A 0.60-kg mass at the end of a spring vibrates 3.0 times per second with an amplitude of

Chapter 11, Problem 9P

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QUESTION:

Problem 9P

A 0.60-kg mass at the end of a spring vibrates 3.0 times per second with an amplitude of 0.13 m. Determine (a) the velocity when it passes the equilibrium point, (b) the velocity when it is 0.10 m from equilibrium, (c) the total energy of the system, (d) the equation describing the motion of the mass, assuming that x was a maximum at t = 0.

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QUESTION:

Problem 9P

A 0.60-kg mass at the end of a spring vibrates 3.0 times per second with an amplitude of 0.13 m. Determine (a) the velocity when it passes the equilibrium point, (b) the velocity when it is 0.10 m from equilibrium, (c) the total energy of the system, (d) the equation describing the motion of the mass, assuming that x was a maximum at t = 0.

ANSWER:

Solution

Step 1 of 4

  1. We need to find out the velocity when the spring passes the equilibrium point.

At equilibrium, the velocity will be maximum and the velocity at the equilibrium is given by,


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