Assertion : In SHM,acceleration is always dir | vedclass

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

Question

(A) $SHM$ is defined as a to-and-fro motion about a mean position. The restoring force,and consequently the acceleration,is always directed towards th

Vedclass · Accepted Answer

If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

Vedclass · Answer

(A) $SHM$ is defined as a to-and-fro motion about a mean position. The restoring force,and consequently the acceleration,is always directed towards the mean position to bring the body back. The acceleration in $SHM$ is given by $a = -\omega^2 x$,where $x$ is the displacement from the mean position. Since the negative sign indicates that the acceleration is always opposite to the direction of displacement,it is always directed towards the mean position. The reason provided correctly explains that the body must stop at the extreme position and return to the mean position due to this acceleration. Therefore,both statements are correct and the reason explains the assertion.

$Assertion :$ In $SHM$,acceleration is always directed towards the mean position.
$Reason :$ In $SHM$,the body has to stop momentarily at the extreme position and move back to the mean position.

Similar Questions

Where is maximum acceleration and zero acceleration of a particle executing $SHM$?

$A$ particle is executing simple harmonic motion with an amplitude of $0.1 \, m$. At a certain instant when its displacement is $0.02 \, m$,its acceleration is $0.5 \, m/s^2$. The maximum velocity of the particle is (in $m/s$):

If a particle is executing simple harmonic motion,then the acceleration of the particle:

Write the formula of instantaneous acceleration of $SHM$ particle along $X$-axis.

The variation of the acceleration $a$ of a particle executing $S.H.M.$ with displacement $x$ is as shown in the figure. Which of the following graphs correctly represents this relationship?

Vedclass Test Series

Exam Paper Generator

Online Exam Module

$Assertion :$ In $SHM$,acceleration is always directed towards the mean position.$Reason :$ In $SHM$,the body has to stop momentarily at the extreme position and move back to the mean position.