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

A mass M attached to a light spring oscillates with a period of 2 seconds. If the mass is increased by 2 kg the period increases by 1 second. What is the value of M?

A simple harmonic motion is given by the equation 

Where x is in metres. The amplitude of the motion is

Figure shows three identical springs A, B, C. When a 4 kg weight is hung on A, it descends by 1 cm. When a 6 kg weight is hung on C, it will descent by

A spring of force constant k is cut into two equal halves. The force constant of each half 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

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