Simple Harmonic Motion (SHM): JEE Questions & Solutions

A cylindrical block of mass M and area of cross section A is floating in a liquid of density with its axis vertical. When depressed a…

The displacement of a particle executing simple harmonic motion with time period T is expressed as x(t)=A t, where A is the amplitude of…

As shown in the figure, a spring is kept in a stretched position with some extension by holding the masses 1 kg and 0.2 kg with a…

A light hollow cube of side length 10 cm and mass 10 g, is floating in water. It is pushed down and released to execute simple harmonic…

A particle is executing simple harmonic motion with a time period of 2 s and amplitude 1 cm. If D and d are the total distance and…

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Knowing initial…

Two bodies A and B of equal mass are suspended from two massless springs of spring constant k1 and k2, respectively. If the bodies…

A particle is subjected to simple harmonic motions as: x1 = 7 5t cm x2 = 2 7 ( 5t + 3) cm where x is displacement and t is time in seconds.…

A particle executes simple harmonic motion with an amplitude of 4 cm. At the mean position, the velocity of the particle is 10 cm/s. The…

A simple harmonic oscillator has an amplitude A and a time period 6 seconds. Assuming the oscillation starts from its mean position, the…

A particle performs simple harmonic motion with amplitude A. Its speed is increased to three times at an instant when its displacement is…

A particle of mass 0.5 kg executes simple harmonic motion under a force F = -50x ( N m^-1). The time period of oscillation is x35 seconds.…

A block of mass 2 kg is attached with two identical springs of spring constant 20 N/m each. The block is placed on a frictionless surface,…

A mass m attached to the free end of a spring executes SHM with a period of 1 s. If the mass is increased by 3 kg, the period of…

Assume that the Earth is a solid sphere of uniform density and a tunnel is dug along its diameter. When a particle is released in this…

A particle executes simple harmonic motion between x = -A and x = A. If the time taken by the particle to go from x = 0 to x = A is 2 s,…

A particle of mass 250 g executes simple harmonic motion under a periodic force F = -25x N. The particle attains a maximum speed of 4 m/s…

For a simple harmonic motion in a mass spring system shown, the surface is frictionless. When the mass of the block is 1 kg, the angular…

In the figure given below, a block of mass M = 490 g is placed on a frictionless table is connected with two springs having the same spring…

A mass m is attached to two springs of spring constants K1 and K2, respectively, as shown. The time period of oscillation of the mass m on…

A small particle of mass m moves in such a way that its potential energy U = 12m ^2 r^2 where is constant and r is the distance of the…

A particle executes S.H.M. of amplitude A along the x-axis. At t = 0, the position of the particle is x = -A^1 2, and it moves along the…

For a periodic motion represented by the equation y = t + t, the amplitude of the motion is:

A rectangular block of mass 5 kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude 1 m and time period…

In a linear Simple Harmonic Motion (SHM): (A) Restoring force is directly proportional to the displacement. (B) The acceleration and…