The center the 2-lb wheel with centroidal radius of gyration shown. Calculate the normal reaction N under the wheel as it rol 25 21" 13-
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- THE WEIGHT OF THE UNBALANCED WHEEL IS 200 KG AND IT HS A RADIUS OF GYRATION ABOUT ITS MASS CENTER, G, OF 0.3 METERS. AT THE INSTANT SHOWN IT IS ROTATING AT 6 RAD/SIN A CLOCKWISE DIRECTION. FIND THE FORCES BETWEEN AT THE PIVOT POINT C. Please include a Free Body DiagramThe rod AB is non-uniform with a radius of gyration of 4.00 ft with respect to a horizontal axis through the center of mass G. It weighs 161 lb. At the moment shown the rod has a counterclockwise angular velocity of 3.00 rad/sec, and the spring is compressed by 2.00 ft. Calculate the force constant of the spring that will reduce the angular velocity of the rod to 1.50 rad/sec when it reaches the horizontal position. Assume the blocks A and B are weightless.The radius of gyration of the 20-kg pulley about its mass center G is 300 mm. Compute the angular acceleration of the pulley and the tension in thecord AB.
- The uniform slender beam has a total mass of M and rotates freely at the indicated suspension point O. The horizontal beam section has a length of 2/3L and the vertical section has a length of 1/3L. The beam is released from the drawn position a) Draw the full-body diagram.b) Draw the kinematic diagram.c) determine the centre of gravity of the beamd) set up the necessary motion equationse) determine the angular acceleration of the beam (in g/L)f) determine the resulting force in the suspension point O. (leave the mg terms)The disk shown in the figure has a mass of 15 kg and is supported on point C of its periphery. The disc is released from the rest when theta = 30 ° and impacts with the wall when theta = 0 °. Calculate the reactions at support C, the angular acceleration of the disc immediately after it has been dropped from rest.The 60-kg unbalanced wheel rolls without slipping on the horizontalplane. The radius of gyration of the wheel about its mass center G is 240 mm.Calculate the kinetic energy of the wheel in the position shown, where its angular velocity is ω=2 rad/s.
- The mass of gear A is 25 kg and its centroidal radius of gyration is 105 mm. The mass of gear B is 13 kg and its centroidal radius of gyration is 85 mm. Calculate the angular acceleration of gear B when a torque of 16 N·m is applied to the shaft of gear A. Neglect friction. The angular acceleration is positive if counterclockwise, negative if clockwise..A momentum wheel for dynamics class demonstration is show. It is basically a bicycle wheel modified with rim band-weighting, handles, and a pulley for cord startup. The heavy rim band causes the radius of gyration of the 3.1 kg wheel tobe 275 mm. If a steady 32 N pull F is applied to the cord, determien the angular acceleration of the wheel. Neglect bearing friciton.A constant torque of 2kN-m is exerted on a crankshaft to start the engine.The flywheel has a mass of 1800kg and a radius of gyration 1m .If there is a resisting torque of 1kN-m,find the speed of the engine after 1 minute.
- The stepped roller in the rack is released from rest. The rope attached to the wall is tied to the 50 kg pulley as shown in the figure. Find the angular acceleration of the pulley. The reel plane rolls without slipping. The gyration radius k for the reel is given above 0.5 m.The spool has mass, m, and a radius of gyration kG. An inextensible cord is attached to the wall at A. The cord is wound around the radius R and the outer radius 2R. The coefficient of friction between the spool and the ground is mu. What it the critical force, Fcrit (force required to cause motion) applied at point B? If force= 2Fcrit what is the linear acceleration of the center of mass? If force= 2Fcrit what is the tension in cord AC?A small grinding wheel is attached to the shaft of an electric motor that has a rated speed of 3600 rpm. When the power is turned off, the unit coasts to rest in 70 s. The grinding wheel and rotor have a combined weight of 6 lb and a combined radius of gyration of 2 in. Determine the average magnitude of the couple due to kinetic friction in the bearings of the motor.