A mass of 2.0 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes a simple harmonic motion. The spring constant is 200 N/m. What should be the minimum amplitude of the motion, so that the mass gets detached from the pan ?(Take g =10m/s2 )
8.0 cm
10.0 cm
Any value less than 12.0 cm
4.0 cm
The S.H.M. of a particle is given by the equation . The amplitude of motion is
7
12
1
5
The displacement of a particle between maximum potential energy position and maximum kinetic energy position in simple harmonic motion is:
A particle starts simple harmonic motion from the mean position. Its amplitude is a and time period is T. What is its displacement when its speed is half of its maximum speed ?
A wave has SHM (simple harmonic motion) whose period is 4 s while another wave which also possesses SHM has its period 3 s. If both are combined, then the resultant wave will have the period equal to :
4 s
5 s
12 s
3 s
A hollow sphere filled with water forms the bob of a simple pendulum. A small hole at the bottom of the bob allows the water to slowly flow out as it is set into small oscillations and its period of oscillations is measured. The time period will:
Increase
Decrease
Remain constant
First increases , then decreases
The kinetic energy of a particle executing S.H.M. is 16 J when it is in its mean position. If the amplitude of oscillations is 25 cm and the mass of the particle is 5.12 kg, the time period of oscillations is:
A particle is executing S.H.M. with an amplitude of 4 cm and time period 12 seconds. The time taken by the particle in going 2 cm from the mean position is T1 seconds. The time taken from this displaced position to reach the extreme position on the same side is T2 seconds. Then T1 /T2 will be :
2
1/3
1/2
The angular velocity and the amplitude of a simple pendulum is and respectively. At a displacement x from the mean position, if its kinetic energy is T and potential energy is U, then the ration of T to U is:
A rectangular block of mass m and the area of cross-section A floats in a liquid of density .If it is given a small vertical displacement from equilibrium it undergoes oscillation with a time period T. Then:
