Introduction to Physical Science: Simple Harmonic Motion

This lecture introduces simple harmonic motion, focusing on pendulums and springs. It explains Hooke's law and how the period of oscillation is independent of amplitude for small oscillations. Examples include calculating frequency and period for a car's suspension and determining gravity using pendulum data. The lecture concludes with a summary of key points.

What is Hooke's law for a spring?

• F = kx

• F = -kx

• F = ma

• F = mg

In simple harmonic motion, what are we ignoring?

• Amplitude and frequency

• Displacement and equilibrium

• Mass and force constant

• Air resistance and friction

What is the period of a simple harmonic oscillator dependent on?

• Amplitude and frequency

• Mass and force constant

• Amplitude and mass

• Force constant and displacement

If a car has a mass of 900 kg and a force constant of 6.53 x 10^4 N/m, what is the frequency of oscillation?

• 1.36 Hz

• 1.0 Hz

• 0.738 Hz

• 2.5 Hz

What is a simple pendulum?

• A large mass suspended from a heavy string

• A small mass suspended from a light string

• A massless object oscillating in air

• A spring with a mass attached

For small angles, what does the restoring force of a pendulum depend on?

• Length of the string and displacement

• Displacement and mass

• Mass and gravitational constant

• Mass and length of the string

What is the period of a pendulum dependent on?

• Displacement and mass

• Length of the string and gravitational constant

• Mass and length of the string

• Mass and gravitational constant

If a pendulum has a length of 0.75 meters and a period of 1.7357 seconds, what is the acceleration due to gravity?

• 9.8 m/s^2

• 9.8281 m/s^2

• 9.5 m/s^2

• 10 m/s^2

What does the period of a simple harmonic oscillator not depend on?

• Force constant

• Displacement

• Mass

• Amplitude

What is the key characteristic of simple harmonic motion?

• The period depends on the mass

• The period is independent of the force constant

• The period is independent of the amplitude

• The period depends on the amplitude