Oscillations Te...

A block is placed on a frictionless horizontal table. The mass of the block is m and springs are attached on either side with force constants K₁. and K₂. If the block is displaced a little and left to oscillate, then the angular frequency of oscillation will be

A mass m = 100 g is attached at the end of a light spring which oscillates on a frictionless horizontal table with an amplitude equal to 0.16 metre and time period equal to 2 sec. Initially the mass is released from rest at t = 0 and displacement x = – 0.16 metre. The expression for the displacement of the mass at any time t is

A block of mass m, attached to a spring of spring constant k, oscillates on a smooth horizontal table. The other end of the spring is fixed to a wall. The block has a speed v when the spring is at its natural length. Before coming to an instantaneous rest, if the block moves a distance x from the mean position, then

The force constants of two springs are K₁ and K₂. Both are stretched till their elastic energies are equal. If the stretching forces are F₁ and F₂, then F₁ : F₂ is

A mass m is vertically suspended from a spring of negligible mass, the system oscillates with a frequency n. What will be the frequency of the system if a mass 4 m is suspended from the same spring

Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configuration (i), (ii) and (iii) are in the ratio

If a watch with a wound spring is taken on to the moon, it

Two springs have spring constants K_A and K_B and K_A > K_B. The work required to stretch them by same extension will be

The effective spring constant of two spring system as shown in figure will be

The scale of a spring balance reading from 0 to 10 kg is 0.25 m long. A body suspended from the balance oscillates vertically with a period of π/10 second. The mass suspended is (neglect the mass of the spring)