The 18-lb sphere and 12-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 7-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 ω0 = 2.3 rad/s. Determine the angular velocity ω (positive if counterclockwise, negative if clockwise) of...
4. A 6-kg block (my), initially at rest on a rough shelf, is connected to a 4-kg block (m2) that hangs by an inextensible string of negligible mass passing over a pulley. The uniform disk-shaped pulley, having a mass of 3.0-kg and a radius of 10 cm, rotates about the symmetry axis through its center. The 6-kg block, which is attached to the spring, is initially pushed against the spring compressing it a distance of 30 cm from its equilibrium...