(a) A mass of 1 kg is to be supported on a spring having a stiffness of 9800N/m. The damping coefficient is 5.9 N-sec/m. Calculate the natural frequency of the system. Determine also the logarithmic decrement and the amplitude after 3 cycles if the initial displacement is 0.3 cm.
(b) A body of mass M=1kg, lies on a dry horizontal plane and is connected by a spring to a rigid support. The body is displaced from the unstressed position by an amount same to 0.25 m with the tension in the spring at this displacement equal to 5 kg, and then released with zero velocity. How long will the body vibrate and at what distance from the unstressed position will it stop if the coefficient of friction is 0.25.