What is the period of small oscillations of the block of mass $m$ if the springs are ideal and pulleys are massless ?
  • A$\frac{\pi }{2}\sqrt {\frac{m}{k}}$
  • B$\frac{\pi }{2}\sqrt {\frac{m}{2k}}$
  • C$\frac{\pi }{2}\sqrt {\frac{2m}{k}}$
  • D$\pi \sqrt {\frac{m}{{2k}}}$
Advanced
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
    Three mass and string system is in equilibrium. When $700\,gm$ mass is removed, then the system oscillates with a period of $3\,seconds$ . When the $500\,gm$ mass is also removed, then what will be new time period for system ..... $\sec$
    View Solution
  • 2
    The energy of a particle executing simple harmonic motion is given by $E = Ax^2 + Bv^2$, where $x$ is the displacement from mean position $x = 0$ and $v$ is the velocity of the particle at $x$ then choose the incorrect statement
    View Solution
  • 3
    A pendulum suspended from the ceiling of a train oscillates with a time period $2\,second$, when the train is accelerating at $10\,ms^{-2}$. What will be its time period when the train retards at $10\,ms^{-2}$ ? ..... $\sec$
    View Solution
  • 4
    The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of $\pi $ results in the displacement of the particle along
    View Solution
  • 5
    A particle of mass $m$ performs $SHM$ along a straight line with frequency $f$ and amplitude $A.$
    View Solution
  • 6
    A simple pendulum is set up in a trolley which moves to the right with an acceleration a on a horizontal plane. Then the thread of the pendulum in the mean position makes an angle $\theta $ with the vertical
    View Solution
  • 7
    The phase (at a time $t$) of a particle in simple harmonic motion tells
    View Solution
  • 8
    A particle executes $S.H.M.$ of amplitude A along $x$-axis. At $t =0$, the position of the particle is $x=\frac{A}{2}$ and it moves along positive $x$-axis the displacement of particle in time $t$ is $x=A \sin (\omega t+\delta)$, then the value $\delta$ will be
    View Solution
  • 9
    The amplitude and the time period in a $S.H.M.$ is $0.5 \,cm$ and $0.4 \,sec$ respectively. If the initial phase is $\pi /2$ radian, then the equation of $S.H.M.$ will be
    View Solution
  • 10
    A simple pendulum of mass $m$ executes $S.H.M.$ with total energy $E$. If at an instant it is at one of extreme positions, then its linear momentum after a phase shift of $\frac{\pi}{3} \,rad$ will be
    View Solution