A body is executing Simple Harmonic Motion. At a displacement x its potential energy is and at a displacement y its potential energy is . The potential energy E at displacement is
(b)
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A body is executing Simple Harmonic Motion. At a displacement x its potential energy is and at a displacement y its potential energy is . The potential energy E at displacement is
(b)
The equation of motion of a particle is where K is positive constant. The time period of the motion is given by
(c) On comparing with standard equation we get
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 its oscillation is -
a) At mean position, the kinetic energy is maximum.
Hence
On putting the values we get
A pendulum has time period T. If it is taken on to another planet having acceleration due to gravity half and mass 9 times that of the earth then its time period on the other planet will be
(d)
A particle in SHM is described by the displacement equation position of the particle is 1 cm and its initial velocity is cm/s, what is its amplitude? (The angular frequency of the particle is )
(b) Given,
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
(d) and g is same in both cases so time period remains same.
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) , hence if l made 9 times, T becomes 3 times.
Also time period of simple pendulum does not depends on the mass of the bob.
The period of a simple pendulum measured inside a stationary lift is found to be T. If the lift starts accelerating upwards with acceleration of g/3 then the time period of the pendulum is
(c) For stationary lift
For ascending lift with acceleration a,
The time period of a simple pendulum of length L as measured in an elevator descending with acceleration is
(c) The effective acceleration in a lift descending with acceleration
If a body is released into a tunnel dug across the diameter of earth, it executes simple harmonic motion with time period
(a)
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