Home
Class 11
PHYSICS
A particle performs simple harmonic miti...

A particle performs simple harmonic mition with amplitude A. Its speed is trebled at the instant that it is at a destance
`(2A)/3` from equilibrium position. The new amplitude of the motion is:

A

3A

B

`A sqrt(3)`

C

`(7 A)/(3)`

D

`(A)/(3) sqrt(41)`

Text Solution

Verified by Experts

The correct Answer is:
C
`v = omega sqrt(A^(2) - (( 2A)/(3))^(2))`
`v = sqrt(5) (A omega)/(3), v_("new") = 3v = sqrt(5) A omega `
So the new amplitude is given by
`v_("new") = omega sqrt(A_("new") ^(2)- x^(2)) rArr sqrt(5) A omega = omega sqrt(A_("new")^(2) - ((2A)/(3))^(2))`
`A_("new") = (7A)/(3)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A particle performs simple harmonic motion wit amplitude A. its speed is double at the instant when it is at distance (A)/(3) from equilibrium position. The new amplitude of the motion is

A particle performs simple harmonic motion with amplitude A. its speed is double at the instant when it is at distance (A)/(3) from equilibrium position. The new amplitude of the motion is (sqrt(33)A)/(beta) . Find beta

A particle executes simple harmonic motion of amplitude A. At what points is its speed half the maximum speed ?

A particle executes simple harmonic motion with frequqncy 2.5Hz and amplitude 2 m . The speed of the particle 0.3 s after crossing, the equilibrium position is

A particle performs simple harmonic motion with a period of 2 second. The time taken by the particle to cover a displacement equal to half of its amplitude from the mean position is 1/a s . The value of 'a' to the nearest integer is___________ .

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

A particle performs simple hormonic motion with a period of 2 seconds. The time taken by it to cover a displacement equal to half of its amplitude from the mea n position is

A particle executing harmonic motion is having velocities v_1 and v_2 at distances is x_1 and x_2 from the equilibrium position. The amplitude of the motion is

The velocity of a particle performing simple harmonic motion, when it passes through its mean position i