Simple Harmonic Motion
Physics ⇒ Mechanics
Simple Harmonic Motion starts at 11 and continues till grade 12.
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A mass-spring system oscillates with amplitude A. At what displacement from the mean position is the kinetic energy equal to the potential energy?
If the amplitude of a simple harmonic oscillator is doubled, by what factor does its maximum kinetic energy change?
If the displacement of a particle in SHM is zero, what can you say about its kinetic and potential energies?
The displacement of a particle in SHM is given by x = A sin(ωt). What is the expression for its velocity as a function of time?
The displacement x of a particle in SHM is given by x = A cos(ωt + φ). What does the symbol φ represent?
A 2 kg mass attached to a spring executes SHM with a force constant of 50 N/m. Find the period of oscillation.
A particle in SHM has a displacement given by x = 0.05 sin(10t) m. What is its maximum speed?
A particle in SHM has a period of 4 s. How many oscillations does it complete in 20 s?
A simple pendulum has a length of 1 m. Calculate its period on Earth (g = 9.8 m/s²).
The time period of a simple pendulum depends on which of the following?
(1) Mass of the bob
(2) Length of the pendulum
(3) Acceleration due to gravity
(4) Both (2) and (3)
Which of the following best describes the acceleration of a particle in SHM?
(1) It is always constant.
(2) It is always directed away from the mean position.
(3) It is proportional to the displacement and directed towards the mean position.
(4) It is independent of displacement.
Which of the following is a necessary condition for a motion to be classified as simple harmonic motion (SHM)?
(1) The restoring force is proportional to the displacement and directed towards the mean position.
(2) The velocity is always constant.
(3) The acceleration is always zero.
(4) The force is independent of displacement.
Which of the following is not an example of simple harmonic motion?
(1) Motion of a simple pendulum (for small angles)
(2) Motion of a mass attached to a spring
(3) Motion of a planet around the sun
(4) Vibrations of a tuning fork
The energy of a simple harmonic oscillator is proportional to the ________ of its amplitude.
The maximum acceleration of a particle in SHM is given by _________.
The phase difference between displacement and acceleration in SHM is ________ radians.
The phase difference between velocity and displacement in SHM is ________ radians.
True or False: The frequency of a simple pendulum depends on the mass of the bob.
True or False: The total mechanical energy of a particle in SHM remains constant if there is no damping.
True or False: The velocity and acceleration of a particle in SHM are always in the same direction.
