What are the key differences between the period of a pendulum and the period of a mass on a spring?

Pendulum: $T = 2\pi \sqrt{\frac{L}{g}}$ , depends on length (L) and gravity (g). Mass-Spring: $T = 2\pi \sqrt{\frac{m}{k}}$ , depends on mass (m) and spring constant (k).

Flip to see [answer/question]

Revise later

SpaceTo flip

If confident

All Flashcards

What are the key differences between the period of a pendulum and the period of a mass on a spring?

Pendulum: $T = 2\pi \sqrt{\frac{L}{g}}$ , depends on length (L) and gravity (g). Mass-Spring: $T = 2\pi \sqrt{\frac{m}{k}}$ , depends on mass (m) and spring constant (k).

Compare and contrast the restoring force at the equilibrium point versus at the maximum displacement in SHM.

Equilibrium: Restoring force is zero. | Maximum Displacement: Restoring force is at its maximum.

What is Simple Harmonic Motion (SHM)?

Motion where an object is pulled back to equilibrium by a force proportional to its displacement.

Define Amplitude.

The maximum displacement from the equilibrium point.

Define Period (T).

Time for one full cycle of motion (in seconds).

Define Frequency (f).

Number of cycles per second (in Hertz, Hz).

What is a restoring force?

A force that pulls an object back to its equilibrium position.

What are the steps to applying Newton's Second Law to SHM?

Identify Forces. 2. Draw a Free-Body Diagram. 3. Note Mass & Acceleration. 4. Write F = ma Equation. 5. Solve for Acceleration. 6. Find Velocity & Position. 7. Graph It. 8. Solve Unknowns. 9. Repeat for multiple objects.

All Flashcards

What are the key differences between the period of a pendulum and the period of a mass on a spring?

Pendulum: $T = 2\pi \sqrt{\frac{L}{g}}$ , depends on length (L) and gravity (g). Mass-Spring: $T = 2\pi \sqrt{\frac{m}{k}}$ , depends on mass (m) and spring constant (k).

Compare and contrast the restoring force at the equilibrium point versus at the maximum displacement in SHM.

Equilibrium: Restoring force is zero. | Maximum Displacement: Restoring force is at its maximum.

What is Simple Harmonic Motion (SHM)?

Motion where an object is pulled back to equilibrium by a force proportional to its displacement.

Define Amplitude.

The maximum displacement from the equilibrium point.

Define Period (T).

Time for one full cycle of motion (in seconds).

Define Frequency (f).

Number of cycles per second (in Hertz, Hz).

What is a restoring force?

A force that pulls an object back to its equilibrium position.

What are the steps to applying Newton's Second Law to SHM?

Identify Forces. 2. Draw a Free-Body Diagram. 3. Note Mass & Acceleration. 4. Write F = ma Equation. 5. Solve for Acceleration. 6. Find Velocity & Position. 7. Graph It. 8. Solve Unknowns. 9. Repeat for multiple objects.