An electric motor is mounted on a steel table. The deflection of the table under the weight motor is observed to be 4 mm. the mass of the motor added to the effective mass of the table is 50 kg. The rotating parts of the motor have a mass of 10 kg and have an eccentricity of 12 mm. During free vibration, it is observed that the displacement of 40 mm is reduced to 2 mm in 1 second. Find the amplitude of motion if the operating speed of the motor is 1750 rpm. Assume the uing is viscous.

An undamped simple harmonic oscillator has mass 2.0 kg and spring constant 50 N/m. The initial displacement from equilibrium (at time t = 0) is 0.30 m and the initial velocity is 2.0 m/s. 2. From the initial conditions, determine the energy of the oscillator. Next, use the value of the energy to determine both the displacement and velocity amplitudes. Determine and display the displacement in the form x(t) = Ccos(@ot + q), where C is in meters and o is in radians.

Please solve this problem by showing the manual calculation and choose the correct answer(SUBJECT: mechanical vibrations)

A single cylinder engine can be treated as a rotating unbalance model where the mass of the piston, m, acts at an eccentric distance, e which is half of the stroke. Determine the displacement amplitude of the engine in millimetres when it is rotating at a speed of 344.4 rpm. The engine parameters are: Mass of engine, M = 447.8 kg; keq = 220.3 kN/m; ceq = 2843.2 Ns/m; m = 10.6 kg and Stroke (i.e. 2e) = 236 mm. Give your answer to 2 dp. Answer: