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Simple Harmonic Motion
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Simple Harmonic Motion
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24 Questions

1. The pendulum on an old mechanical, weight-driven clock has a period of 3 s. What is the length of the clock’s pendulum?
2. If the string on the swing ball above is released, what will be the ball’s trajectory?
3. A mass of 50 kg is held vertically by two springs, one connected to the other. Each spring has a spring constant of 20 N/m. When set in motion, what is the system’s period?
4. A mass of 12 kg is hung onto a spring attached to the ceiling. The spring’s constant is 19 N/m. How far will the spring stretch when the weight is hung, and what will be the system’s period when activated?
5. A pendulum has a bob of 28 kg and is 38 cm in diameter. It is hung on a wire that is 67 m long. What is its period and frequency?
6. A meter stick is held at one end by a frictionless pivot and is held horizontally at the other end. Neglecting air resistance, how far will the meter stick swing when released?
7. A blue light wave vibrates at 6.662 ×10−11 Hz. What is its wavelength?
8. A 15-kg mass rests on two springs and is held by a spring attached to the ceiling. The spring constant for each of the bottom two springs is 10 N/m; for the upper spring 25, it is N/m. When set in motion, what is the system’s period?
9. A 10-kg mass is placed on a frictionless surface and attached to a spring that is attached to a fixed wall. The spring’s constant is 20 N/m. When set in motion, what is the system’s period? What is the period if the system is held vertically?
10. If a ball tied to a string is swung around in a horizontal circle, is it moving periodically?
11. A mass is attached to a spring, which is attached to a pivot on the ceiling. The period of the spring’s oscillation is equal to the period of the pendulum’s oscillation. Assuming no friction in the system, what happens to the mass when it is moved to one side and released?
12. A mass of 50 kg is held horizontally on a frictionless surface by two springs, one at each end of the mass. Each spring has a spring constant of 20 N/m. When set in motion, what is the system’s period?
13. Why will a pendulum not oscillate in zero gravity?
14. A common office toy consists of five steel balls, each suspended by two strings and each touching the adjacent ball(s). When a ball at the end is raised and then dropped, it hits the adjacent ball and the ball at the other end rises. Why?
15. A refrigerator compressor that weighs 8 kg is fixed to three springs on the refrigerator frame. Each has a spring constant of 0.01 N/m. What is the natural frequency of the system?
16. Why does putting your legs under the seat of a swing at the bottom of its motion, then outwardly swinging your legs at the top of the motion increase the height of the swing’s motion?
17. In Question 245, how can Quasimodo make the bell ring using a clapper?
18. Some large oil tankers have an antiroll water tank inside the hull that matches the resonant frequency of the ship’s hull. So, when ocean waves hit the ship at the resonant frequency, how does the water tank prevent the ship from capsizing in the waves?
19. What is special about a Foucault pendulum?
20. A mass of 50 kg is held vertically by a spring on each end of the mass. Both springs have a spring constant of 20 N/m. When set in motion, what is the system’s period?
21. A mass of 50 kg is held horizontally on a frictionless surface by two springs, one connected to the other. Each spring has a spring constant of 20 N/m. When set in motion, what is the system’s period?
22. The Moon is approximately 384,000 km from the Earth. The Moon revolves around the Earth once every 27.3 days. What is the frequency of the Moon’s motion?
23. A bell is hung in Notre Dame’s north tower. The bell and its clapper swing with the same period. When Quasimodo tries to ring the bell, it does not sound. Why?
24. A pendulum consists of a rigid rod that is 8 cm long with a 100-g mass on one end and a frictionless pivot attached to a plate on the other end. What must be done to the plate when the system is inverted (i.e., mass on the top, plate on bottom) to keep the pendulum oscillating?

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