Oscillations Te...

If a simple pendulum is taken to place where g decrease by 2%, then the time period

A mass M is suspended by two springs which are connected in series as shown in the Figure. If the spring constants are k₁ and k₂, then time period of vertical vibration is

An object suspended from a spring exhibits oscillations of period T. Now the spring is cut in two halves and the same object is suspended with two halves as shown in fig. The new time period of oscillation will become

Two blocks with masses m₁ = 1 kg and m₂ = 2 kg are connected by a spring of spring constant k = 24 N/m and placed on a frictionless horizontal surface. The block m₁ is imparted an initial velocity v₀ = 12 cm/s to the right, the amplitude of oscillation is

Particle of mass m is executing oscillations about the origin on the x – axis with amplitude A. its P.E. is given as U_(x) = a x⁴, where α is positive constant. The x – coordinate of mass where potential energy is one third of the K.E. of particle, is

For a simple pendulum the graph between g and T² will be

If a simple pendulum is taken to a place where g decrease by 2%, then the time period

A tunnel is made across the earth of radius R, passing through its centre. A ball is dropped from a height h in the tunnel. The motion will be periodic with time period.

A and B are fixed points and the mass M is tied by straight at A and B. If the mass M is displaced slightly out of this plane and released, it will execute oscillation with period
(Given AM = BM = L, AB = 2d)