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Physics / Physics with MasteringPhysics 4 / Chapter 13 / Problem 16P

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

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A mass oscillates on a spring with a period T and an

Chapter 13, Problem 16P

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QUESTION:

Problem 16P

A mass oscillates on a spring with a period T and an amplitude 0.48 cm. The mass is at the equilibrium position x = 0 at t = 0, and is moving in the positive direction. Where is the mass at the times (a) t = T/8, (b) t = T/4, (c) t = T/2and (d) t = 3T/4? (e) Plot your results for parts (a) through (d) with the vertical axis representing position and the horizontal axis representing time.

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QUESTION:

Problem 16P

A mass oscillates on a spring with a period T and an amplitude 0.48 cm. The mass is at the equilibrium position x = 0 at t = 0, and is moving in the positive direction. Where is the mass at the times (a) t = T/8, (b) t = T/4, (c) t = T/2and (d) t = 3T/4? (e) Plot your results for parts (a) through (d) with the vertical axis representing position and the horizontal axis representing time.

ANSWER:

Step 1 of 6

We are required to calculate the position of the mass at the given time periods.

The position of an object undergoing simple harmonic motion is given as,

$x=A\ cos\ (2\pi{}\frac{t}{T})$

Given:

The amplitude $A=0.48$ cm

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