What is the frequency of a simple harmonic oscillator dependent on?
a) The mass and the spring constant
b) The amplitude and the spring constant
c) The mass and the amplitude
d) The gravitational force
In simple harmonic motion, the restoring force is proportional to what?
a) The displacement from equilibrium
b) The velocity of the object
c) The amplitude of oscillation
d) The acceleration of the object
The period of a simple harmonic oscillator is given by the formula T = 2π√(m/k). What do m and k represent?
a) m = mass, k = spring constant
b) m = acceleration, k = velocity
c) m = velocity, k = displacement
d) m = force, k = acceleration
Which of the following is true for an object undergoing simple harmonic motion (SHM)?
a) The force acting on the object is always directed towards the equilibrium position
b) The object moves in a straight line at a constant speed
c) The acceleration is zero at the maximum displacement
d) The velocity is constant throughout the motion
Which of the following quantities is constant during simple harmonic motion?
a) The total mechanical energy
b) The velocity
c) The acceleration
d) The displacement
In simple harmonic motion, what is the phase difference between the displacement and velocity?
a) 90 degrees
b) 180 degrees
c) 0 degrees
d) 60 degrees
The amplitude of simple harmonic motion refers to the: a) Maximum displacement from the equilibrium position
b) Maximum speed
c) Maximum acceleration
d) Period of the motion
What is the acceleration of an object in simple harmonic motion at the equilibrium position?
a) Zero
b) Maximum
c) Equal to the velocity
d) Equal to the displacement
What is the relationship between period and frequency in simple harmonic motion?
a) T = 1/f
b) T = f²
c) T = f
d) T = 2πf
In SHM, what happens to the potential energy when the object passes through the equilibrium position?
a) The potential energy is zero
b) The potential energy is maximum
c) The potential energy is half of the total mechanical energy
d) The potential energy is equal to the kinetic energy
The frequency of a simple harmonic oscillator increases when: a) The spring constant increases
b) The mass increases
c) The amplitude increases
d) The damping increases
In simple harmonic motion, the restoring force is directly proportional to: a) The displacement
b) The velocity
c) The kinetic energy
d) The acceleration
What is the maximum speed of an object undergoing simple harmonic motion?
a) vmax = Aω
b) vmax = A²ω
c) vmax = 2Aω
d) vmax = Aω²
For an object undergoing simple harmonic motion, what is the relationship between acceleration and displacement?
a) The acceleration is proportional to the displacement and opposite in direction
b) The acceleration is inversely proportional to the displacement
c) The acceleration is equal to the displacement
d) The acceleration is zero at maximum displacement
What does the restoring force in simple harmonic motion depend on?
a) The displacement from the equilibrium position
b) The velocity of the object
c) The mass of the object
d) The amplitude of oscillation
Which of the following statements is correct about simple harmonic motion?
a) The acceleration is maximum when the displacement is maximum
b) The velocity is maximum when the displacement is zero
c) The restoring force is constant throughout the motion
d) The period is independent of mass and amplitude
The total mechanical energy in simple harmonic motion is: a) The sum of potential energy and kinetic energy
b) Zero at the maximum displacement
c) Equal to the displacement at all times
d) Maximum at the equilibrium position
In simple harmonic motion, what happens to the kinetic energy at maximum displacement?
a) The kinetic energy is zero
b) The kinetic energy is maximum
c) The kinetic energy is half of the total mechanical energy
d) The kinetic energy is equal to the potential energy
The period of a mass-spring system in simple harmonic motion is independent of which of the following?
a) The amplitude
b) The mass of the object
c) The spring constant
d) The gravitational force
What type of energy is associated with the oscillating object in simple harmonic motion?
a) Both kinetic and potential energy
b) Only potential energy
c) Only kinetic energy
d) Only thermal energy
What is the period of a simple pendulum?
a) T = 2π√(L/g)
b) T = 2π√(g/L)
c) T = √(L/g)
d) T = √(g/L)
In simple harmonic motion, at the point where the velocity is maximum, the acceleration is: a) Zero
b) Maximum
c) Minimum
d) Equal to the velocity
Which of the following describes the motion of an ideal mass-spring system?
a) Simple harmonic motion
b) Uniform circular motion
c) Parabolic motion
d) Circular motion
For a simple harmonic oscillator, what happens to the amplitude if the oscillation is damped?
a) The amplitude gradually decreases over time
b) The amplitude increases steadily
c) The amplitude stays constant
d) The amplitude fluctuates randomly
At what point in simple harmonic motion is the object’s potential energy equal to its kinetic energy?
a) At the midpoint between the equilibrium and maximum displacement
b) At the maximum displacement
c) At the equilibrium position
d) When the velocity is zero
What is the phase difference between displacement and acceleration in simple harmonic motion?
a) 180 degrees
b) 90 degrees
c) 0 degrees
d) 270 degrees
Which of the following does not affect the period of a simple pendulum in simple harmonic motion?
a) The amplitude of oscillation
b) The length of the pendulum
c) The acceleration due to gravity
d) The mass of the object at the end of the pendulum
