Chapter 17, Problem 67P

Two wheels of negligible weight are mounted at corners 4 and B of the rectangular 50-lb plate. If the plate is released from rest at 0= 60°, determine its angular velocity at the instant just before 6 30°.

The four balls, each of mass m = 2.3 kg, are rigidly mounted to the rotating frame and shaft, which are initially rotating freely about the vertical z-axis at the angular rate of 19.5 rad/s clockwise when viewed from above. The distances r = 0.25 m and R = 0.52 m. If a constant torque M = 23.1 N·m is applied to the shaft, calculate the time t to reverse the direction of rotation and reach an angular velocity = 19.5 rad/s in the same sense as M. m R m r M m R m

Determine a torque M in N.m, which is applied to the vertical shaft CD shown in the figure.The torque allows the 6 kg gear A to turn freely about CE. Assuming that gear A starts from rest. The angular velocity of CD is 18 rad/s after the gear A has turned three revolutions about the shaft CD. Neglect the mass of shaft CD and axle CE and assume that gear A can be approximated by a thin disk. Gear B is fixed.Determine the magnitude of the angular momentum of the gear A in kg m2/s.Mass moment of inertia of the gear A about Z axis in kg m2.Determine the kinetic energy of the gear A in joule (J).dermine a torque M in N.m, which is applied to the vertical shaft CD.Mass moment of inertia of the gear A about Y axis in kg m2.Mass moment of inertia of the gear A about X axis in kg m2.Determine the magnitude of the angular velocity of the gear A in rad/s.

The torsional spring is untwisted when the slender uniform rod is in the vertical position. The rod has a length of 0.81 m and a mass of 4.7 kg. The rod is released from rest in the horizontal position shown. What should the stiffness Kof the spring be so that the rod will have an angular speed of o = 4 rad/s when it passes the vertical position? The rod rotates freely about the fixed pin support at O. The motion occurs in a vertical plane. Choose the correct answer.

3. The 300-kg gear has a radius of gyration about its center of mass O of ko = 400 mm. If the wheel is subjected to a couple moment of M= 300 N-m, determine its angular velocity 6 s after it starts from rest and no slipping occurs. Also determine the friction force that the ground applies to the wheel. Solve the problem using Impulse and Momentum. M 300 Nm 0.6 m

The system is made up of the 1-m, 6.5-kg uniform rod AB and the two uniform disks (each of 0.15 m radius and 1.7 kg mass). If the system is released from rest when 0= 78°, when rod AB has just become horizontal, determine the angular velocity of rod AB in rad/s. Assume the disks roll without slipping. Your answer must include 2 places after the decimal point. Please pay attention: the numbers may change since they are randomized. Take g = 9.81 m/s². Your Answer: Answer

If the system is released from rest while in the horizontal position shown, determine the magnitude of the initial angular acceleration of the lightweight right-angle shaft. The sphere of radius r= 115 mm has mass m = 1.77 kg. Neglect friction at the bearing O. 2.5 r Answer: a = i 3.5 r m rad/s²

The circular disk of mass m and radius r, is rolling through the bottom of the circular path of radius R. If the disk has an angular velocity determine the force N exerted by the path on the disk.

The apparatus shown below was created by attaching a 12 kg sphere to end of a 4 kg uniform rod. If it is released from rest in the position shown, determine its angular velocity when t rotates clockwise 90°. M = 30 N·m 2 m B 0.8 m