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JEE PHYSICS MCQ: OSCILLATIONS

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The total mechanical energy of a spring-mass system in simple harmonic motion is

E=\frac{1}{2} m \omega^2 A^2

. Suppose the oscillating particle is replaced by another particle of double the mass while the amplitude

A

remains the same. The new mechanical energy will

View answer and explanation

Correct option: D

remain

E

Option D (remain

E

) is correct because the total mechanical energy depends on the spring constant and amplitude, not the mass, when expressed in terms of

k

and

A

.

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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)