A block of mass $m$ rests on a platform. The platform is given up and down $SHM$ with an amplitude $d$ . What can be the maximum frequency so that the block never leaves the platform
  • A$\sqrt {g/d} $
  • B$\frac{1}{{2\pi }}\sqrt {g/d} $
  • C$\frac{1}{{2\pi }}\left( {g/d} \right)$
  • D$2\pi \sqrt {d/g} $
Medium
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 in $S.H.M.$ is described by the displacement function $x(t) = a\cos (\omega t + \theta )$. If the initial $(t = 0)$ position of the particle is $1\, cm  $ and its initial velocity is $\pi \,cm/s$. The angular frequency of the particle is $\pi \,rad/s$, then it’s amplitude is
    View Solution
  • 2
    Values of the acceleration $A$ of a particle moving in simple harmonic motion as a function of its displacement $x$ are given in the table below. The period of the motion is

    $A (mm \,\,s^{-2}$)

     $16$

        $8$

    $0$

    $- 8$

    $- 16$

    $x\;(mm)$

    $- 4$

    $- 2$

    $0$

      $2$

       $4$

    View Solution
  • 3
    A particle moves on $x-$ axis according to the equation $x = x_0\,\,sin^2\,\omega t,$  the motion is simple harmonic
    View Solution
  • 4
    Two simple harmonic motions, as shown, are at right angles. They are combined to form Lissajous figures

    $x\left( t \right) = A\,\sin \,\left( {at + \delta } \right)$

    $y\left( t \right) = B\,\sin \,\left( {bt} \right)$

    Identify the correct match below

    View Solution
  • 5
    Figure shows the position-time graph of an object in $S.H.M.$ The correct equation representing this motion is ..........
    View Solution
  • 6
    Two oscillating systems; a simple pendulum and a vertical spring-mass-system have same time period of motion on the surface of the Earth. If both are taken to the moon, then-
    View Solution
  • 7
    The maximum speed of a particle executing $S.H.M.$ is $1\,m/s$ and its maximum acceleration is $1.57\,m/se{c^2}$. The time period of the particle will be .... $\sec$
    View Solution
  • 8
    The periodic time of a body executing simple harmonic motion is $3\, sec$. After how much interval from time $t = 0$, its displacement will be half of its amplitude ..... $\sec$
    View Solution
  • 9
    Find maximum amplitude for safe $SHM$ (block does not topple during $SHM$) of $a$ cubical block of side $'a'$ on a smooth horizontal floor as shown in figure (spring is massless)
    View Solution
  • 10
    lfa simple pendulum has significant amplitude (up to a factor of $1/e$ of original) only in the period between $t = 0\ s$ to $t = \tau \ s$, then $\tau$ may be called the average life of the pendulum. When the spherical bob of the pendulum suffers a retardation ( due to viscous drag) proportional to its velocity with $b$ as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds
    View Solution