Two springs are joined and connected to a mass m . If the spring force constants are `k_1` and `k_2` show that the frequency of oscillation of mass m is

For a body of mass m attached to the spring, the spring factor is given by (omega , the angular frequency)

A spring of force constnat K is cut into three equal parts. The force constant of each part will be

A spring has mass m suspended from it. What will happen to the frequency of oscillations if the spring is cut into two halves?

A block of mass m is attached to two unstrecthed of spring constant k_1 and k_2 as shown in the figure The block is displaced towards right through a distance x and is released. Find the speed of the block as it passes through the mean position shown.

A body of mass 10 kg at rest was moved by a constant force 50 N. Find the K.E. of the body at the end of 5 seconds.

A spring having with a spring constant 1200 N m^-1 is mounted on a horizontal table as shown in Fig. 14.24. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.Determine the frequency of oscillations,