JEE PHYSICS MCQ: OSCILLATIONS

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Application +4 | -1

A mass

m

attached to a spring of spring constant

k

is stretched a distance

x_0

from its equilibrium position and released with no initial velocity. The maximum speed attained by the mass in its subsequent motion and the time at which this speed would be attained are respectively,

View answer and explanation

Correct option: C

\sqrt{\frac{k}{m}} x_0 \cdot \frac{\pi}{2} \sqrt{\frac{m}{k}}

Option C (

\sqrt{\frac{k}{m}} x_0 \cdot \frac{\pi}{2} \sqrt{\frac{m}{k}}

) is correct because the maximum speed is achieved at the mean position and the time to reach the mean position from the extreme is T/4.

More Questions from OSCILLATIONS

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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)