Oscillations Te...

A block (B) is attached to two unstretched springs S₁, and S₂ with spring constants k and 4 k, respectively (see figure I). The other ends are attached to identical supports M₁ and M₂ not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance x (figure II) and released. The block returns and moves a maximum distance y towards wall 2. Displacement x and y are measured with respect to the equilibrium position of the block B. The ratio y/x is

Two masses m₁ and m₂ are suspended together by a massless spring of constant K. When the masses are in equilibrium, m₁ is removed without disturbing the system. The amplitude of oscillations is

A body of mass 20 g connected to spring of constant K executes simple harmonic motion with a frequency of (5/π)Hz. The value of spring constant is

A mass of 10 kg is suspended from a spring balance. It is pulled aside by a horizontal string so that it makes an angle of 60° with the vertical. The new reading of the balance is

An electric motor of mass 40 kg is mounted on four vertical spring each having constant of 4000 Nm^–1. The period with which the motor vibrates vertically is

A mass of 4 kg suspended from a spring of force constant 800 Nm^–1 executes simple harmonic oscillations. If the total energy of the oscillator is 4 J, the maximum acceleration (in ms^–2) of the mass is

A body of mass 4.9 kg hangs from a spring and oscillates with a period 0.5 s. On the removal of the body, the spring is shortened by (Take g = 10 ms^–2 , π² = 10)

If two springs A and B with spring constants 2k and k, are stretched separately by same suspended weight, then the ratio between the work done in stretching A and B is

Time period of a mass m suspended by a spring is T. If the spring is cut to one-half and made to oscillate by suspending double mass, the time period of the mass will be