Simple Harmonic Motion Concepts

The video tutorial introduces simple harmonic motion (SHM), explaining its significance and common examples like pendulums and springs. It discusses the relationship between acceleration and displacement, highlighting the proportionality and directionality aspects. The tutorial also covers energy dynamics in SHM, focusing on potential and kinetic energy, and provides graphical representations of energy changes over time and displacement.

Which of the following is a common example of simple harmonic motion?

• A ball rolling down a hill

• A pendulum swinging back and forth

• A bird flying in the sky

• A car moving on a highway

In simple harmonic motion, how does acceleration relate to displacement?

• Acceleration is twice the displacement

• Acceleration is in the opposite direction to displacement

• Acceleration is independent of displacement

• Acceleration is always in the same direction as displacement

What does it mean for acceleration to be proportional to displacement in SHM?

• The graph of acceleration vs. displacement is a curve

• The graph of acceleration vs. displacement is a straight line

• Acceleration decreases as displacement increases

• Acceleration is constant regardless of displacement

At the equilibrium position in SHM, what is the potential energy?

• Zero

• Equal to kinetic energy

• Negative

• Maximum

What happens to kinetic energy at maximum displacement in SHM?

• It is negative

• It is equal to potential energy

• It is zero

• It is at its maximum

How does total energy behave in simple harmonic motion?

• It decreases over time

• It fluctuates randomly

• It increases over time

• It remains constant

In a graph of energy vs. time for SHM, how do kinetic and potential energy relate?

• They are always equal

• They both decrease simultaneously

• They are inversely related

• They both increase simultaneously

What is the shape of the graph representing kinetic energy over time in SHM?

• A straight line

• A sine wave

• A hyperbola

• A parabola

When is potential energy at its maximum in SHM?

• At equilibrium

• When acceleration is zero

• At maximum displacement

• When kinetic energy is maximum

What is the significance of the equilibrium position in SHM?

• It is where potential energy is maximum

• It is where acceleration is maximum

• It is where kinetic energy is zero

• It is where displacement is zero