A mass of 2.0 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes a simple harmonic motion. The spring constant is 200 N/m. What should be the minimum amplitude of the motion, so that the mass gets detached from the pan ?(Take g =10m/s2 )
8.0 cm
10.0 cm
Any value less than 12.0 cm
4.0 cm
A hollow sphere filled with water forms the bob of a simple pendulum. A small hole at the bottom of the bob allows the water to slowly flow out as it is set into small oscillations and its period of oscillations is measured. The time period will
increase
decrease
remain constant
first (a), then (b)
Frequency of a simple pendulum in a freely falling lift is
zero
infinite
finite
cannot say
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 particle executing S.H.M has amplitude 0.01 m and frequency 60 Hz. The maximum acceleration of the particle is
A simple pendulum with a bob of mass m oscillates from A to C and back to A [See Fig.25.26] such that PB is H. If the acceleration due to gravity is g then velocity of the bob as it passes through B is
2gH
mgH
A simple pendulum hangs from the ceiling of a car. If the car accelerates with uniform acceleration, the frequency of the simple pendulum will
become infinite
A simple pendulum is executing simple harmonic motion with a time period T. If the length of the pendulum is increased by 21%, the increase in the time period is
21%
10%
30%
50%
A body is executing S.H.M When its displacement from the mean position is 4 cm and 5 cm, the corresponding velocities are 10 cm/sec and 8cm/sec. Then time period of the body is
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