Mass-Spring System Dynamics

The video tutorial explains the concepts of amplitude and period in the context of a mass oscillating on a spring. It clarifies that while amplitude is the maximum displacement from equilibrium, it does not affect the period of oscillation. The period is determined by the mass and the spring constant, as described by the formula: period = 2π * sqrt(mass/spring constant). The video also highlights that this formula applies to both horizontal and vertical oscillations and is independent of gravitational acceleration.

What is the maximum displacement from equilibrium called in a mass-spring system?

• Frequency

• Velocity

• Amplitude

• Period

Which factor does NOT affect the period of a mass oscillating on a spring?

• Spring constant

• Gravitational acceleration

• Mass

• Amplitude

If the amplitude of a mass-spring system is increased, what happens to the period?

• It becomes zero

• It increases

• It decreases

• It remains the same

What is the formula for the period of a mass on a spring?

• 2π * √(mass/spring constant)

• 2π * √(spring constant/mass)

• mass * spring constant

• spring constant / mass

Why does increasing the mass in a mass-spring system increase the period?

• Because it decreases inertia

• Because it increases inertia

• Because it decreases spring force

• Because it increases spring force

How does increasing the spring constant affect the period of oscillation?

• It decreases the period

• It has no effect on the period

• It increases the period

• It doubles the period

What is the effect of a larger spring constant on the force exerted by the spring?

• It decreases the force

• It reverses the force

• It increases the force

• It has no effect on the force

What happens to the period if the mass is oscillating vertically instead of horizontally?

• It becomes zero

• It increases

• It decreases

• It remains the same

Does gravitational acceleration affect the period of a mass on a spring?

• Yes, it increases the period

• Yes, it doubles the period

• No, it does not affect the period

• Yes, it decreases the period

If a mass-spring system is taken to the moon, what happens to its period?

• It increases

• It decreases

• It becomes zero

• It remains the same