A particle is subjected to two mutually perpendicular simple harmonic motions such that is x and y coordinates are given byThe path of the particle will be
a straight line
a circle
an ellipse
a parabola
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
The acceleration of a particle in S.H.M. is
always constant
maximum at extreme positions
maximum at mean position
always zero
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 velocity of the bob as it passes through B is
zero
2gH
mgH
If a simple harmonic oscillator has got a displacement of 0.02 m and acceleration equal to 2.0m/s2 at any time, the angular frequency of the oscillator is equal to
10 rad/s
0.1 rad/s
100 rad/s
1 rad/s
A system exhibiting S.H.M. must possess
elasticity as well as inertia
elasticity only
inertia only
elasticity, inertia and external force
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
A spring has a certain mass suspended from it and its period of vertical oscillations is T. The spring is now cut into two halves and the same mass is suspended from one of the halves. The period of vertical oscillations is now
2 T
T/2
A mass m is suspended from a spring of negligible mass and the system oscillates with a frequency n. What will be the frequency of oscillations if a mass of 4 m is suspended from the same spring ?
2n
4n
A particle is executing S.H.M of amplitude 4 cm and T = 4 sec. The time taken by it to move from positive extreme position to half the amplitude is
1 sec
1/3 sec
2/3 sec
