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
    Which of the following quantities are always negative in a $SHM$
    View Solution
  • 2
    The angular velocity and the amplitude of a simple pendulum is $\omega $ and $a$ respectively. At a displacement $X$ from the mean position if its kinetic energy is $T$ and potential energy is $V$, then the ratio of $T$ to $V$ is
    View Solution
  • 3
    In a sinusoidal wave, the time required for a particular point to move from maximum displacement to zero displacement is $0.170\,$second. The frequency of the wave is .... $Hz$
    View Solution
  • 4
    A particle is executing $S.H.M.$ with time period $T^{\prime}$. If time period of its total mechanical energy is $T$ then $\frac{T^{\prime}}{T}$ is ........
    View Solution
  • 5
    The instantaneous displacement of a simple pendulum oscillator is given by $x = A\cos \left( {\omega t + \frac{\pi }{4}} \right)$. Its speed will be maximum at time
    View Solution
  • 6
    A simple harmonic motion having an amplitude $A$ and time period $T$ is represented by the equation : $y = 5 \sin \pi (t + 4) m$

    Then the values of $A$ (in $m$) and $T$ (in $sec$) are :

    View Solution
  • 7
    The bob of simple pendulum having length $l$, is displaced from mean position to an angular position $\theta$ with respect to vertical. If it is released, then velocity of bob at lowest position
    View Solution
  • 8
    The displacement of a body executing $SHM$ is given by $x = A \sin (2\pi t + \pi /3).$ The first time from $t = 0$ when the velocity is maximum is .... $\sec$
    View Solution
  • 9
    A particle of mass $m$ is attached to one end of a mass-less spring of force constant $k$, lying on a frictionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its equilibrium position at time $t=0$ with an initial velocity $u_0$. When the speed of the particle is $0.5 u_0$, it collies elastically with a rigid wall. After this collision :

    $(A)$ the speed of the particle when it returns to its equilibrium position is $u_0$.

    $(B)$ the time at which the particle passes through the equilibrium position for the first time is $t=\pi \sqrt{\frac{ m }{ k }}$.

    $(C)$ the time at which the maximum compression of the spring occurs is $t =\frac{4 \pi}{3} \sqrt{\frac{ m }{ k }}$.

    $(D)$ the time at which the particle passes througout the equilibrium position for the second time is $t=\frac{5 \pi}{3} \sqrt{\frac{ m }{ k }}$.

    View Solution
  • 10
    The particle executing $SHM$ of amplitude $'a'$ has displacement $-\frac {a}{2}$ at $t = \frac {T}{4}$ and a positive velocity. Find the initial phase of particle
    View Solution