Download App
A block of mass $m$ is attached to two springs of spring constants $k_1$ and $k_2$ as shown in figure. The block is displaced by $x$ towards right and released. The velocity of the block when it is at $x/2$ will be
  • A$\sqrt {\frac{{\left( {{k_1} + {k_2}} \right){x^2}}}{{2m}}} $
  • B$\sqrt {\frac{3}{4}\frac{{\left( {{k_1} + {k_2}} \right){x^2}}}{m}} $
  • C$\sqrt {\frac{{\left( {{k_1} + {k_2}} \right){x^2}}}{m}} $
  • D$\sqrt {\frac{{\left( {{k_1} + {k_2}} \right){x^2}}}{4m}} $
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.*
Download App

Similar Questions

  • 1
    A particle executes $SHM$ with amplitude of $20 \,cm$ and time period is $12\, sec$.  What is the minimum time required for it to move between two points $10\, cm$ on  either side of the mean position ..... $\sec$ ?
    View Solution
  • 2
    A disc of mass $m$ and radius $R$ is attached to celling with the help of ropes of length $l$. Find the time period of small oscillation of disc in the plane of disc.
    View Solution
  • 3
    A block of mass $m$ hangs from three springs having same spring constant $k$. If the mass is slightly displaced downwards, the time period of oscillation will be
    View Solution
  • 4
    When the displacement of a simple harmonic oscillator is one third of its amplitude, the ratio of total energy to the kinetic energy is $\frac{x}{8}$, where $x=$_____________.
    View Solution
  • 5
    An assembly of identical spring-mass systems is placed on a smooth horizontal surface as shown. At this instant, the springs are relaxed. The left mass is displaced to the/left and theiright mass is displaced to the right by same distance and released. The resulting collision is elastic. The time period of the oscillations of system is
    View Solution
  • 6
    A particle of mass $5 × 10^{-5}\ kg$ is placed at lowest point of smooth parabola $x^2 = 40y$ ( $x$ and $y$ in $m$ ). If it is displaced slightly such that it is constrained to move along parabola, angular frequency of oscillation (in $rad/s$) will be approximately:-
    View Solution
  • 7
    In the reported figure, two bodies $A$ and $B$ of masses $200\, {g}$ and $800\, {g}$ are attached with the system of springs. Springs are kept in a stretched position with some extension when the system is released. The horizontal surface is assumed to be frictionless. The angular frequency will be $.....\,{rad} / {s}$ when ${k}=20 \,{N} / {m} .$
    View Solution
  • 8
    Three simple harmonic motions of equal amplitudes $A$ and equal time periods in the same direction combine. The phase of the second motion is $60^o$ ahead of the first and the phase of the third motion is $60^o$ ahead of the second. Find the amplitude of the resultant motion
    View Solution
  • 9
    A simple pendulum suspended from the ceiling of a stationary lift has period $T_0$. When the lift descends at steady speed, the period is $T_1$, and when it descends with constant downward acceleration, the period is $T_2$. Which one of the following is true?
    View Solution
  • 10
    In a sinusoidal wave, the time required for a particular point to move from maximum displacement to zero displacement is $0.170\,$second. The frequency of the wave is .... $Hz$
    View Solution