Home
Class 11
PHYSICS
A particle is acted simultaneously by mu...

A particle is acted simultaneously by mutually perpendicular simple harmonic 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

Text Solution

Verified by Experts

The correct Answer is:
C
Here ` x =a cos omegat, y = a sin omegat`
`therefore x^(2) + y^(2) = a^(2) [cos^(2) omegat + sin^(2)omegat]`
or `a^(2) = x^(2) + y^(2)`
This is the equation of a circle.
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise NCERT Exemplar Problems Subjective Question (Multiple Choice Questions (Type-II))|7 Videos

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise NCERT Exemplar Problems Subjective Question (Very short Answer Type Questions )|10 Videos

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise NCERT (Additional Exercises)|6 Videos

  • MOTION IN A STRAIGHT LINE

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|16 Videos

  • PHYSICAL WORLD

    MODERN PUBLICATION|Exercise Revision exercises (Long answer questions)|6 Videos

Similar Questions

Explore conceptually related problems

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

In simple harmonic motion,the particle is

A particel which is simultaneously subjected to two perpendicular simple harmonic motions represented by x=a_(1)cosomegat and y=a_(2)cos2omegat traces a curve given by :

Two simple harmonic motions y_1=Asinomegat and y_2=Acosomegat are supre imposed on a particle of mass m.