The 3-kg body is at rest at the equilibrium position shown in the figure below. At time t=0 the 3-kg body is given an in

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The 3 Kg Body Is At Rest At The Equilibrium Position Shown In The Figure Below At Time T 0 The 3 Kg Body Is Given An In 1 (32.2 KiB) Viewed 22 times

The 3-kg body is at rest at the equilibrium position shown in the figure below. At time t=0 the 3-kg body is given an initial velocity X* (0)= 5 m/s downward from the equilibrium position: 1. Draw a free body diagram of the 3-kg body. (1 mark) < (1 mark) 2. Compute the damping ratio . 3. Derive the differential equation of motion of the system. (1 mark) (1.5 marks) 4. write the solution of the differential equation of motion. Determine the displacement of the 3-kg at time t=2 sec. 5. (5.5 marks)< k = 108 N/m c = 18 N-s/m J J J J F m = 3 kg 2