Physics Oscillations

When a particle executes SHM, the nature of graphical representation of velocity as a function of

In the given figure, a body of mass M is held between two massless springs, on a smooth inclined plane. The free ends of the springs are attached to firm supports. If each spring has spring constant k, the frequency of oscillation of given body is:

The potential energy (U) of a diatomic molecule is a function dependent on r (interatomic distance) as $U=\frac{\alpha }{r^{10}}-\frac{\beta }{r^5}-3$

Where, and are positive constants. The equilibrium between two atoms will be ${\left(\frac{2\alpha }{\beta }\right)}^{\frac{a}{b}},$ ${\frac{}{}}^{\frac{}{}}$ where a =……………. 

If the time period of a two meter long simple pendulum is 2s, the acceleration due to gravity at the place where pendulum is executing S.H.M. is:

Two identical springs of spring constant '2k' are attached to a block of mass m and to fixed support (see figure). When the mass is displaced from equilibrium position on either side, it executes simple harmonic motion. The time period of oscillations of this system is

Y = A sin $\left(\omega t+{?}_0\right)$ is the time-displacement equation of a SHM. At t = 0 the displacement of the particle is y = $\frac{A}{2}$ and it moving along negative x-direction. Then the initial phase angle ${?}_0$ will be

The point A moves with a uniform speed along the circumference of a circle of radius 0.36m  and covers 30°  in 0.1s. The perpendicular projection 'P' from 'A' n the diameter MN represents the simple harmonic motion of 'P'. The restoration force per unit mass when P touches M will be

If the mass of the bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is $\frac{x}{2}$ times its original time period. Then the value of $x$  is:

A bob is whirled in a horizontal plane by means of a string with an initial speed of $\omega rpm$ . The tension in the string is $T$ . If speed becomes $2\omega$  while keeping the same radius, the tension in the string becomes:

At what displacement is the energy of a simple harmonic oscillation half kinetic and half potential?