Oscillations Te...

A mass M is attached to a horizontal spring of force constant k fixed one side to a rigid support as shown in Fig. The mass oscillates on a frictionless surface with time period T and amplitude A. when the mass is in equilibrium position, another mass m is gently placed on it. What will be the new amplitude of oscillations?

One end of a long metallic wire of length L is tied to the ceiling. The other end is tied to massless spring of spring constant k. A mass m hangs freely from the free end of the spring. The area of cross – section and Young’s modulus of the wire are A and Y respectively. If the mass is slightly pulled down and released, it will oscillate with a time period T

A simple pendulum has a length l cm. Mass of the bob is m gram. The bob is given a charge of + q stat coulomb. The pendulum is suspended between the plates of a charged parallel plates capacitor. If E is the electric intensity between the plates as shown in the Fig. the time period T of the vibration is

A simple pendulum has a bob suspended by an unextensible thread of length 1 metre from a point P. As he bob reaches one extreme position, the thread is caught by a peg at a point Q distant 0.25 m from P, and the bob begins to oscillate in the new position. The change in frequency of oscillation of the pendulum in Hz is nearly (take g = 10 m/s²)

The bob of a pendulum, is attached to a horizontal spring of spring constant k. the pendulum will undergo SHM with period

In a spring block system length of the spring is reduced by 2%, the time period will

Density of a liquid varies with depth as ρ = αh. A small ball of density ρ₀ is released from the free surface of the liquid. Then