Period and Frequency of Harmonic Motion

Practice Questions

AP Physics 1 › Period and Frequency of Harmonic Motion

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1

A horizontal spring with a constant is on a frictionless surface. If the mass is doubled, by what factor is the frequency of the spring changed? Assume simple harmonic motion.

2

A simple pendulum has a block of mass attached to one end and is rotating in simple harmonic motion. If the frequency of the pendulum is , what is the length of the pendulum?

3

A horizontal spring on a frictionless surface has a spring constant of with a mass of attached to the end of the spring. If the spring is stretched passed its point of equilibrium and released, how many times does the mass pass through equilibrium per minute?

4

The position of a mass in an oscillating spring-mass system is given by the following equation:

, where is measured in , and is measured in .

What is the period of the oscillations?

5

Determine the period of a sine wave that has a frequency of .

6

A block of mass 1.3 kg is attached to a spring whose force constant, , is . What is the frequency and period of the oscillations of this spring-block system?

7

Find the mass of the bob of a simple pendulum if the period of the pendulum is seconds, and the length of the pendulum is .

8

As on object passes through its equilibrium position during simple harmonic motion, which statements are true regarding its potential (U) and kinetic (K) energies?

9

Consider the following system:

Pendulum_1

If the mass reaches a maximum height of and the minimum angle is , what is the period of the pendulum?

10

A 300 g mass is attached to a spring and undergoes simple harmonic motion with a period of 0.25 s. If the total energy of the system is 3.0 J, what is the aplitude of the oscillations?

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