AP Physics 1 - Harmonic Motion

1

A 30 kg weight attached to a spring is at equilibrium lying horizontally on a table. The spring is lifted up and is stretched by 80 cm before the weight is lifted off the table. What is this spring's spring constant ()?

2

A 30 kg weight attached to a spring is at equilibrium lying horizontally on a table. The spring is lifted up and is stretched by 80 cm before the weight is lifted off the table. What is this spring's spring constant ()?

3

In the lab, a student has created a pendulum by hanging a weight from a string. The student releases the pendulum from rest and uses a sensor and computer to find the equation of motion for the pendulum: $x(t)=0.13m;cos(6.3\frac{radians}{s}t+0.14:radians)$

The student then replaces the weight with a weight whose mass, is twice as large as that of the original weight without changing the length of the string. The student again releases the weight from rest from the same displacement from equilibrium. What would the new equation of motion be for the pendulum?

4

In the lab, a student has created a pendulum by hanging a weight from a string. The student releases the pendulum from rest and uses a sensor and computer to find the equation of motion for the pendulum: $x(t)=0.13m;cos(6.3\frac{radians}{s}t+0.14:radians)$

The student then replaces the weight with a weight whose mass, is twice as large as that of the original weight without changing the length of the string. The student again releases the weight from rest from the same displacement from equilibrium. What would the new equation of motion be for the pendulum?

5

You push on a door with a force of 1.3 N at an angle of 45 degrees to the surface and at a distance of 0.5 m from the hinges. What is the torque produced?

6

You push on a door with a force of 1.3 N at an angle of 45 degrees to the surface and at a distance of 0.5 m from the hinges. What is the torque produced?

7

Which simple pendulum will have a longer period?

$A:m = 10\textup{ kg}, L = 2\textup{ m}$

$B: m = 4\textup{ kg}, L = 3\textup{ m}$

$g = 10\ \frac{\textup{m}}{\textup{s}^2}$

8

A horizontal spring with a constant $k = 250\ \frac{\textup{N}}{\textup{m}}$ is on a frictionless surface. If the mass is doubled, by what factor is the frequency of the spring changed? Assume simple harmonic motion.

9

A horizontal spring with a constant $k = 250\ \frac{\textup{N}}{\textup{m}}$ is on a frictionless surface. If the mass is doubled, by what factor is the frequency of the spring changed? Assume simple harmonic motion.

10

Which simple pendulum will have a longer period?

$A:m = 10\textup{ kg}, L = 2\textup{ m}$

$B: m = 4\textup{ kg}, L = 3\textup{ m}$

$g = 10\ \frac{\textup{m}}{\textup{s}^2}$

Harmonic Motion

Practice Questions