Simple Harmonic Motion Remediation (2021)

A force of 30 N stretches a very light spring 0.73 m from equilibrium. What is the spring constant?

• 41 N/m

• 22 N/m

• 34 N/m

• 46 N/m

A pair of trapeze performers at the circus is swinging from ropes attached to a large elevated platform.

Suppose that the performers can be treated as a simple pendulum with a length of 16 m.

Determine the period for one complete cycle.

• 2 sec

• 12 sec

• 8 sec

• 10 sec

A pendulum is 0.75 meters long and has a period of 4.17 seconds.

The pendulum is on an unknown planet.

What is the value of gravity of the unknown planet?

• 9.8 m/sec²

• 3.4 m/sec²

• 1.7 m/sec²

• Greater than 9.8 m/sec²

What is the period on Earth of a pendulum with a length of 2.4 m?

• 3.1 sec
• 1.9 sec
• 9.3 sec
• 5.1 sec

A simple harmonic oscillator takes 4.8 s to undergo five complete vibrations.

What is the frequency of 1 cycle?

• 1.04 Hz

• 4.8 Hz

• 0.208 Hz

A simple harmonic oscillator takes 4.8 sec to undergo five complete vibrations.

What is the period of 1 cycle?

• 4.8 sec

• 0.96 sec

• 9.8 sec

A simple pendulum with a length of 1 m oscillates on the surface of a hypothetical planet X.

What is the gravity on the planet if the period of oscillations is 4 sec?

• 1.6 m/sec²

• 3.7 m/sec²

• 2.5 m/sec²

• 11.2 m/sec²

If the period of a pendulum is 24 sec, what is the length of the pendulum?

• 143 m

• 214 m

• 98 m

A trapeze artist swings in simple harmonic motion with a period of 3.8 sec.

Calculate the length of the cables supporting the trapeze.

• 3.6 m

• 5.2 m

• 4.1 m

Calculate the period and frequency of a 3.5 m long pendulum at the North Pole, where acceleration due to gravity is 9.832 m/sec².

• 3.749 s; 0.2667 Hz

• 2.599 s; 0.3448 Hz

• 1.228 s; 1.365 Hz