Home
Class 12
PHYSICS
A particle simultaneously participates i...

A particle simultaneously participates in two mutually perpendicular oscillations , x=2 sin `omega`t , y =2 cos `omega` t . The trajectory of motion will be

A

a straight line

B

a parabola

C

a circle

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C

Here the two mutually `boat` vibrations have phase diff. `pi//2` and amplitudes are equal
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • AIIMS 1998

    AIIMS PREVIOUS YEAR PAPERS|Exercise PHYSICS|60 Videos
  • AIIMS 2000

    AIIMS PREVIOUS YEAR PAPERS|Exercise PHYSICS|49 Videos

Similar Questions

Explore conceptually related problems

A particle simultaneously participates in two mutually perpendicular oscillations x = sin pi t & y = 2cos 2 pit . Write the equation of trajectory of the particle.

A point participates simultaneously in two harmonic oscillations of the same direction :x_(1) =a cos omega t and x_(2)=a cos 2 omega t. Find the maximum velocity of the point .

Knowledge Check

  • A particle isolated simultaneously by mutually perpendicular simple harmonic motion x = a cos omegat and y = a sin omegat . The trajectory of motion of the particle will be:

    A
    An ellipse
    B
    A parabola
    C
    A circle
    D
    A straight line
  • A particle is acted simultaneously by mutually perpendicular simple harmonic motions x=a cos omegat and y=asinomegat . The trajectory of motion of the particle will be

    A
    an ellipse
    B
    a parabola
    C
    a circle
    D
    a straight line.
  • A particle is acted simultaneously by mutually perpendicular simple hormonic motions x=acos omegat and y =asinomegat. The trajectory of motion of the particle will be

    A
    an ellipse
    B
    a parabola
    C
    a circle
    D
    a straight line
  • Similar Questions

    Explore conceptually related problems

    A particle is acted simultaneously by mutally perpendicular simple harmonic motion x=acosomegat and y=asinomegat . The trajectory of motion of the particle will be

    A particle is acted simultaneously by mutually perpendicular simple harmonic motion x = a cos omega t and y= a sin omega t . The frequency of motion of the particle will be

    A particule moves in x - y plane acording to rule x = a sin omega t and y = a cos omega t . The particle follows

    The SHM of a particle is given by the equation x=2 sin omega t + 4 cos omega t . Its amplitude of oscillation is

    The equation of displacement of a harmonic oscillator is x = 3sin omega t +4 cos omega t amplitude is