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Can a single force applied to a body change both its

Chapter 4, Problem 2DQ

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QUESTION:

Can a single force applied to a body change both its translational and rotational motions? Explain.

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QUESTION:

Can a single force applied to a body change both its translational and rotational motions? Explain.

ANSWER:

Solution 2DQ Step 1: If the body rotated about some point other than the center of mass,the center of mass in the ground frame would be in circular motion. Now we know that the motion of the center of mass is governed by external forces only,and in case of a force applied for a short time,there is no external force acting on the center of mass subsequently. Subsequent motion of the center of mass will be linear and as the body as some angular momentum,it will rotate about center of mass.

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