17. Periodic Motion

Simple Harmonic Motion of Vertical Springs

17. Periodic Motion

# Simple Harmonic Motion of Vertical Springs - Video Tutorials & Practice Problems

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### Simple Harmonic Motion of Vertical Springs

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Problem

ProblemA spring with spring constant 15 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 6.0 cm and released. If the ball makes 30 oscillations in 20 s, what are its (a) mass and (b) maximum speed?

A

.17 kg; .56 m/s

B

.63 kg; .29 m/s

C

.17 kg; 1.12 m/s

D

.63 kg; .15 m/s

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example

### Example

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Problem

ProblemA chair of mass 30 kg on top of a spring oscillates with a period of 2s. (a) Find the spring's force constant. You place an object on top of the chair, and it now oscillates with a period of 3s. (b) Find the object's mass.

A

296 N/m; 1286.9 kg

B

188 N/m; 42.9 kg

C

188 N/m; 817.4 kg

D

296 N/m; 38.1 kg

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PRACTICE PROBLEMS AND ACTIVITIES (23)

- (II) A 1.45-kg mass stretches a vertical spring 0.245 m. If the spring is stretched an additional 0.130 m and ...
- (II) A block of mass m is supported by two identical parallel vertical springs, each with spring stiffness con...
- (III) A uniform 1.25-m-long stick of mass M can rotate easily about a hinge at one end and is held horizontal ...
- (II) Estimate the spring constant in a child’s pogo stick if the child has a mass of 32 kg and bounces once ev...
- A compact car has a mass of 1200 kg. Assume that the car has one spring on each wheel, that the springs are id...
- A 200 g block hangs from a spring with spring constant 10 N/m. At t = 0 s the block is 20 cm below the equilib...
- Your lab instructor has asked you to measure a spring constant using a dynamic method—letting it oscillate—rat...
- A spring is hung from the ceiling. When a block is attached to its end, it stretches 2.0 cm before reaching it...
- A spring is hanging from the ceiling. Attaching a 500 g physics book to the spring causes it to stretch 20 cm ...
- A spring is hanging from the ceiling. Attaching a 500 g physics book to the spring causes it to stretch 20 cm ...
- A 200 g block hangs from a spring with spring constant 10 N/m. At t = 0 s the block is 20 cm below the equilib...
- Scientists are measuring the properties of a newly discovered elastic material. They create a 1.5-m-long, 1.6-...
- A spring is standing upright on a table with its bottom end fastened to the table. A block is dropped from a h...
- (II) A fisherman’s scale stretches 3.2 cm when a 2.4-kg fish hangs from it. ...
- A 280-kg wooden raft floats on a lake. When a 68-kg man stands on the raft, it sinks 3.5 cm deeper into the wa...
- (II) A 0.350-kg mass oscillates on the end of a thin vertical spring (spring constant 265 N/m) with an amplitu...
- A 62-kg person jumps from a window to a fire net 20.0 m directly below, which stretches the net 1.4 m. Assume ...
- A particular unbalanced wheel of a car shakes when the car moves at 90.0 km/h. The wheel plus tire has mass 17...
- (I) (a) What is the equation describing the motion of a mass on the end of a spring which is stretched 7.8 cm ...
- A 62-kg person jumps from a window to a fire net 20.0 m directly below, which stretches the net 1.4 m. Assume ...
- (II) A 0.350-kg mass oscillates on the end of a thin vertical spring (spring constant 265 N/m) with an amplitu...
- (II) A 1.60-kg object oscillates at the end of a vertically hanging light spring once every 0.68 s. . Assume t...
- (II) A wood block of mass 52 g floats on a lake, bobbing up and down at a frequency of 3.5 Hz.(b) A partially ...