Negative sign shows the the restoring force and the displacement x increase in opposite directions. Where a is the acceleration of the system upwards. Restoring force on the mass is given by T' - mg = -ma.(3) Suppose the mass is displaced downwards by an amount x and then released.The new tension T' is now given by Where g is the acceleration due to gravity.įrom Hooke's law, T = ke where k is the spring constant and e is the extension produced in the spring by the mass m. The tension T in the spring is equal to the weight mg of the body.
