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Simple Harmonic Motion Worksheet

1. A 0.50kg object vibrates at the end of a vertical spring (k= 82N/m). What is the

period of its vibration? (0.49s)

2. A 0.70kg object vibrates at the end of a horizontal spring (k = 75N/m) along a

frictionless surface. What is the frequency of the vibration. (1.6Hz)

3. An 8.8N object vibrates at the end of a horizontal spring along a frictionless

surface. IF the period of vibration is 1.1s, what is the spring constant? (29N/m)

4. A 1.00kg object vibrates at the end of a vertical spring. If the frequency of the

vibration is 1.25Hz, what is the spring constant? (62N/m)

5. An object vibrates at the end of a horizontal spring (k = 115N/m) along a

frictionless surface. If the frequency of the vibration is 1.50Hz, what is the mass

of the object? (1.29kg)

6. A 0.40kg mass vibrates with a frequency of 1.0Hz at the end of a spring. If the

0.40kg mass is replaced by a 0.80kg mass, what is the frequency of the vibration?

(0.71Hz) 7. After a bungee jump a 75kg student bobs up and down at the end of the bungee

cord at a frequency of 0.23Hz. What is the spring constant of the cord?

(1.6x102N/m)

8. A 0.025kg object vibrates in SHM at the end of a spring. If the maximum

displacement of the object is 0.030cm, and its period is 0.50s, what is the

maximum acceleration of the object? (4.7x10-2

m/s2)

9. A pendulum has a period of 3.6s, what is the frequency? (0.28Hz)

10. A spring vibrates 32 times in 56s. Find its period and frequency. (1.8s, 0.57Hz)

11. Find the length of a pendulum that has a period of 2.0s. (0.99m)

12. Find the length of a pendulum that has a frequency of 0.80Hz. (0.39m)

13. Determine the acceleration due to gravity at a location where a pendulum 0.75m

long has a frequency of 0.57Hz. (9.6m/s2)

14. The acceleration due to gravity on the moon is 1.6m/s2. How long of a pendulum

would be required to have a period of 1.0s? (0.041m)

15. The bob of a pendulum has a mass of 0.25kg. If this pendulum is 1.0m long, what

is its frequency? (0.50Hz)

16. In the pendulum of problem #15, the bob is replaced with a 0.50kg bob. IF the

length is unchanged what is the frequency? (0.50Hz)

17. Elwin, the bungee clown, swings back and forth like a simple pendulum at the end

of a bungee cord. If a student determines the time of one complete swing is 6.9s,

how long is the bungee cord when Elwin is swinging from it? (12m)