A mass attached to the end of a spring is stretched a

Chapter 5, Problem 11P

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QUESTION:

Problem 11P

A mass attached to the end of a spring is stretched a distance x0 from equilibrium and released. At what distance from equilibrium will it have acceleration equal to half its maximum acceleration?

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QUESTION:

Problem 11P

A mass attached to the end of a spring is stretched a distance x0 from equilibrium and released. At what distance from equilibrium will it have acceleration equal to half its maximum acceleration?

ANSWER:

Step 1 of 3

The following are given by the question:

The speed is the half of the maximum speed at the displacement.

                                                                 

The speed of the SHO at displacement  is given by

                                                     

Here, is the speed, is the angular frequency, is the amplitude of the oscillation and  is the displacement.

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