Dr. Campbell

16 HW Review Simple Harmonic Motion and Waves.docx 7 April 2017

Physics Review-Simple Harmonic Motion and Waves

Name

Period

The equations

∆F = k∆x (spring) T = g

lπ2 (pendulum) T =

k

mπ2 (spring)

KE = ½ mv2 PE = mgh (gravity) PE = ½ kx

2 (spring)

Helpful conversions. 1 mile/hour = 0.447 meter/second; 1 HP = 746 Watts

1000 g = 1 kg 100 cm = 1 m 1000 m = 1 km

2.2 pounds = 1 kg

1. A spring is found to have a displacement of 20. cm when a 30.0 g mass is hung from it. What

would the frequency of the spring be when a 50.0 g mass is hung from it?

2. A pendulum is found to have a period of 3.4 s on earth. If transported to the moon what is the

frequency? The acceleration due to gravity is 0.165g’s on the moon.

3. The length of the string or wire supporting a pendulum bob increases slightly when the

temperature of the string or wire increases. How does this affect a clock operated by a simple

pendulum? If a pendulum clock keeps perfect time at the base of a mountain, will it also keep

perfect time when it is moved to the top of the mountain? Explain.

4. A oscillating pendulum has a period TE on earth. The pendulum is transported to the moon

and the period is measured to be Tm. Is TE greater than, less than, or the same as Tm? Explain.

5. A vibrating spring has a period TE on earth. The pendulum is transported to the moon and the

period is measured to be Tm. Is TE greater than, less than, or the same as Tm? Explain.

6. A student collects the following information for a moving object.

Restoring Force (N) Displacement (m)

0.0 0.0

2.00 0.100

4.00 0.200

6.00 0.300

8.00 0.400

If the moving object a simple harmonic oscillator?

Labs

Spring Constant

Simple Harmonic Motion

Pendulum