Write the force law for $SHM$.
(N/A) In Simple Harmonic Motion $(SHM)$,the restoring force $F$ acting on a particle is directly proportional to its displacement $x$ from the equilibrium position and is always directed towards the equilibrium position.
Mathematically,this is expressed as:
$F = -kx$
Where:
$F$ is the restoring force.
$k$ is the force constant (or spring constant),which is a positive constant.
$x$ is the displacement from the mean position.
The negative sign indicates that the force is always in the direction opposite to the displacement.
Mathematically,this is expressed as:
$F = -kx$
Where:
$F$ is the restoring force.
$k$ is the force constant (or spring constant),which is a positive constant.
$x$ is the displacement from the mean position.
The negative sign indicates that the force is always in the direction opposite to the displacement.
Explore More
Similar Questions
$A$ particle vibrating simple harmonically has an acceleration of $16 \ cm/s^2$ when it is at a distance of $4 \ cm$ from the mean position. Its time period is: (in $s$)
MediumWBJEE 2016
View SolutionThe acceleration of a particle performing $S.H.M.$ at a distance of $3\;cm$ from the mean position is $12\;cm/s^2$. Its time period is ..... $s$.
Easy
View SolutionFor a particle executing simple harmonic motion,which of the following statements is not correct?
This is the position-time graph of a mass on a spring. What can you say about the velocity and force at the instant indicated by the dashed line? (Positive direction is to the right.)
Medium
View Solution$Assertion :$ 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.
$Reason :$ In $SHM$,the body has to stop momentarily at the extreme position and move back to the mean position.
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo