Oscillations Te...

Length of a simple pendulum is l and its maximum angular displacement is θ, then its maximum K.E. is

The height of a swing changes during its motion from 0.1 m to 2.5 m. The minimum velocity of a boy who swings in this swing is

The amplitude of an oscillating simple pendulum is 10 cm and its period is 4 s. Its speed after 1 s after it passes its equilibrium position, is

A pendulum of length 2 m lift at P. When it reaches Q, it losses 10% of its total energy due to air resistance. The velocity at Q is

The periodic time of a simple pendulum of length 1 m and amplitude 2 cm is 5 seconds. If the amplitude is made 4 cm, its periodic time in seconds will be

The ratio of frequencies of two pendulums are 2 : 3, then their length are in ratio

A simple pendulum hanging from the ceiling of a stationary lift has a time period T₁. When the lift moves downward with constant velocity, the time period is T₂, then

If the length of a pendulum is made 9 times and mass of the bob is made 4 times then the value of time period becomes

A simple pendulum is suspended from the ceiling of a stationary elevator and its period of oscillation is T. The elevator is then set into motion and the new time period is found to be longer. Then the elevator is

A pendulum bob of mass m is hanging from a fixed point by a light thread of length l. A horizontal speed v₀ is imparted to the bob so that it takes up horizontal position. If g is the acceleration due to gravity, then v₀ is