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Simple Harmonic Motion Basics

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Questions and Answers

Which of the following statements about SHM is true?

Displacement, velocity, and acceleration vary sinusoidally with time (correct)
The acceleration is not related to the displacement
All oscillatory motions are SHM
The restoring force is random

What is the defining characteristic of Simple Harmonic Motion (SHM)?

The restoring force is inversely proportional to the displacement
The restoring force is directly proportional to the displacement (correct)
The direction of acceleration changes constantly
The displacement is always zero

What is the equation for acceleration in Simple Harmonic Motion (SHM)?

a(t) = ω x(t)
a(t) = -2ω x(t)
a(t) = -ω2 x(t) (correct)
a(t) = ω2 x(t)

Why is Simple Harmonic Motion (SHM) described as a special case of oscillatory motion?

Because the displacement from the mean position is directly proportional to the restoring force (B) Signup and view all the answers

How does understanding Simple Harmonic Motion (SHM) benefit the study of sound waves, light waves, and alternating currents?

It aids in understanding the characteristics of sound waves, light waves, and alternating currents (B) Signup and view all the answers

What is the condition for linear Simple Harmonic Motion (SHM)?

Restoring force should always be proportional to the displacement (C) Signup and view all the answers

What is the key term that represents the point at which the net force acting on a particle in Simple Harmonic Motion is zero?

Mean Position (B) Signup and view all the answers

What does the amplitude in Simple Harmonic Motion represent?

Maximum displacement of the particle from the mean position (A) Signup and view all the answers

How is the phase of a vibrating particle defined in Simple Harmonic Motion?

The state of the vibrating or oscillating particle regarding its displacement and direction of vibration at a specific instant (D) Signup and view all the answers

What is the relationship between Frequency and Time Period in Simple Harmonic Motion?

$Frequency = 1/T$ (C) Signup and view all the answers