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 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
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
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 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
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
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 simple pendulum hangs from the ceiling of a car. If the car accelerates with uniform acceleration, the frequency of the simple pendulum will
increase
decrease
become infinite
remain constant
A body is executing SHM. When the displacements from the mean position is 4 cm and 5 cm, the corresponding velocities of the body is 10 cm/s and 8cm/s. Then the time period of the body is