Understanding Simple Harmonic Motion

What is the definition of simple harmonic motion?

• Simple harmonic motion is the motion of an object oscillating back and forth around an equilibrium position, characterized by a restoring force proportional to its displacement.

• Any motion that does not return to an equilibrium position.

• A type of motion that involves constant acceleration.

• Motion that occurs in a straight line without oscillation.

What are the key characteristics of simple harmonic motion?

• Non-periodic motion with varying speed

• Irregular motion with no restoring force

• Key characteristics of simple harmonic motion include periodic oscillations, a restoring force proportional to displacement, constant frequency, and sinusoidal motion.

• Constant acceleration in one direction

What is the significance of the amplitude in SHM?

• The amplitude determines the frequency of SHM.

• The amplitude has no effect on the energy of the system.

• The amplitude is the minimum displacement from equilibrium.

• The amplitude in SHM signifies the maximum displacement from equilibrium and relates to the energy of the system.

How does the period of SHM relate to its frequency?

• The period of SHM is inversely related to its frequency.

• The period of SHM is equal to its frequency.

• The period of SHM has no relation to its frequency.

• The period of SHM is directly proportional to its frequency.

Describe the potential energy in simple harmonic motion.

• Potential energy is zero at maximum displacement.

• Potential energy is constant throughout the motion.

• Potential energy in simple harmonic motion is stored as (mgh), maximum at maximum displacement.

• Potential energy is calculated as (1/2)mv^2.

What role does mass play in the motion of spring mass system executing simple harmonic oscillation?

• Mass has no effect on the motion of a simple harmonic oscillator.

• Mass only affects the amplitude of oscillation.

• Mass influences the frequency and inertia of a simple harmonic oscillator.

• Mass determines the direction of motion in a simple harmonic oscillator.

List two real-world applications of simple harmonic motion.

• Pendulum clocks, Mass-spring systems

• Wind turbines

• Hydraulic lifts

• Electric motors

How does damping affect simple harmonic motion?

• Damping has no effect on the energy of simple harmonic motion.

• Damping causes simple harmonic motion to oscillate faster over time.

• Damping decreases the amplitude and energy of simple harmonic motion over time.

• Damping increases the amplitude of simple harmonic motion over time.

What is the graphical representation of displacement in SHM?

• A linear graph showing constant velocity.

• A circular graph indicating angular displacement.

• A sinusoidal wave (sine or cosine function) representing periodic displacement.

• A bar graph representing average speed.

Explain the phase difference between displacement and velocity in SHM.

• The phase difference is π radians (180 degrees).

• The phase difference is 0 radians (0 degrees).

• The phase difference between displacement and velocity in SHM is π/2 radians (90 degrees).

• The phase difference is π/4 radians (45 degrees).