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Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker
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Amass on a spring osculates with simple harmonic motion of

Chapter 13, Problem 13P

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QUESTION:

Problem 13P

Amass on a spring osculates with simple harmonic motion of amplitude A about the equilibrium position x = 0. Its maximum speed is vmax and its maximum acceleration is amax. (a) What is the speed of the mass at x =0? (b) What is the acceleration of the mass at x =0? (c) What is the speed of the mass at x = A? (d) What is the acceleration of the mass at x = A?

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QUESTION:

Problem 13P

Amass on a spring osculates with simple harmonic motion of amplitude A about the equilibrium position x = 0. Its maximum speed is vmax and its maximum acceleration is amax. (a) What is the speed of the mass at x =0? (b) What is the acceleration of the mass at x =0? (c) What is the speed of the mass at x = A? (d) What is the acceleration of the mass at x = A?

ANSWER:

a.)

Step 1 of 4

We have to find the speed of the mass at which oscillates with simple harmonic motion of amplitude about the equilibrium position .

The speed of the mass at is equal to its maximum speed. Now the maximum speed of the mass is .

Hence,

Therefore, the speed of the mass at is .

b.)

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