# Simple Harmonic Motion: Three problems

(See attached file for full problem description with symbols and diagrams)

1.) A block hangs in equilibrium from a vertical spring. When a second identical block is added, the original block sags by 6.00 .

Part A

What is the oscillation frequency of the two-block system?

2.) The figure is the velocity-versus-time graph of a particle in simple harmonic motion.

Part A

What is the position at

3.) A 90.0 mass on a 1.50 -m-long string is pulled 7.80 to one side and released.

Part A

How long does it take for the pendulum to reach 3.40 on the opposite side?

https://brainmass.com/physics/velocity/simple-harmonic-motion-three-problems-55925

#### Solution Preview

Please see the attachment.

1.) A block hangs in equilibrium from a vertical spring. When a second identical block is added, the original block sags by 6.00 .

Part A

What is the oscillation frequency of the two-block system?

**In Hz

The spring constant is give by

K = (F2 - F1)/(L2 - L1) = mg/0.06

Hence the frequency of the system is

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#### Solution Summary

Three problems related to oscillations are solved.