Answered: A thin straight rod of 2 m length can…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 6OQ: Consider an object on a rotating disk a distance r from its center, held in place on the disk by...

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Question

A thin straight rod of 2 m length can rotate in a horizontal plane around a frictionless shaft passing through one end as shown in the figure. As it is released on a 37 degree horizontal plane;

a) Find the angular velocity of the rod when it reaches the horizontal position.

b) When the bar is horizontal, find the linear velocity of the center of mass.

c) Find the angular acceleration of the rod at its starting position.

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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