1. Engineering
  2. Mechanical Engineering
  3. 5 a machine weighing 50 kg is mounted on a...

Question: 5 a machine weighing 50 kg is mounted on a...

Question details

5. A machine weighing 50 kg is mounted on a supporting system consisting of four springs and four dampers. The vertical deflection of the supporting system under the weight of the machine is measured as 5 mm. Assuming that the initial conditions for free vibration are uo # 0 and Vo= 0, The dampers are designed to reduce the amplitude of vertical vibration to one-eighth of the initial amplitude after two complete cycles of free vibration. Find the following properties of the system: (a) undamped natural frequency, (b) damping factor, and (c) damped natural frequency. For the current value of damping ratio, comment whether the system is underdamped, critically damped or overdamped

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution