Assuming all pulleys, springs and string massless. Consider all surface smooth. Choose the correct statement $(s)$
  • AThe angular frequency for small oscillation of the system is $\sqrt \frac{K}{3m}$
  • BThe angular frequency for small oscillation of the system is $\sqrt \frac{4K}{33m}$
  • CThe elastic potential energy of system at equilibrium is $\frac{33m^2g^2}{4K}$
  • DThe elastic potential energy of system at equilibrium is $\frac{3m^2g^2}{2K}$
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
    A load of mass $m$ falls from a height $h$ on to the scale pan hung from the spring as shown in the figure. If the spring constant is $k$ and mass of the scale pan is zero and the mass $m$ does not bounce relative to the pan, then the amplitude of vibration is
    View Solution
  • 2
    The displacement of a particle moving in $S.H.M.$ at any instant is given by $y = a\sin \omega t$. The acceleration after time $t = \frac{T}{4}$ is (where $T$ is the time period)
    View Solution
  • 3
    A block of mass $m$ is at rest on an another block of same mass as shown in figure. Lower block is attached to the spring, then the maximum amplitude of motion so that both the block will remain in contact is
    View Solution
  • 4
    A brass cube of side $a$ and density $\rho$ is floating in mercury of density $\sigma$. If the cube is displaced a bit vertically, it executes $S.H.M.$ Its time period will be
    View Solution
  • 5
    A simple pendulum with iron bob has a time period $T$. The bob is now immersed in a non-viscous liquid and oscillated. If the density of liquid is $\frac{1}{12}$ th that of iron, then new time period will be
    View Solution
  • 6
    A small mass executes linear $SHM$ about $O$ with amplitude $a$ and period $T.$ Its displacement from $O$ at time $T/8$ after passing through $O$ is :
    View Solution
  • 7
    A simple pendulum of length $ l$ has a brass bob attached at its lower end. Its period is $T$. If a steel bob of same size, having density $ x$ times that of brass, replaces the brass bob and its length is changed so that period becomes $2T$, then new length is
    View Solution
  • 8
    The function $sin^2\,(\omega t)$ represents
    View Solution
  • 9
    Three simple harmonic motions in the same direction having the same amplitude a and same period are superposed. If each differs in phase from the next by ${45^o}$, then
    View Solution
  • 10
    In simple harmonic motion, the total mechanical energy of given system is E. If mass of oscillating particle $P$ is doubled then the new energy of the system for same amplitude is:
    View Solution