3. Find the natural frequency of the homogeneous cylinder as shown in figure, a. Using energy method b. Newton's method (Assume no slip between cylinder and the ground.) www k k 4. Find the natural frequency of the system given below. (Assume the pulley is homogeneous and no slip between pulley and the rope) M m 5. The graph given below shows the vibration measurements of one-degree-of-freedom system. Drive the equation of motion of the system. (Hint: * +25w,*+wx) ti= 0.27 s, x= 1, t= 0.2,70 s, X140.4, 12 4.54 s, X24= 0.2 0.8 14 0.6 X24 0.4 0.2 0 wwww -0.2 -0.4 -0.6 -0.8 1.2 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 75 8 I