Back to OSCILLATIONS

JEE PHYSICS MCQ: OSCILLATIONS

1 Medium

1 of 1

Application +4 | -1

The Displacement of a particle varies with time as

x=12 \sin \omega t-16 \sin ^3 \omega t

(in

\mathrm{cm}

). if its motion is S.H.M, Then its maximum accelaration is

View answer and explanation

Correct option: B

36 \omega^2

Option B (

36 \omega^2

) is correct because the displacement equation can be simplified to

x = 4\sin(3\omega t)

, and the maximum acceleration is

A\omega^2

where

A

is the amplitude and

\omega

is the angular frequency.

More Questions from OSCILLATIONS

Practice All Chapter MCQs →

Assertion: A particle executing simple harmonic motion comes to rest at the extreme positions.

Reason: The resultant force on the particle is zero at these positions. A particle is subjected simultaneously to two SHM’s one along the

x

-axis and the other along the

y

-axis. The two vibrations are in phase and have unequal amplitudes. The particle will execute A particle is executing SHM with amplitude

a

. When the PE of a particle is one-fourth of its maximum value during the oscillation, its displacement from the equilibrium position will be The displacement, velocity and acceleration in a simple harmonic motion are related as the Assertion: Angular velocity of earth around sun is lesser than the angular velocity of moon about earth.
Reason: Time taken by moon revolve around earth is less than time taken by earth to revolve around sun. A particle is executing

SHM

. At a displacement

{y_1}

its potential energy is

{U_1}

and at a displacement

{y_2}

its potential energy is

{U_2}

. The potential energy of the particle at displacement

\left( {{y_1} + {y_2}} \right)