Chapter 18, Problem 45P

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

Pravinbhai

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 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.

3. A yo-yo has a weight of 0.3 lb and a radius of gyration ko = 0.06 ft. If it is released from rest, determine how far it must descend in order to attain an angular velocity @ = 70 rad/s. neglect the mass of the string and assume that the string is wound around the central peg such that the mean radius at which it unravels is r = 0.02 ft.

The cylinder is at rest supported by the spring of stiffness 205 N/m when a torque of 78 Nm is applied as shown. The mass of the cylinder is 2.5 kg and its radius is 205 mm. If the wheel rolls without slipping, find the velocity of the centre of the wheel when it has moved a distance 352 mm up the slope with the angle ẞ= 25°.

At the instant shown, link CD rotates with an angular velocity of W = 9.0 rad/s. If it is subjected to a couple moment M= 320 N-m, determine the magnitude of the vertical reaction force developed on pin D. The block has a mass of 50 kg and center of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is negligible, the external force or moment acting on it sums up to 0.) Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper unit. Take g = 9.81 m/s². 0.1 m 0.6 m В А 0.4 m' G 0.4 m D C M Your Answer: Answer units

3. The uniform bar has a mass m and length 7. If it is released from rest when 0 = 0°, determine its angular velocity as a function of the angle before it slips. 3 23

The 32.2-lb wheel is released from rest and rolls on its hubs without slipping. Calculate the velocity v of the center O of the wheel after it has moved a distance x = 10 ft down the incline. The radius of gyration of the wheel about O is 5 in. 8" 2- 10