What is the maximum acceleration of the particle doing the $SHM$ $y = 2\sin \left[ {\frac{{\pi t}}{2} + \phi } \right]$ where $2$ is in $cm$
  • A$\frac{\pi }{2}\,cm/{s^2}$
  • B$\frac{{{\pi ^2}}}{2}\,cm/{s^2}$
  • C$\frac{\pi }{4}\,cm/{s^2}$
  • D$\frac{\pi }{4}\,cm/{s^2}$
Easy
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 point particle is acted upon by a restoring force $-k x^{3}$. The time-period of oscillation is $T$, when the amplitude is $A$. The time-period for an amplitude $2 A$ will be
    View Solution
  • 2
    A simple pendulum hanging from the ceiling of a stationary lift has a time period $T_1$. When the lift moves downward with constant velocity, the time period is $T_2$, then
    View Solution
  • 3
    In a simple harmonic oscillator, at the mean position
    View Solution
  • 4
    A particle is performing simple harmonic motion with amplitude A and angular velocity ${\omega }$. The ratio of maximum velocity to maximum acceleration is
    View Solution
  • 5
    A particle executing $SHM$ of amplitude $4\,cm$ and $T = 4s.$ The time taken by it to move from $+2\,cm$ to $+2\sqrt 3\,cm$ is
    View Solution
  • 6
    A particle executes $SHM$ on a straight line path. The amplitude of oscillation is $2\, cm.$ When the displacement of the particle from the mean position is $1\, cm,$ the numerical value of magnitude of acceleration is equal to the numerical value of magnitude of velocity. The frequency of $SHM$ (in $second^{-1}$) is :
    View Solution
  • 7
    A point particle is acted upon by a restoring force $-k x^{3}$. The time-period of oscillation is $T$, when the amplitude is $A$. The time-period for an amplitude $2 A$ will be
    View Solution
  • 8
    The piston in the cylinder head of locomotive has a stroke of $6\,m$ (which is twice the amplitude). If the piston executing simple harmonic motion with an angular frequency of $200\, rad\, min^{-1}$, its maximum speed is .... $ms^{-1}$
    View Solution
  • 9
    A solid cylinder of density $\rho_0$, cross-section area $A$ and length $l$ floats in a  liquid $\rho(> \rho_0)$ with its axis vertical, as shown. If it is slightly displaced downward  and released, the time period will be 
    View Solution
  • 10
    For a particle executing $S.H.M.,\, x =$ displacement from equilibrium position, $v =$ velocity at any instant and $a =$ acceleration at any instant, then
    View Solution