A Simple Harmonic Motion Of Amplitude A has A Time Period T. The Acceleration Of The Oscillator When Its Displacement Is Half The Amplitude Is

Two springs of equal lengths and equal cross-sectional areas are made of materials whose Young’s modulii are in the ratio of 3:2. They suspended and loaded with the same mass. When stretched and released, they will oscillate with time periods in the ratio of

Two bodies A and B of equal masses are suspended from two separate springs of force constants k₁ and k₂ respectively. If the two bodies oscillate such that their maximum velocities are equal, the ratio of the amplitudes of oscillation of A and B will be

Two springs A and B have force constants k₁ and k₂ respectively. The ratio of the work done on A to that done on B in increasing their lengths by the same amount is

Two springs A and B have force constants k₁ and k₂ respectively. The ratio of the work done on A to that done on B when they are stretched by the same force is

The mass m shown in figure is displaced vertically by a small amount and released. If the system oscillates with a period of 2 seconds, the value of the spring constant k is

A spring of force constant k is cut into three equal pieces. If these three pieces are connected in parallel, the force constant of the combination will be

Two springs of force constants k₁ and k₂ are connected as shown in figure. The time period of vertical oscillations of mass m is given by

A sonometer wire of length 120 cm is divided into three segments of lengths in the ratio of 1 : 2 : 3. What is the ratio of their fundamental frequencies?

A particle is in linear simple harmonic motion between two extreme pointsA and B, 10 cm apart (see fig). If the direction from A to B is taken as positive direction, what are signs of displacement x, velocity V and acceleration a, when the particle is at A?   

A body oscillates harmonically with amplitude 0.05 m. At a certain instant of time its displacement is 0.01 m and acceleration is 1.0 ms^-2. What is the period of oscillation?