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qUESTIONS

A body of mass 4 kg hangs from a spring and oscillates with a period 0.5 s. On the removal of the body, the spring is shortened by

Time period of a spring mass system is T. If this spring is cut into two parts whose lengths are in the ratio 1:3 and the same mass is attached to the smaller part, the new time period will be

A simple pendulum is released from A shown. If m and l represent the mass of the bob and Length of the pendulum, the gain kinetic energy at B is

What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of 10 cm? (g = 9.8 ms^-2)

When a body of mass 1.0 kg is suspended from a certain light spring hanging vertically, its length increases by 5 cm. By suspending 2.0 kg block to the spring and if the block is pulled through 10 cm and released, the maximum velocity in it (in ms¯¹) is (acceleration due to gravity = 10 ms-2)

The maximum velocity of a particle executing simple harmonic motion with an amplitude 7 m is 4.4 ms¯¹. The period of oscillation is

If a simple harmonic is represented by (d^2 x)/(dt^2) + αx = 0 its time period is

A particle executes SHM of amplitude 25 cm and time period 3 s. What is the minimum time required for the particle to move between two points 12.5 cm on either side of the mean position?

The displacement of an object attached to a spring and executing simple harmonic motion is given by x = 2 x 10^-2 cos(πt) metre. The time at which the maximum speed first occurs is

A simple harmonic wave having an amplitude A and time period T is represented by the equation y = 5sin π(t + 4) m Then the value of A in (metre) and T in (second) are

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