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What are the key differences between displacement and velocity in SHM?
Displacement: Position of the object from equilibrium. Velocity: Rate of change of displacement; has a π/2 phase shift relative to displacement.
What are the key differences between velocity and acceleration in SHM?
Velocity: Rate of change of displacement. Acceleration: Rate of change of velocity; 180° out of phase with displacement.
How do Amplitude and Period differ in SHM?
Amplitude: Maximum displacement from equilibrium. Period: Time for one full oscillation; independent of amplitude in SHM.
What is Simple Harmonic Motion (SHM)?
Oscillations that follow a smooth, repeating pattern (sine or cosine wave).
Define Amplitude (A) in SHM.
The maximum displacement of an object from its equilibrium position.
Define Frequency (f) in SHM.
The number of oscillations per unit time.
What is Angular Frequency (ω)?
A measure of the oscillation rate, related to frequency by ω = 2πf.
Define the Phase Constant (φ) in SHM.
Determines the initial position of the oscillating object at time t = 0.
What is Resonance?
The phenomenon where the amplitude of an oscillation increases dramatically when an external force is applied at the system's natural frequency.
What is Natural Frequency?
The frequency at which a system oscillates freely without any external force.
Define Period (T) in SHM.
The time taken for one complete oscillation.
What happens to velocity at maximum displacement in SHM?
Velocity is zero.
What happens to acceleration at equilibrium in SHM?
Acceleration is zero.
What happens to velocity at equilibrium in SHM?
Velocity is at its maximum.
What is the effect of doubling the mass in a mass-spring system on the period?
The period is multiplied by $\sqrt{2}$.
What is the effect of increasing the length of a simple pendulum on the period?
The period increases.
What happens when displacement passes through equilibrium?
Velocity reaches its maximum, and acceleration momentarily becomes zero.