A particle of mass $10 \,g$ is undergoing $S.H.M.$ of amplitude $10 \,cm$ and period $0.1 \,s$. The maximum value of force on particle is about ............ $N$
Easy
Download our app for free and get started
(d)
$T=0.1$
$\omega=20 \pi \,rad / s$
Amplitude $A=0.1 \,m$
$a=-\omega^2 x$
Maximum acceleration $=-\omega^2 A$
Maximum force $=-m \omega^2 A$
$F_{\text {max }}=-0.01 \times(20 \pi)^2 \times 0.1$
$F_{\max }=-0.001 \times 400 \pi^2$
$=-3.95 \,N$
or $-4 \,N$ approximately
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The oscillation of a body on a smooth horizontal surface is represented by the equation $x= Acos$$\omega t$View Solution
where $x=$ displacement at time $t$
$\omega =$ frequency of oscillation
Which one of the following graphs shows correctly the variation $a$ with $t$ ?
Here $a=$ acceleration at time $t$
$T=$ time period
- 2A particle at the end of a spring executes simple harmonic motion with a period ${t_1}$, while the corresponding period for another spring is ${t_2}$. If the period of oscillation with the two springs in series is $T$, thenView Solution
- 3The force-deformation equation for a nonlinear spring fixed at one end is $F =4x^{1/ 2}$ , where $F$ is the force (expressed in newtons) applied at the other end and $x$ is the deformation expressed in metersView Solution
- 4A spring whose unstretched length is $\ell $ has a force constant $k$. The spring is cut into two pieces of unstretched lengths $\ell_1$ and $\ell_2$ where, $\ell_1 = n\ell_2$ and $n$ is an integer. The ratio $k_1/k_2$ of the corresponding force constants, $k_1$ and $k_2$ will beView Solution
- 5View SolutionA chimpanzee swinging on a swing in a sitting position, stands up suddenly, the time period will
- 6A particle starts simple harmonic motion from the mean position. Its amplitude is $a$ and total energy $E$. At one instant its kinetic energy is $3E/4.$ Its displacement at that instant isView Solution
- 7A particle is performing simple harmonic motion with amplitude A and angular velocity ${\omega }$. The ratio of maximum velocity to maximum acceleration isView Solution
- 8The length of a seconds pendulum at a height $h=2 R$ from earth surface will be.(Given: $R =$ Radius of earth and acceleration due to gravity at the surface of earth $g =\pi^{2}\,m / s ^{-2}$ )View Solution
- 9Two pendulums have time periods $T$ and $\frac{{5T}}{4}.$They start $S.H.M.$ at the same time from the mean position. What will be the phase difference between them after the bigger pendulum has complete one oscillation ..... $^o$View Solution
- 10A mass $m =100\, gms$ is attached at the end of a light spring which oscillates on a frictionless horizontal table with an amplitude equal to $0.16$ metre and time period equal to $2 \,sec$. Initially the mass is released from rest at $t = 0$ and displacement $x = - 0.16$ metre. The expression for the displacement of the mass at any time $t$ isView Solution