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
Medium
Download our app for free and get started
Download our appand 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
- 1View SolutionIn S.H.M. maximum acceleration is at
- 2View SolutionA simple pendulum hangs from the ceiling of a car. If the car accelerates with a uniform acceleration, the frequency of the simple pendulum will
- 3A particle moves along a circle with a constant angular speed $\omega$ Its displacement,with respect to this position of the particle at time $t = 0$ is plotted against time. The graph would look likeView Solution
- 4Abody performs simple harmonic oscillations along the straight line $ABCDE$ with $C$ as the midpoint of $AE.$ Its kinetic energies at $B$ and $D$ are each one fourth of its maximum value. If $AE = 2R,$ the distance between $B$ and $D$ isView Solution
- 5A particle of mass $m$ undergoes oscillations about $x=0$ in a potential given by $V(x)-\frac{1}{2} k x^2-V_0 \cos \left(\frac{x}{a}\right)$, where $V_0, k, a$ are constants. If the amplitude of oscillation is much smaller than $a$, the time period is given byView Solution
- 6A vibratory motion is represented by $x = 2\,A\,\cos \,\omega t + A\,\cos \,\left( {\omega t + \frac{\pi }{2}} \right) + A\,\cos \,\left( {\omega t + \pi } \right) + \frac{A}{2}\,\cos \,\left( {\omega t + \frac{{3\pi }}{2}} \right)$ The resultant amplitude of motion isView Solution
- 7A ring is hung on a nail. It can oscillate, without slipping or sliding $(i)$ in its plane with a time period $T_{1}$ and, $(ii)$ back and forth in a direction perpendicular to its plane, with a period $T _{2}$. the ratio $\frac{ T _{1}}{ T _{2}}$ will beView Solution
- 8Which one of the following equations of motion represents simple harmonic motion ?View Solution
Where $k,k_0,k_1$ and $a$ are all positive
- 9View SolutionThe value of maximum possible amplitude in the case of forced oscillations when driving frequency is close to natural frequency is
- 10View SolutionThe graph shows the variation of displacement of a particle executing S.H.M. with time. We infer from this graph that
