The 9-lb sphere and 6-lb block (shown in section) are secured to the arm of negligible mass which rotates in the vertical plane about a horizontal axis at O. The 3-lb plug is released from rest at A and falls into the recess in the block when the arm has reached the horizontal position. An instant before engagement, the arm has an angular velocity wo = 1.7 rad/s. Determine the angular velocity w (positive if counterclockwise, negative if clockwise) of the arm immediately after the plug has wedged itself in the block. 9 lb 13" nswer: w= i 22" 27 3 lb 26" 6 lb A rad/s

The 10 kg wheel has a radius of gyration about its center O of ko = 300 mm. When the wheel is subjected to the couple moment, it slips as it rolls. Determine the angular acceleration of the wheel and the acceleration of the wheel's center O. The coefficient of kinetic friction between the wheel and the plane is = 0.2. (Figure 1) Figure M 100 N m < 1 of 1 0.4 m Part A Determine the angular acceleration of the wheel. Express your answer to three significant figures and include the appropriate units. α = Submit ■ Part B ao = μÅ X Incorrect; Try Again Value Submit Previous Answers Request Answer Determine the acceleration of the wheel's center O. Express your answer to three significant figures and include the appropriate units. μA Units Value X Incorrect; Try Again Units ? Previous Answers Request Answer ? Units input for part B

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 30-kg rod starts is released from rest when 0 = 45° as shown in Fig.6. Determine the angular velocity of the rod when 0=0°. The spring is unstretched when 0 = 45°. 1.5 m k= 300 N/m Fig. 6

The 5 kg thin disk shown rotates with a constant angular velocity about the shaft CD such that w1=5 rad/s. It also rotates about its own axis at A such that 2 rad/s and 4 rad/s at the instant shown. Considering only the mass of the disk, determine the reaction forces at the bearings C and D