Each of the two links has a mass of 2 kg and a centroidal radius of gyration of 60 mm. The slider at B has a mass of 3 kg and moves freely in the vertical guide. The spring has a stiffness of 6 kN/m. If a constant torque M = 20 N∙m is applied to link OA through its shaft at O starting from the rest position at θ = 45°, determine the angular velocity of OA when θ = 0.

SOLVE USING PRINCIPLE OF WORK AND ENERGY

The slotted circular disk whose mass is 4.9 kg has a radius of gyration about O of 230 mm. The disk carries the four steel balls, each of mass 0.17 kg and located as shown, and rotates freely about a vertical axis through O with an angular speed of 164 rev/min. Each of the small balls is held in place by a latching device not shown. If the balls are released while the disk is rotating and come to rest relative to the disk at the outer ends of the slots, compute the new angular speed N of the disk. Also find the magnitude |AE| of the energy loss due to the impact of the balls with the ends of the slots. Neglect the diameter of the balls and discuss this approximation. 164 rev/min 145 mm 305 mm

The 4.8-kg rod AB is attached to a collar of negligible mass at A and to a flywheel at B. The flywheel has a mass of 16 kg and a radius of gyration of 180 mm. If the angular velocity of the flywheel is to be the same in the position shown and when point B is directly above C, determine the required value of its angular velocity in the position shown in the figure. 720 mm B 240 mm The required value of angular velocity of the flywheel is rpm (Click to select)

7/121 The 5-kg disk and hub A have a radius of gyration of 85 mm about the zo-axis and spin at the rate 1250 rev/min. Simultaneously, the assem- bly rotates about the vertical z-axis at the rate 2 = 400 rev/min. Calculate the gyroscopic mo- ment M exerted on the shaft at C by the disk and the bending moment Mo in the shaft at O. Neglect the mass of the shaft but otherwise account for all forces acting on it. 300 mm A 2001 --y 100 mm Problem 7/121