Which of the following statements is not true for a rigid body? a.At any given instant, the angular velocity for every point on a rigid body is the same given the axis of rotation. b.When a rigid body executes a pure rolling motion, the center-of-mass distance traveled by the body must be the same as the linear distance of motion due to its rotation. c.At any given instant, the angular acceleration for every point on a rigid body is the same given the axis of rotation. d.At any given instant, the linear velocity for every point on a rigid body is the same given the axis of rotation. e.Any two points on a moving rigid body are always the same distance apart.

Options: a, b, c and e are correct Reasons: a) Angular velocity is the rate of change of angular…

Answered: Which of the following statements is…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 63PQ: A uniform cylinder of radius r = 10.0 cm and mass m = 2.00 kg is rolling without slipping on a...

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Which of the following statements is not true for a rigid body?

	a.	At any given instant, the angular velocity for every point on a rigid body is the same given the axis of rotation.
	b.	When a rigid body executes a pure rolling motion, the center-of-mass distance traveled by the body must be the same as the linear distance of motion due to its rotation.
	c.	At any given instant, the angular acceleration for every point on a rigid body is the same given the axis of rotation.
	d.	At any given instant, the linear velocity for every point on a rigid body is the same given the axis of rotation.
	e.	Any two points on a moving rigid body are always the same distance apart.

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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