16.72 A uniform slender rod of length L = 36 in. and weight W = 10 lb hangs freely from a hinge at C. A horizontal force P of magnitude 15 lb is applied at end B. Knowing that F = 9 in., determine (a) the angular acceleration of the rod, (b) the components of the reaction at C. Fig. P16.72 B P

17.31 The motion of the uniform slender 2.4-kg rod AB is guided at A and C by collars of negligible mass. The system is released from rest in position = 45° Knowing that the applied force P is zero, determine the angular velocity of rod AB when 0 = 30°. the Fig. P17.31 and P17.32 600 mm 225 mm

A uniform 144-lb cube is attached to a uniform 136-lb circular shaft as shown, and a couple M with a constant magnitude is applied to the shaft when the system is at rest. Knowing that r = 4 in., L= 12 in., and the angular velocity of the system is 960 rpm after 4 s, determine the magnitude of the couple M.

The telescoping arm ABC of Prob. 6.93 can be lowered until end C is close to the ground, so that workers can easily board the platform.For the position when θ = -220°, determine (a) the force exerted at B by the single hydraulic cylinder BD, (b) the force exerted on the supporting carriage at A.

Can you explain the radius of gyration ? why is it 480mm for the rod & 120mm for the disk. How do we figure this out ? thank you

A 197-kg flywheel is at rest when a constant 300 N·m couple is applied. After executing 560 revolutions, the flywheel reaches its rated speed of 2400 rpm. Knowing that the radius of gyration of the flywheel is 400 mm, determine the average magnitude of the couple due to kinetic friction in the bearing. N.m. The average magnitude of the couple due to kinetic friction in the bearing is [

16.103 A 5-kg uniform square plate is supported by two identical 1.5-kg uniform slender rods AD and BE. It is held in the position shown by rope CF Determine, immediately after rope CF has been cut, (a) the ac celeration of the plate, (b) the force exerted on the plate at point B. 240 mm Fig. P16.103 A 240 mm 200 mm B

An automobile wheel test rig consists of a uniform disk A, of mass mà = 5000 kg and radius rà = 1.5 m, that can rotate freely about its fixed center C and over which the wheel of an automobile is made to roll. A wheel B, whose center and center of mass coincide at D, is mounted on a shaft (not shown) that holds D fixed while it allows the wheel to rotate about D. The wheel has diameter d = 0.62 m, mass mß = 21.5 kg, and mass moment of inertia about its mass center /D = 44 kg-m². Both A and B are initially at rest when B is subject to a constant torque M that causes B to roll without slip on A. M B d A If M = 1200 N·m, use the angular impulse-momentum principle to determine how long it takes to reach conditions simulating a car speed of 100 km/h. The automobile wheel test rig takes s to reach conditions simulating a car speed of 100 km/h.