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
    If the metal bob of a simple pendulum is replaced by a wooden bob, then its time period will
    View Solution
  • 2
    A particle starts with $S.H.M.$ from the mean position as shown in the figure. Its amplitude is $A$ and its time period is $T$. At one time, its speed is half that of the maximum speed. What is this displacement?
    View Solution
  • 3
    In simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of
    View Solution
  • 4
    A particle executes a simple harmonic motion of time period $T$. Find the time taken by the particle to go directly from its mean position to half the amplitude
    View Solution
  • 5
    The total mechanical energy of a particle in $SHM$ is
    View Solution
  • 6
    A simple pendulum is hanging from a peg inserted in a vertical wall. Its bob is stretched in horizontal position from the wall and is left free to move. The bob hits on the wall the coefficient of restitution is $\frac{2}{{\sqrt 5 }}$. After how many collisions the amplitude of vibration will become less than $60°$
    View Solution
  • 7
    The amplitude of a damped oscillator decreases to $0.9\,times$ its original magnitude in $5\,s.$ In another $10\,s$ it will decrease to $\alpha $ times its original magnitude, where $\alpha $ equals
    View Solution
  • 8
    The length of the second pendulum on the surface of earth is $1\, m$. The length of seconds pendulum on the surface of moon, where g is 1/6th value of $g$ on the surface of earth, is
    View Solution
  • 9
    Two springs with negligible masses and force constant of $K_1 = 200\, Nm^{-1}$ and $K_2 = 160\, Nm^{-1}$ are attached to the block of mass $m = 10\, kg$ as shown in the figure. Initially the block is at rest, at the equilibrium position in which both springs are neither stretched nor compressed. At time $t = 0,$ a sharp impulse of $50\, Ns$ is given to the block with a hammer.
    View Solution
  • 10
    A particle is executing $SHM$ of amplitude $A,$ about the mean position $x = 0.$ Which of the following cannot be a possible phase difference between the positions of the particle at $x = +\,A/2$ and $x = - A/\sqrt {2} .$
    View Solution