AP Pendulums

Which two statements are of true of a simple pendulum?

• The period is unaffected by the amplitude of motion.

• The motion is unaffected by a change in mass.

• The period is unaffected by a change in gravity.

• The motion is unaffected by a change in the length of the system.

An ideal pendulum hangs stationary at its equilibrium position.  Which of the following is true of the string supporting the mass?

• It is doing work.
• It is exerting a torque on the mass.
• The tension in the string is constant.
• There is no tension in the string.

Tags

NGSS.HS-PS2-4

Which of the following can be related to the period of a simple pendulum?
I. The rotational inertia of the bob
II. The angular momentum of the bob at its lowest point
III. The maximum angular displacement of the bob

• II only
• III only
• I, II and III
• None of the above

A pendulum's period is initially t.  Changes are made to the system so that the new period is 2t. What may have been changed?

• The length of the pendulum was increased by a factor of 2.
• The pendulum was moved to a planet with 2 times the mass of Earth.
• The length of the pendulum was increased by a factor of 4.
• The pendulum was moved to a planet with 4 times the  mass of earth.

A 5 kg ball hangs from a 10 m string. The ball is swung horizontally outward 90º from its equilibrium position. Assuming the system behaves as a simple pendulum, find the maximum speed of the ball during its swing.

• 50 m/s
• 14 m/s
• 10 m/s
• 5 m/s

Tags

NGSS.HS-PS2-1

NGSS.HS-PS3-2

The energy contained in a pendulum depends on its

I. period

II. amplitude

III. mass

• I only

• II only

• II and III only

• I, II, and III

Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2

Which of the following is true of a damped simple pendulum in which the amplitude of motion decreases exponentially?

• Its period decreases through time.
• The total energy of the pendulum remains the same.
• The maximum kinetic energy decreases through time.
• The maximum potential energy increases through time.

Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2

A pendulum has a period of 5 seconds. If the length of the pendulum is quadrupled, what is the new frequency of the pendulum?

• 0.2 Hz

• 0.10 Hz

• 0.05 Hz

• 0.8 Hz

• 0.4 Hz

A simple pendulum consists of a 1.0 kg brass bob on a string about 1 m long. It has a period of 2.0 seconds. The pendulum would have a period of 1.0 second if

• The string were replaced by one about 0.25 meter long

• The string were replaced by one about 2.0 meter long

• The bob were replaced by a 0.25 kg brass sphere

• The bob were replaced by a 4.0 kg brass sphere

A pendulum swinging with a maximum amplitude of π/3 has a period of T. If the maximum amplitude is decreased to π/6, what is the new period of the pendulum?

• T/4

• T/2

• T

• 2T