Simple Harmonic Motion

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What is the significance of the negative sign in the equation F = -ky?

It indicates the force is proportional to the square of the displacement
It indicates the direction of force is in the same direction as displacement
It indicates the direction of force is opposite to the displacement (correct)
It indicates the force is inversely proportional to the displacement

What is the physical significance of the term ω² in the equation ω² = k/m?

It represents the spring constant of the spring
It represents the angular frequency of the oscillation (correct)
It represents the amplitude of the oscillation
It represents the moment of inertia of the particle

What is the kinetic energy of the particle when it is at its extreme position?

Equal to the potential energy
Zero
Maximum
Minimum (correct)

What is the physical significance of the term 'a' in the equation a = -ky/m?

It represents the acceleration of the particle (A) Signup and view all the answers

What is the total mechanical energy of the system at any given time?

It is equal to the sum of kinetic and potential energy (C) Signup and view all the answers

What is the effect of increasing gravity on the time period of a simple pendulum?

It decreases (C) Signup and view all the answers

What is the inertia factor of a simple pendulum?

m (C) Signup and view all the answers

What happens to the time period of a simple pendulum when the temperature increases?

It increases (A) Signup and view all the answers

What is the relationship between the amplitude and the time period of a simple pendulum?

The time period is independent of the amplitude (B) Signup and view all the answers

What is the spring factor of a simple pendulum?

mg/l (D) Signup and view all the answers

What is the relationship between the acceleration and displacement of a harmonic oscillator?

Acceleration ∝ – (Displacement) (D) Signup and view all the answers

What is the physical significance of the inertia factor 'm' in a linear SHM?

It is the mass of the body executing SHM (D) Signup and view all the answers

What is the effect of gravity on the amplitude of a harmonic oscillator?

Gravity has no effect on the amplitude of the oscillator (D) Signup and view all the answers

What is the physical significance of the spring factor 'k' in an angular SHM?

It is the restoring torque per unit angular displacement (B) Signup and view all the answers

How does the temperature affect the period of a harmonic oscillator?

The period remains constant with change in temperature (A) Signup and view all the answers

What is the velocity of the particle at the mean position in SHM?

Maximum (B) Signup and view all the answers

What is the direction of the velocity of the particle in SHM?

Either towards or away from the mean position (B) Signup and view all the answers

What is the acceleration of the particle at the extreme position in SHM?

Maximum (D) Signup and view all the answers

What is the relationship between the force and acceleration in SHM?

F = -mA (A) Signup and view all the answers

What is the shape of the graph between the velocity and displacement of a particle in SHM?

Ellipse (C) Signup and view all the answers

What is the kinetic energy of a particle in simple harmonic motion when it is at its mean position?

Maximum (B) Signup and view all the answers

What is the relationship between acceleration and displacement in simple harmonic motion?

Acceleration is inversely proportional to displacement (A) Signup and view all the answers

What is the maximum value of force in simple harmonic motion?

mω²a (B) Signup and view all the answers

What is the potential energy of a particle in simple harmonic motion at its extreme position?

Maximum (C) Signup and view all the answers

What is the frequency of variation of kinetic energy in simple harmonic motion?

2ω (C) Signup and view all the answers

What is the expression for the kinetic energy of the particle in S.H.M.?

1/2 mω²(a² - y²) (C) Signup and view all the answers

What is the phase angle by which acceleration leads velocity in S.H.M.?

π / 2 (D) Signup and view all the answers

What is the maximum potential energy in S.H.M.?

1/2 ka² (C) Signup and view all the answers

What is the ratio of acceleration amplitude to displacement amplitude in S.H.M.?

ω² (D) Signup and view all the answers

What is the force at the mean position in S.H.M.?

0 (B) Signup and view all the answers