A particle executing simple harmonic motion of amplitude 5 cm has a maximum speed of 31.4 cm/s. The frequency of its oscillation will be:
4 Hz
2 Hz
1 Hz
The frequency of a simple pendulum in a freely falling lift will be :
Zero
Infinite
Finite
Cannot say
The displacement x (in metres) of a particle performing S.H.M is related to time t (in second) as :
0.5 Hz
1.0 Hz
1.5 Hz
2.0 Hz
A body is vibrating in S.H.M. with an amplitude of 0.06 m and frequency of 15 Hz. The maximum velocity and acceleration of the body are:
5.65 m/s, 5.32 x 102 m/s2
6.82 m/s, 7.62 x 102 m/s2
8.91 m/s, 8.21 x 102 m/s2
9.82 m/s, 9.03 x 102 m/s2
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 body of mass 5 kg hangs from a spring and oscillates with a time period of 2 seconds. If the body is removed, the length of the spring will decrease by :
2 metres
g metres
g/k metres
k/g metres
The S.H.M. of a particle is given by the equation . The amplitude of motion is
7
12
1
5
A particle moves such that its acceleration a is given by a = -bx where x is the displacement from equilibrium position and b is a constant. The period of oscillations is:
The potential energy of a simple harmonic oscillator when the particle is half way to its end point is:
A particle of mass m oscillates with simple harmonic motion between points x1 and x2 the equilibrium position being O. Its potential energy is plotted. It will be as given below in the graph: