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Simple Harmonic Motion

Physics ⇒ Mechanics

Simple Harmonic Motion starts at 11 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Simple Harmonic Motion. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 11
A 2 kg mass attached to a spring oscillates with an amplitude of 0.05 m and angular frequency of 4 rad/s. What is the total energy of the system?
A block attached to a spring oscillates with an amplitude of 0.1 m and a period of 0.5 s. What is the maximum speed of the block?
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 of 0.5 kg is attached to a spring with a force constant of 200 N/m. What is the angular frequency (ω) of the system?
A mass-spring system oscillates with a frequency of 5 Hz. What is its period?
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 given by x = 0.2 cos(3t). What is its 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?
A simple pendulum has a length of 1 m. Calculate its period (Take g = 9.8 m/s²).
A spring has a force constant of 100 N/m. If a mass of 0.25 kg is attached, what is the period of oscillation?
If the length of a simple pendulum is quadrupled, how does its period change?
If the period of a simple pendulum is 2 seconds, what is its frequency?
In SHM, when is the potential energy maximum?
The displacement of a particle in SHM is given by x = 0.1 sin(2πt). What is the frequency of oscillation?
The equation for acceleration in SHM is a = -ω²x. What does ω represent?
The restoring force F in SHM is given by F = -kx. What does the negative sign indicate?
Write the general equation for displacement x(t) in simple harmonic motion.