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# spring and simple harmonic motion

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1. Gina's favorite exercise equipment at the gym consists of various springs. In one exercise, she pulls a handle grip attached to the free end of a spring to 0.80 m from its unstrained position. The other end of the spring is held in place by the equipment frame. What is the magnitude of the force that Gina is applying to the handle grip?

2. Which one of the following statements is true concerning an object executing simple harmonic motion? Explain.

A. Its velocity is never zero
B. Its acceleration is never zero
C. Its velocity and acceleration are simultaneously zero.
D. Its velocity is zero when its acceleration is maximum.
E. Its maximum acceleration is equal to its maximum velocity.

3. A relaxed spring protrude from an opening 0.0500 meters as shown. A 1.00 kg block is found to just force the spring completely into the opening as shown.
A. Determine the spring constant k.
B. How much potential energy is stored in the spring in Fig.B?

Question#4

Complete the following statements:

In order to increase the frequency of the motion, one would have to

A. reduce the spring constant
B. decrease the mass of the block on the end of the spring
C. increase the length of the spring
D. reduce the distance that the spring is initially stretched.
E. Increase the distance that the spring is initially stretched
Explain the following statement that you selected to be true?

Question#5
Which one of the following statements is true concerning the motion of the block?

A. Its acceleration is constant
B. The period of its motion depends on its amplitude
C. Its acceleration is greatest when the spring returns to the 5.0cm position
D. Its velocity is greatest when the mass has reached its maximum displacement
E. Its acceleration is greates when the mass has reached its maximum displacement.
Explain why the statement you selected is true?

https://brainmass.com/physics/velocity/spring-simple-harmonic-motion-107563

#### Solution Preview

Question#1

According to Hook's law, the force of the spring on the handle is

Then according to Newton's law, the magnitude of the force that Gina is applying to the handle grip is 42.N as well.

Question#2

Which one of the following statements is true concerning an object executing simple
harmonic motion? Explain.

A. Its velocity is never zero
B. Its acceleration is never zero
C. Its velocity and acceleration are simultaneously zero.
D. Its velocity is zero when its acceleration is maximum.
E. Its maximum acceleration is equal to its maximum velocity.
D is correct.
The motion of the SHM can be written as
Then the velocity is
The acceleration is
The sin and cos functions are ...

#### Solution Summary

Spring and simple harmonic motion are investigated and discussed in the solution.

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