A solid cylinder 5 meters in diameter and weighing 50 KN is at rest on a 45-degree inclined plane. The coefficient of static friction is 0.25 and of kinetic friction is 0.20. Compute the centroidal mass moment of inertia of the cylinder when it is released to the inclined plane.

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17.4 The inertial properties of a three-stage rocket are shown in the figure. Note that k; is the radius of gyration for the ith stage about the axis that is parallel to the x-axis and passes through the center of gravity G; of the stage. Find z and I, of the rocket. 74.1 ft 48.3 ft 40.2 ft G2 -138.2 ft- -109.5 ft 113.0 ft- W, = 4780 kips W3 = 220 kips k, = 40.6 ft W2 = 1010 kips kz = 34.0 ft k2 = 32.4 ft Fig. P17.4

A large symmetrical drum for drying sand is operated by the geared motor drive shown. If the mass of the sand is 750 kg and an average gear-tooth force of 2.65 kN is supplied by the motor pinion A to the drum gear normal to the contacting surfaces at B, calculate the average offset of the center of mass G of the sand from the vertical centerline. Neglect all friction in the supporting rollers. Assume r = 155 mm, R = 660 mm, 0 = 20° Detail of contact at B Answer: x = i B R →→→ G mm

Consider the system shown at right. Find an equation of motion for the block with mass m,. Assume that the small wheel has negligible mass moment of inertia and that the larger one has a radius R and a mass moment of inertia I (measured respect to its axis of rotation). Note that there is a friction between the block with m2 mass m2 and the plane. The dynamic friction coefficient is equal to µa. m1 Md

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