid body with a non-uniform distribution of mass. The body is rotating about a fixed axis. Which of the following statements about the moments of inertia is correct?
A) The principal axes of inertia will coincide with the axis of rotation.
B) The moment of inertia about the axis of rotation will be the smallest possible.
C) The moment of inertia about any axis parallel to the axis of rotation will be constant.
D) The moment of inertia tensor will be diagonal, with all diagonal elements distinct.
Choose the correct option and justify your choice.
Chapter 9 Solutions
Physics for Scientists and Engineers
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