The masses `m_1` and `m_2` together are suspended from a massless spring of constant k. When masses are in equilibrium, `m_2` is removed without disturbing the system. Find the amplitude of oscillation and angular frequency of `m_1`

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

Two bodies with masses m_1 and m_2 , (m_1>m_2) are joined by a massless string passing over a fixed pulley.The downward acceleration of mass m_1 is :

A vessel filled with water is kept on weighing pan and the scale is adjusted to zero. A block of mass M and density rho is suspended by a massless spring of spring constant K. This block is ubmerged inside into the water in the vessel. What is the reading of the scale?

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

A body of mass m is attached to one end of a massless spring which is suspended vertically from a fixed point. The mass is held in hand so that the spring is neither stretched nor compressed. Suddenly the support of the hand is removed. The lowest position attained by the mass during oscillation is 4 cm below the point, where it held in hand. Find the frequency of oscillation?

A body of mass m is attached to one end of a massless spring which is suspended vertically from a fixed point. The mass is held in hand so that the spring is neither stretched nor compressed. Suddenly the support of the hand is removed. The lowest position attained by the mass during oscillation is 4 cm below the point, where it held in hand. What is the amplitude of oscillation?

Two bodies of masses m_1 and m_2 are connected byh a ight string passing over a smooth light pulley fixed at the end of an inclined plane.the mass m_1 lies on the inclined plne nd m_2 bags vertically.The system is at rest.Find the angle of the inclination of the inclined plane and the force exerted by the inclined plane on the body of mass m_1 .

A wire of mass 9.8*10^(-3) kg per metre passes over a friction less pulley fixed on the top of an inclined friction less plane which makes an angle of 30^@ with the horizontal. Masses M_(1) and M_(2) are tied at the two end of the wire. The mass M_(1) rests on the plane and the mass M_(2) hangs vertically downward. The whole system is in equilibrium. Now a transverse wave propagates along the wire with a velocity of 100ms^(-1) . Find the values of masses M_(1) and M_(2) . Take g= 9.8ms^(-2) .