A particle executes linear simple harmon...

A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then find its time period in seconds.

`sqrt5/(2pi)`

`(4pi)/sqrt5`

`(2pi)/sqrt3`

`sqrt5/pi`

Text Solution

Verified by Experts

Topper's Solved these Questions

MOTION OF SYSTEM OF PARTICLES AND RIGID BODY
SARAS PUBLICATION|Exercise EXAMPLE |35 Videos
PHYSICAL WORLD AND MEASUREMENT
SARAS PUBLICATION|Exercise EXAMPLE|12 Videos

Similar Questions

Explore conceptually related problems

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 executes a simple harmonic motion of time period T. Find the time taken by the particle to go directly from its mean position to half the amplitude.

A particle of mass 40 g executes a simple harmonic motion of amplitude 2.0 cm. If the time period is 0.20 s, find the total mechanical energy of the system.

A particle executes simple harmonic motion with a frequency. (f). The frequency with which its kinetic energy oscillates is.

A particle executes simple harmonic motion with an amplitude of 10 cm and time period 6s. At t=0 it is at position x=5 cm going towards positive x-direction. Write the equation for the displacement x at time t. Find the magnitude of the acceleration of the particle at t=4s.

A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is…………….

A body describes simple harmonic motion with an amplitude of 5 cm and a period of 0.2s. Find the acceleration and velocity of the body when the displacement is 5 cm.

A particle executes a simple harmonic motion of amplitude 1.0 cm along the principal axis of a convex lens of focal length 12 cm. The mean position of oscillation is at 20 cm from the lens. Find the amplitude of oscillation of the image of the particle.

SARAS PUBLICATION-OSCILLATIONS AND WAVES-EXAMPLE

The oscillation of a body on a smooth horizontal surface is represente...
Text Solution
|
A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate abou...
Text Solution
|
If n1, n2 and n3 are the fundamental frequency of three segemnts into ...
Text Solution
|
The number of possible natural oscillations of air column in a pipe cl...
Text Solution
|
When two displacement represented by y1 = a sin t (omegat) and y2 = b ...
Text Solution
|
For a parallel beam of monochromatic light of wavelength lambda diffra...
Text Solution
|
The fundamental frequency of a closes organ pipe of length 20 cm is eq...
Text Solution
|
A particle is executing SHM along a straight line. Its velocities at d...
Text Solution
|
Two similar springs p and Q have spring constants Kp and kQ, such that...
Text Solution
|
In the spectrum of hydrogen, the ratio of the longest wavelength in th...
Text Solution
|
A partcile is executing a simple harmonic motion.Its maximum accelerat...
Text Solution
|
A source od sound S emitting waves of frequency 100 Hz and an observer...
Text Solution
|
A string is stretched between fixed points separated by 75.0 cm. It is...
Text Solution
|
A body of mass m is attached to lower end of a spring whose upper end ...
Text Solution
|
The second overtone of an open organ pipe has the same frequency as th...
Text Solution
|
Three sound waves of equal amplitudes have frequencies (n-1), n, (n + ...
Text Solution
|
A siren emitting a sound of frequency 800 Hz moves away from an observ...
Text Solution
|
An air column, closed at one end and open at the other resonates with ...
Text Solution
|
The two nearest harmonics of a tube closed at one end and open at othe...
Text Solution
|
A particle executes linear simple harmonic motion with an amplitude of...
Text Solution
|