A particle of mass 1 kg executing S.H.M....

A particle of mass 1 kg executing S.H.M. is given by y = 2 cos `(10t+pi//3)` in SI units. Its maximum potential energy is

2 J

20 J

200 J

100 J

Text Solution

Verified by Experts

The correct Answer is:

`P.E.=(1)/(2)momega^(2)A^(2)`
`=(1)/(2)xx1xx100xx4=200J`

Topper's Solved these Questions

MHT-CET 2016
NIKITA PUBLICATION|Exercise COMMUNICATION SYSTEMS|1 Videos
QUESTION PAPER - MH-CET 2018
NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

The displacement of a particle of mass 100 g executing SHm is given by the equation y = 0.2 cos (100t+(pi)/(4)) meter. Its total energy is

A mass of 1 kg is executing SHM which is give by, x=6.0cos(100t+pi//4) cm. What is the maximum kinetic energy?

A particle of mass 4 kg is executing S.H.M. Its displacement is given by the equation Y=8 cos[100t+pi//4] cm. Its maximum kinetic energy is

The displacement of a particle of mass 3g executing simple harmonic motion is given by x =3sin (0.2t) in SI units. The kinetic energy of the particle at a point which is at a displacement equal to 1//3 of its amplitude from its mean position is

The displacement of a particle executing S.H.M. is given by, y = 0.20 sin (100 t) cm. The maximum speed of the particle is

The displacement of a particle executing S.H.M. is given by y = 0.25 sin 200t cm. The maximum speed of the particle is

If the displacement of a particle executing S.H.M. is given by x = 0.24 sin (400 t + 0.5)m, then the maximum velocity of the particle is

A body of mass 1 is executing simple harmonic motion. Its displacement y(cm) at t seconds is given by y = 6 sin (100t + pi//4) . Its maximum kinetic energy is

Maximum kinetic energy of a particle of mass 1 kg in SHM is 8 J. Time period of SHM is 4 s. Maximum potential energy during the motion is 10 J. Then

For a particle executing S.H.M., the kinetic energy K is given K = K_(0) cos ^(2)omega t . The maximum value of potential energy is:

NIKITA PUBLICATION-OSCILLATIONS -MCQ

The potential energy as a function of displacement for an oscillator u...
Text Solution
|
The displacement of a particle of mass 1 kg in S.H.M. is x = 2 sin (pi...
Text Solution
|
A particle of mass 1 kg executing S.H.M. is given by y = 2 cos (10t+pi...
Text Solution
|
If A is amplitude of a particle in SHM, its displacement from the mean...
Text Solution
|
For a simple harmonic oscillator moving along a straight line, the gra...
Text Solution
|
A particle is executing SHM. At a displacement y(1) its potential ener...
Text Solution
|
A particle executing SHM has a total energy E. Another particle of twi...
Text Solution
|
The potential energy of a particle executing SHM in its rest position ...
Text Solution
|
The displacement of a particle of mass 100 g executing SHm is given by...
Text Solution
|
The equation of the displacement of two particles making SHM are repre...
Text Solution
|
Two simple harmonic motions are given by y(1)=A(1)sinomegat andy(2)=...
Text Solution
|
The displacement of a particle performing S.H.M. is, x = 3 sin (314t) ...
Text Solution
|
The displacement of a particle performing S.H.M. is x = 3 sin (314 t) ...
Text Solution
|
If two particles performing SHM, are given by, x(1)=10 sin[3pi t +(...
Text Solution
|
The displacement of a harmonic oscillator is given by x=alpha sin omeg...
Text Solution
|
If the two particles performing S.H.M. with same amplitude and initial...
Text Solution
|
If the two particles performing S.H.M. with different initial phase an...
Text Solution
|
If the two particles performs S.H.M. of same initial phase angle but d...
Text Solution
|
The two particles performing S.H.M. have a phase difference of pi. If ...
Text Solution
|
The displacement of a particle performing S.H.M. is x = 0.1 sin (5pit)...
Text Solution
|