Home
Class 11
PHYSICS
A particle is vibrating in a simple h...

A particle is vibrating in a simple harmonic motion with an amplitude of 4 cm . At what displacement from the equilibrium position, is its energy half potential and half kinetic

A

1 cm

B

`sqrt(2)` cm

C

3 cm

D

`2sqrt(2)` cm

Text Solution

Verified by Experts

The correct Answer is:
D
`U=K " or "U=(E)/(2)`
`therefore (1)/(2)Kx^(2)=(1)/(2)((1)/(2)KA^(2))`
i.e., at `x=+-(A)/(sqrt(2)),U=K`
and this situation will occur for four times in one complete period.
Promotional Banner

Similar Questions

Explore conceptually related problems

A particle executes simple harmonic motion with an amplitude 9 cm. At what displacement from the mean position, energy is half kinetic and half potential ?

A particle executes simple harmonic motion with an amplitude of 10 cm. At what distance from the mean position are the kinetic and potential energies equal?

A particle is performing SHM with amplitude 2 cm. At what distance from the equilibrium position is its energy half potential ? What is the maximum velocity of the particle if the frequency of its oscillation is 50 Hz.

A particle is executing SHM of amplitude A. at what displacement from the mean postion is the energy half kinetic and half potential?

A particle executes simple harmonic motion of ampliltude A. At what distance from the mean position is its kinetic energy equal to its potential energy?

A particle executes simple harmonic motion of amplitude A. (i) At what distance from the mean positio is its kinetic energy equal to its potential energy? (ii) At what points is its speed half the maximum speed?

A particle executes simple harmonic motion of amplitude A (i) At what distance from the extreme positino is its kinetic energy equal to half its potential energy ? (ii) At what position from the extreme position is its speed half the maximum speed.

A particle is executing simple harmonic motion with an amplitude A and time period T. The displacement of the particles after 2T period from its initial position is