The disc is stationary when the springs are unstretched If it rolls without slipping determine th...
The uniform cylinder rolls without slipping and point C is the center of the cylinder springs to the cylinder. Bar AB moves with point C but bar AB does not rotate as the cylinder rolls. me is the mass of the cylinder r is the radius of the cylinder. Find the system's Bar AB is a yoke that connects the two is the mass of the bar, and AB 2k natural frequency answer: Vmc +m AB A ww C
30 N/m 4/ The 50-kg spool is attached to two springs. If the spool 1s d?splaced a small amount and released, determine the natural period of vibration. The radius of gyration of the spool is ko-1.5 m. The spoll rolls without slipping 2 m Ans: F 4.79s k 10 N/mm
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The 40-kg wheel has a radius of gyration about its center of gravity G of k_G = 250 mm. If it rolls without slipping, determine its angular velocity when it has rotated clockwise 90 degree from the position shown. The spring AB has a stiffness k = 100 N/m and an unstretched length of 500 mm. The wheel is released from rest.
The circular disk rolls to the left without slipping. If 2.74j m/s2, determine the velocity and acceleration of the center O of the disk. 210 210 B 320 mm mm Answers: i m/s i m/s2
A wheel rolls up a 3.5m hill without slipping. The wheel has a mass of 20kg, a radius of 0.4 m and a radius of gyration of 0.3m. What is the minimum required speed of the center of the wheel (ve) at the bottom o the hill, so that it will make it to the top of the hill? Wheel: R 0.4 m k 0.3 m m 20 kg 3.5 m ve? 4. Piston B is confined to move in...
20. A disc of mass m and radius r rolls down an inclined plane without slipping from rest at a height h. The speed of its centre of mass, when it reaches the bottom, is : 21. A particle is located on the x axis at x = 2.0 m from the origin. A force of 25 N, directed 30° above the x axis in the x-y plane, acts on the particle. What is the torque about the origin on...
Part A The 26-kg disk is originally at rest, and the spring is unstretched. A couple moment of M-80 N·m is then applied to the disk as shown. The disk rolls without slipping. (Figure 1) Determine the angular velocity of the disc, measured counterclockwise, when its mass center G has moved 0.5 Im along the plane. Express your answer using three significant figures. Enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity is...
Determine the speed of the 50-kg cylinder after it has descended a distance of 2 m, starting from rest. Gear A has a mass of 10 kg and a radius of gyration of 125 mm about its center of mass. Gear B and drum C have a combined mass of 30 kg and a radius of gyration about their center of mass of 150 100 mm 150mm 200 mm
Determine the speed of the 50-kg cylinder after it has descended...
A 11.9-kg cylinder rolls without slipping on a rough surface. At an instant when its center of gravity has a speed of 11.9 m/s, determine the following. (a) the translational kinetic energy of its center of gravity (b) the rotational kinetic energy about its center of gravity (c) its total kinetic energy Submit Answer
The 17-kg wheel has an eccentric mass which places the center of
mass G a distance r¯ = 142 mm away from the geometric
center O. A constant couple M = 11.8 N∙m is
applied to the initially stationary wheel, which rolls without
slipping along the horizontal surface and enters the curve of
radius R = 1110 mm. Determine the normal force
NC under the wheel just before it exits the
curve at C. The wheel has a rolling radius...