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
Two simple harmonic motions of angular frequency 100 and 1000 rad s-1 have the same displacement amplitude. The ratio of their maximum accelerations is:
1:10
1:102
1:103
1:104
A particle is subjected to two mutually perpendicular simple harmonic motions such that is x and y coordinates are given by :
The path of the particle will be
A straight line
A circle
An ellipse
A parabola
The time period of a simple pendulum is 2 s. If its length is increased by 4 times, then its period becomes:
16 s
12 s
8 s
4 s
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
The total energy of a body performing S.H.M. depends on:
k,a,m
k,a,x
k,a
k,x
A particle executes simple harmonic motion of amplitude A. At what distance from the mean position its kinetic energy is equal to its potential energy ?
0.51 A
0.61 A
0.71 A
0.81 A
Which one of the following statements is true for the speed v and the acceleration of a particle executing simple harmonic motion ?
when v is maximum,is maximum
Value ofis zero, whatever may be the value of v
When v is zero, is zero
When v is maximum, is zero
A point particle of mass 0.1 kg is executing S.H.M of amplitude 0.1 m. When the particle passes through the mean position, its K.E is 8 x 10-3 J. The equation of motion of this particle if its initial phase of oscillations is 45o is:
Two simple harmonic motions with the same frequency act on a particle at right angles ie, along X and Y-axis. If the two amplitudes are equal and the phase difference is , the resultant motion will be:
An ellipse with the major axis along y-axis
An ellipse with the major axis along x-axis
A straight line inclined at 45o to the x-axis
