If a simple pendulum oscillates with an amplitude of $50\, mm$ and time period of $2\, sec$, then its maximum velocity is .... $m/s$
AIIMS 1998, Easy
Download our app for free and get startedPlay store
(b) ${v_{\max }} = a\omega $

$= a \times \frac{{2\pi }}{T} $

$= (50 \times {10^{ - 3}}) \times \frac{{2\pi }}{2}$

$= 0.15\,m/s$

art

Download our app
and 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

  • 1
    The function ${\sin ^2}(\omega t)$ represents
    View Solution
  • 2
    Consider two identical cylinders [each of mass $m$ density $\rho _0$ horizontal cross-section area $s$] in equilibrium, partially submerged in two containers filled with liquids of densities $\rho_1$ and $\rho_2$ as shown in figure. Find the period of small oscillations of this system about its equilibrium. Neglect the changes in the level of liquids in the containers. Neglect mass of the strings. acceleration due to gravity is $g$ . ($v$ is volume of each block)
    View Solution
  • 3
    Two particles $A$ and $B$ of equal masses are suspended from two massless springs of spring constants $K _{1}$ and $K _{2}$ respectively.If the maximum velocities during oscillations are equal, the ratio of the amplitude of $A$ and $B$ is
    View Solution
  • 4
    The displacement time graph of a particle executing $S.H.M.$ is given in figure: (sketch is schematic and not to scale) Which of the following statements is are true for this motion?

    $(A)$ The force is zero $t=\frac{3 T}{4}$

    $(B)$ The acceleration is maximum at $t=T$

    $(C)$ The speed is maximum at $t =\frac{ T }{4}$

    $(D)$ The $P.E.$ is equal to $K.E.$ of the oscillation at $t=\frac{T}{2}$

    View Solution
  • 5
    A particle free to move along the $x-$axis has potential energy given by $U(x) = k[1 - \exp {( - x)^2}]$ for $ - \infty \le x \le + \infty $, where k is a positive constant of appropriate dimensions. Then
    View Solution
  • 6
    The kinetic energy of a particle executing $S.H.M.$ is $16\, J$ when it is at its mean position. If the mass of the particle is $0.32 \,kg$, then what is the maximum velocity of the particle ..... $m/s$
    View Solution
  • 7
    A particle executes $S.H.M.$ according to equation $x=10( cm ) \cos \left[2 \pi t+\frac{\pi}{2}\right]$, where $t$ is in second. The magnitude of the velocity of the particle at $t=\frac{1}{6} \,s$ will be .............. $cm / s$
    View Solution
  • 8
    Two particles are performing simple harmonic motion in a straight line about the same equilibrium point. The amplitude and time period for both particles are same and equal to $A$ and $T,$  respectively. At time $t=0$ one particle has displacement $A$ while the other one has displacement $\frac {-A}{2}$ and they are moving towards each other. If they cross each other at time $t,$ then $t$ is
    View Solution
  • 9
    $Assertion :$ In simple harmonic motion, the velocity is maximum when the acceleration is minimum.
    $Reason :$ Displacement and velocity of $S.H.M.$ differ in phase by $\frac{\pi }{2}$
    View Solution
  • 10
    As a body performs $S.H.M.$, its potential energy $U.$ varies with time as indicated in
    View Solution