The maximum velocity of a particle performing | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The maximum velocity of a particle in $S.H.M.$ is given by $V = A\omega$,where $A$ is the amplitude and $\omega$ is the angular frequency.We know

Vedclass · Accepted Answer

$6V$

Vedclass · Answer

(D) The maximum velocity of a particle in $S.H.M.$ is given by $V = A\omega$,where $A$ is the amplitude and $\omega$ is the angular frequency.We know that $\omega = \frac{2\pi}{T}$,where $T$ is the periodic time.Given that the new periodic time $T' = \frac{1}{3}T$ and the new amplitude $A' = 2A$.The new angular frequency is $\omega' = \frac{2\pi}{T'} = \frac{2\pi}{\frac{1}{3}T} = 3 \left(\frac{2\pi}{T}ight) = 3\omega$.The new maximum velocity $V'$ is given by $V' = A'\omega'$.Substituting the values,$V' = (2A) 	imes (3\omega) = 6(A\omega) = 6V$.

The maximum velocity of a particle performing $S.H.M.$ is $V$. If the periodic time is made $\left(\frac{1}{3}\right)^{rd}$ of its original value and the amplitude is doubled,then the new maximum velocity of the particle will be:

Similar Questions

For a particle performing $S.H.M.$,which of the following statements is $INCORRECT$?

Two identical pendulums oscillate with a constant phase difference $\frac{\pi}{4}$ and same amplitude. If the maximum velocity of one is $v$,the maximum velocity of the other will be ........

$Assertion :$ For a particle performing $SHM$,its speed decreases as it goes away from the mean position.
$Reason :$ In $SHM$,the acceleration is always opposite to the velocity of the particle.

$A$ particle executes simple harmonic motion with an amplitude of $4 \, cm$. At the mean position,the velocity of the particle is $10 \, cm/s$. The distance of the particle from the mean position when its speed becomes $5 \, cm/s$ is

$A$ particle performs $S.H.M.$ with amplitude $A$. Its speed is tripled at the instant when it is at a distance of $\frac{2A}{3}$ from the mean position. The new amplitude of the motion is

Vedclass Test Series

Exam Paper Generator

Online Exam Module