If a particle under S.H.M. has time period 0.1 sec and amplitude $2 \times 10^{-3}$. It has maximum velocity
Easy
Download our app for free and get startedPlay store
(a)${v_{\max }} = a\omega = \frac{{a \times 2\pi }}{T} = \frac{{2 \times {{10}^{ - 3}} \times 2\pi }}{{0.1}} = \frac{\pi }{{25}}m/s$
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
    A particle is oscillating according to the equation $X = 7\cos 0.5\pi t$, where $t$ is in second. The point moves from the position of equilibrium to maximum displacement in time  ..... $\sec$
    View Solution
  • 2
    A particle has simple harmonic motion. The equation of its motion is $x = 5\sin \left( {4t - \frac{\pi }{6}} \right)$, where $x$ is its displacement. If the displacement of the particle is $3$ units, then it velocity is
    View Solution
  • 3
    A simple pendulum has time period $T$. The bob is given negative charge and surface below it is given positive charge. The new time period will be
    View Solution
  • 4
    Function $x$ = $A sin^2 wt + B cos^2 wt + C sin wt \  cos wt$ does not represents $SHM$ for this condition
    View Solution
  • 5
    A block is resting on a piston which executes simple harmonic motion with a period $2.0 \,s$. The maximum velocity of the piston, at an amplitude just sufficient for the block to separate from the piston is .......... $ms ^{-1}$
    View Solution
  • 6
    On the superposition of two harmonic oscillations represented by ${x_1} = a\,\sin \,\left( {\omega t + {\phi _1}} \right)$ and ${x_2} = a\,\sin \,\left( {\omega t + {\phi _2}} \right)$ a resulting oscillation with the same time period and amplitude is obtained. The value of ${\phi _1} - {\phi _2}$ is .... $^o$
    View Solution
  • 7
    Two 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
    View Solution
  • 8
    A $3\ kg$ sphere dropped through air has a terminal speed of $25\ m/s$. (Assume that the drag force is $-bv$.) Now suppose the sphere is attached to a spring of force constant $k = 300\ N/m$, and that it oscillates with an initial amplitude of $20\ cm$. What is the angular frequencu of its damped $SHM$? ..... $rad/s$
    View Solution
  • 9
    If $< E >$ and $< U >$  denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is
    View Solution
  • 10
    Acceleration of a particle, executing $SHM$, at it’s mean position is
    View Solution