Two identical springs of spring constant $k$ are attached to a block of mass $m$ and to fixed supports as shown in the figure. When the mass is displaced from the equilibrium position by a distance $x$ towards the right,find the restoring force.
(N/A) According to the figure,the block is displaced to the right side by a distance $x$.
The right spring gets compressed by $x$,developing a restoring force $kx$ towards the left on the block.
The left spring is stretched by an amount $x$,developing a restoring force $kx$ towards the left on the block.
Hence,the total restoring force $F$ towards the left on the block is:
$F = kx + kx$
$\therefore F = 2kx$
The right spring gets compressed by $x$,developing a restoring force $kx$ towards the left on the block.
The left spring is stretched by an amount $x$,developing a restoring force $kx$ towards the left on the block.
Hence,the total restoring force $F$ towards the left on the block is:
$F = kx + kx$
$\therefore F = 2kx$
Explore More
Similar Questions
$A$ mass $m$ is attached to two springs of same force constant $K$,as shown in the following four arrangements. If $T_1, T_2, T_3$ and $T_4$ are the time periods of oscillation in the respective arrangements,in which case is the time period maximum?
Easy
View Solution$A$ spring stretches by $2 \text{ mm}$ when it is loaded with a mass of $200 \text{ g}$. From the equilibrium position, the mass is further pulled down by $2 \text{ mm}$ and released. The frequency associated with the system and the maximum energy in the spring are . . . . . . $\text{Hz}$ and . . . . . . $\text{J}$, respectively. (Take $g = 10 \text{ m/s}^2$)
DifficultJEE MAIN 2026
View SolutionHow does the period of oscillation depend on the mass of the block attached to the end of a spring?
Easy
View SolutionTwo masses $m_1$ and $m_2$ connected by a spring of spring constant $k$ rest on a frictionless surface. If the masses are pulled apart and let go,the time period of oscillation is
DifficultKVPY 2010
View Solution$A$ spring is stretched by $0.40 \ m$ when a mass of $0.6 \ kg$ is suspended from it. The period of oscillations of the spring loaded by $255 \ g$ and put to oscillations is close to $(g = 10 \ m \ s^{-2})$. (in $s$)
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