Pendulums and Periodic Motion

Simple Harmonic Motion & Spring Pendulum Notes

Essential Questions

1. How is simple harmonic motion related to a spring pendulum?

S.C. Standard -->

Multiple Choice

An object travels around a circle 50 times in ten

seconds, what is the frequency (in Hz) of its

motion?

Watch this video to check your work!

https://njctl.org/video/?v=T52fxgs1qg0

• 5.0 Hz

• 10 Hz

• 50 Hz

• 500 Hz

Multiple Choice

If an object is traveling in circular motion and its

period is 7.0s, how long will it take it to make 8

complete revolutions?

Watch this video to check your work!

https://njctl.org/video/?v=EEfrv73yUho

• 1.1 s

• 11 s

• 39 s

• 56 s

Multiple Choice

If it takes 50 seconds for an object to travel around

a circle 5 times, what is the period of its motion?

Watch this video to check your work!

https://njctl.org/video/?v=BHryxYo-Tdc

• 5 s

• 10 s

• 25 s

• 40 s

Open Ended

What's your good thing? What's your retirement plan (i.e. what are you working towards?) for life?

Multiple Choice

What is the wave speed if the period of a wave is

4.0 seconds and the wavelength is 1.8 m?

• 0.45 m/s

• 0.90 m/s

• 2.2 m/s

• 3.7 m/s

Multiple Choice

A fisherman noticed that a float makes 30 oscillations

in 15 seconds. The distance between two consecutive

crests in 2.0 m. What is the wave speed?

• 2.0 m/s

• 4.0 m/s

• 7.0 m/s

• 15 m/s

Multiple Choice

What is the wavelength of a wave traveling with a

speed of 6.0 m/s and a period of 3.0 s?

• 2.0 m

• 3.0 m

• 9.0 m

• 18 m

Multiple Choice

It takes 4.0s for a system to complete one cycle of

simple harmonic motion. What is the frequency of

the system?

Watch this video to check your work!

https://njctl.org/video/?v=2XjMq2RCHHk

• 0.25 Hz

• 0.41 Hz

• 0.56 Hz

• 0.83 Hz

Multiple Choice

The period of a mass-spring system is 4.0s and

the amplitude of its motion is 0.50m. How far does

the mass travel in 4.0s?

Watch this video to check your work!

https://njctl.org/video/?v=2CBsSb3rjZk

• 3.0 m

• 6.0 m

• 9.0 m

• 12 m

Multiple Choice

A spring whose spring constant is 20N/m is

stretched 0.20m from equilibrium; what is the

magnitude of the force exerted by the spring?

Watch this video to check your work!

https://njctl.org/video/?v=-CO5LHBWb4Y

• 4.0 N

• 5.0 N

• 8.0 N

• 9.0 N

Multiple Choice

A spring whose spring constant is 150 N/m exerts a

force of 30N on the mass in a mass-spring system.

How far is the mass from equilibrium?

Watch this video to check your work!

https://njctl.org/video/?v=pR3upbmrDoQ

• 0.010 m

• 0.050 m

• 0.13 m

• 0.20 m

Multiple Choice

A spring exerts a force of 50 N on the mass in a

mass-spring system when it is 2.0 m from

equilibrium. What is the spring's spring constant? Remember that

Watch this video to check your work!

https://njctl.org/video/?v=EopTsavN2B0

• 25 N/m

• 31 N/m

• 39 N/m

• 43 N/m

Multiple Choice

At which location(s) is the magnitude of the force

on the mass in a mass-spring system a

maximum?

Watch this video to check your work!

https://njctl.org/video/?v=kWdFXrXA57U

• x = A

• x = 0

• x = -A

• x = A and x = -A

Multiple Choice

At which location(s) is the magnitude of the force

on the mass in a mass-spring system a minimum?

Watch this video to check your work!

https://njctl.org/video/?v=81rOa-5h8OY

• x = A

• x = 0

• x = -A

• x = A and x = -A

Multiple Choice

At which location(s) is the kinetic energy of a

mass-spring system a maximum?

Watch this video to check your work!

https://njctl.org/video/?v=FMrXKWllY9A

• x = A

• x = 0

• x = -A

• x = A and x = -A

Multiple Choice

At which location(s) is the spring potential energy

(EPE) of a mass-spring system a maximum?

Watch this video to check your work!

https://njctl.org/video/?v=HYTQdglcnjs

• x = A

• x = 0

• x = -A

• x = A and x = -A

Multiple Choice

At which location(s) is the total energy of a mass spring

system a maximum?

Watch this video to check your work!

https://njctl.org/video/?v=bg7CU_uwRqU

• x = A

• x = -A

• x = A and x = -A

• All of the above

Multiple Choice

At which location(s) is the kinetic energy of a mass spring

system a minimum?

Watch this video to check your work!

https://njctl.org/video/?v=eKAERMbDxFo

• x = A

• x = 0

• x = -A

• x = A and x = -A

Multiple Choice

What is the total energy of a mass-spring system if

the mass is 2.0kg, the spring constant is 200N/m

and the amplitude of oscillation is 3.0m?

Watch this video to check your work!

• 300 J

• 450 J

• 600 J

• 900 J

Multiple Choice

What is the maximum velocity of the mass in

the mass-spring system from the previous slide:

the mass is 2.0kg, the spring constant is 200N/

m and the amplitude of oscillation is 3.0m?

Watch this video to check your work!

https://njctl.org/video/?v=c8UfFvgqLjE

• 6.0 m/s

• 15 m/s

• 30 m/s

• 40 m/s

Multiple Choice

What is the period of a mass-spring system if the

mass is 4.0kg and the spring constant is 64N/m?

Watch this video to check your work!

https://njctl.org/video/?v=U-Xb4tnhQas

• 0.39 s

• 0.88 s

• 1.0 s

• 1.6 s

Multiple Choice

What is the frequency of the mass-spring system

from the previous slide; the mass is 4.0kg and the

spring constant is 64N/m?

Watch this video to check your work!

https://njctl.org/video/?v=baHcwbn3wmI

• 0.41 Hz

• 0.64 Hz

• 0.77 Hz

• 0.93 Hz