Which one of the following is a simple harmonic motion ?
Ball bouncing between two rigid vertical walls
Particle moving in a circle with uniform speed
Wave moving through a string fixed at both ends
Earth spinning about its own axis
The potential energy of a long spring when stretched by 2 cm is U. If the spring is stretched by 8 cm the potential energy stored in it is:
4U
8U
16 U
U/4
A horizontal surface moves up and down in S.H.M with an amplitude of 1 cm. If mass of 10 kg (which is placed on the surface) is to remain continuously in contact with it, the maximum frequency of S.H.M. will be:
5 Hz
0.5 Hz
1.5 Hz
10 Hz
A particle of mass 10 g is executing S.H.M, with an amplitude of 0.5 m and periodic time of second. The maximum value of force acting on the particle is:
25 N
5 N
2.5 N
0.5 N
A body is executing SHM. When the displacements from the mean position is 4 cm and 5 cm, the corresponding velocities are 10 cm/s and 8cm/s. Then the time period of the body is:
The displacement a of particle between maximum potential energy position and maximum kinetic energy position in simple harmonic motion is:
Two simple harmonic motions given by, act on a particle simultaneously, then the motion of particle will be
Circular anticlockwise
Circular clockwise
Elliptical anticlockwise
Elliptical clockwise
A simple pendulum with a bob of mass m oscillates from A to C and back to A [See Fig.] such that PB is H. If the acceleration due to gravity is g then the velocity of the bob as it passes through B is:
zero
2gH
mgH
The acceleration of a particle performing S.H.M. is 12 cm/sec2 at a distance of 4 cm from the mean position. The time period will be :
2.0 sec
3.14 sec
0.5 sec
1.0 sec
A particle is performing simple harmonic motion along the x axis with amplitude 4 cm and time period 1.2 sec. The minimum time taken by the particle to move from x = + 2 cm to x = + 4 cm and back again is:
0.4 s
0.3 s
0.2 s
0.6 s