You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Periodic Motion

Two linear si...

Question

Two linear simple harmonic motions of equal amplitude and frequency are
impressed on a particle along x and y-axis respectively. The initial phase difference between them is $\frac{π}{2}$ . The resultant path followed by the particle is :

a circle

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

a straight line

No worries! We‘ve got your back. Try BYJU‘S free classes today!

an ellipse

No worries! We‘ve got your back. Try BYJU‘S free classes today!

a parabola

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D a circle
As one is along x- direction and the other along y.
Because of initial phase difference $\frac{π}{2}$ it remains same throughout the motion which happens when it travels along a circle.

Suggest Corrections

Similar questions

Q. Two linear SHM of equal amplitudes A and frequencies

ω

and

2 ω

are impressed on a particle along x and y-axes respectively. If the initial phase difference between them is

π / 2

. Find the resultant path followed by the particle.

Q. Two particle are executing simple harmonic motion of the same amplitude

A

and frequency

ω

along the

x -

axis. Their mean position is separated by distance

X_{o} (X_{o} > A)

. If the maximum separation between them is

(X_{o} + A)

, the phase difference between their motion is

Q. Two particles are executing simple harmonic motion of the same amplitude A and frequency

ω

along the x-axis. Their mean position is separated by distance

X_{0} (X_{0} > A)

. If the maximum separation between them is (

X_{0} + A

), the phase difference between their motion is:

A particle is subjected to two simple harmonic motions in the same direction having equal amplitudes and equal frequency. If the resultant amplitude is equal to the amplitude of the individual motions, find the phase difference between the individual motions.

Q. A particle is subjected to two simple harmonic motion along

x

and

y

directions, according to equation

x = 3 sin 100 π t; y = 4 sin 100 π t

. Then,

Join BYJU'S Learning Program

Two linear simple harmonic motions of equal amplitude and frequency areimpressed on a particle along x and y-axis respectively. The initial phase difference between them is π2. The resultant path followed by the particle is :

The correct option is D a circleAs one is along x- direction and the other along y.Because of initial phase difference π2 it remains same throughout the motion which happens when it travels along a circle.

Two linear simple harmonic motions of equal amplitude and frequency are
impressed on a particle along x and y-axis respectively. The initial phase difference between them is $\frac{π}{2}$ . The resultant path followed by the particle is :

The correct option is D a circle
As one is along x- direction and the other along y.
Because of initial phase difference $\frac{π}{2}$ it remains same throughout the motion which happens when it travels along a circle.