1. A uniform rod of mass m is supported by a pin at 0 and spring of constant k and is connected to a dashpot of damping coefficient c. Determine the differential equation of the motionfor small...

Extracted text: 1. A uniform rod of mass m is supported by a pin at 0 and spring of constant k and is connected to a dashpot of damping coefficient c. Determine the differential equation of the motionfor small oscillations in terms of m, k. c and L What would be the natural period of this system for small oscillations. when it is undamped. if L is 1.2 m. k is 100 N/m. and m is 3 kg? Hint: mass moment of lInertia of the rod is (mL)/12 with respect to the axis passing through its mass center. Parallel axis theorem states Ie=l, +m d² where d is the distance between the axes x and x. Spring force is k times the displacement, damping force is the c times the speed in dashpot. linear spring spring coefficient = k mass of rod m L/2 L/2 damper damping coeffient = e