Chapter 17, Problem 106P

A constant couple moment M is acted on the drum O to pull the spool C up the incline. Both drum O and spool C can be treated as uniform disk. If spool C is rolling without slipping, determine the angular acceleration of the drum and the cord force. R R (0 M

At the instant shown, the 200-lb bar rotates clockwise at 4 rad/s. The spring attached to its endalways remains vertical due to the roller guide at C. If the spring has an unstretched length of 2ft and a stiffness of k = 9 lb/ft, determine the angular velocity of the bar the instant it has rotated 39° clockwise.

The 16-kg wheel has a radius of gyration about its center O of ko = 220 mm, and radius r = 0.4 m. When the wheel is subjected to the couple moment M = 98 N•m, it slips as it rolls. Determine the angular acceleration of the wheel (in rad/s²). The coefficient of kinetic friction between the wheel and the plane is μ = 0.27. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M Your Answer: Answer 1

The double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 32 kg and a radius of gyration k_O = 260 mm. The men A and B have a mass of 60 kg and 70 kg, respectively. Assume they do not move relative to the rope during the motion. Neglect the mass of the rope. If two men A and B grab the suspended ropes and step off the ledges at the same time, determine the speed of man A in 4.2 s starting from rest.   vA= ???   If two men A and B grab the suspended ropes and step off the ledges at the same time, determine the speed of man B in 4.2 s starting from rest.   vB= ???

The 33-kg reel has a radius of gyration about its center O of ko = 240 mm. If it is released from rest, determine its angular velocity W (in rad/s) when its center O has traveled 6.9 m down the smooth inclined plane (with angle = 32°). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². 0.2 m Your Answer: Answer TO 0.4 m

The pendulum has a mass of 7.2 kg, a centre of gravity at G, and a radius of gyration of 0.31 m about the fixed pin support at O. The pendulum is released from rest in the position where 0 = 43 •. What is the magnitude of the pendulum's angular acceleration (in rad/s?) at this instant? Take = OG = 0.24 m. The motion occurs in a vertical plane and friction is negligible. f = OG G

The assembly consisting of a uniform slender bar (mass = 1.5 kg and L = 0.49 m) and a rigidly attached uniform disk (mass = 6.8 kg) is freely pinned to point O on the collar that in turn slides on the fixed horizontal guide. The assembly is at rest when the collar is given a sudden acceleration a = 3.4 m/s² to the left as shown. Determine the initial angular acceleration a of the assembly. The angular acceleration is positive if counterclockwise, negative if clockwise. 6.8 kg Answer: a = i 1.5 kg LA rad/s²

The 10-kg uniform slender rod is suspended at rest when the force of F = 150 N is applied to its end. Determine the angular velocity of the rod when it has rotated 180° clockwise from the position shown. The force is always perpendicular to the rod.

The 12-kg slender rod is pinned to a small roller that slides freely in the slot. If the rod is released from rest with θ = 0o , determine the angular acceleration of the rod and the linear acceleration of the center of mass immediately after release.