Simple Harmonic Motion
Physics ⇒ Mechanics
Simple Harmonic Motion starts at 11 and continues till grade 12.
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A particle in SHM has a velocity of zero at t = 0 and is at its maximum displacement. What is the phase constant φ?
If the length of a simple pendulum is quadrupled, how does its period change?
In SHM, when is the potential energy maximum?
The equation for acceleration in SHM is a = -ω²x. What does ω represent?
A mass attached to a spring is pulled to a displacement of 0.2 m and released from rest. If the spring constant is 50 N/m and mass is 0.5 kg, what is the maximum speed?
A mass-spring system oscillates with amplitude 0.3 m and period 2 s. What is the maximum acceleration?
A particle in SHM has a displacement of 0.05 m at t = 0. If its amplitude is 0.1 m and angular frequency is 2 rad/s, what is the phase constant φ?
A particle in SHM has a velocity of zero at t = 0 and is at its maximum displacement. What is the phase constant φ?
Which of the following best describes the phase difference between displacement and acceleration in SHM?
(1) 0
(2) π/2
(3) π
(4) 2π
Which of the following is a necessary condition for a motion to be classified as simple harmonic motion (SHM)?
(1) The acceleration is always constant.
(2) The acceleration is always directed towards a fixed point and proportional to displacement from that point.
(3) The velocity is always constant.
(4) The force is always perpendicular to 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
Which of the following is the correct expression for the potential energy (U) in SHM at displacement x?
(1) U = (1/2) kx²
(2) U = (1/2) mv²
(3) U = kx
(4) U = (1/2) kA²
The energy in SHM is alternately stored as ________ energy and ________ energy.
The frequency of a simple pendulum depends on its ________ and the acceleration due to gravity.
The maximum displacement from the mean position in SHM is called ________.
The maximum kinetic energy in SHM is equal to the ________ energy at the mean position.
True or False: In SHM, the restoring force is always proportional to the square of the displacement.
True or False: In simple harmonic motion, the restoring force is always directed towards the equilibrium position.
True or False: The acceleration in SHM is maximum at the mean position.
True or False: The direction of velocity and acceleration are always the same in SHM.
