Examples-Weeks 15-16 - The thin rod has a mass of 0.8 kg...

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Unformatted text preview: The thin rod has a mass of 0.8 kg and a total length of 150 mm. It is rotating about its midpoint at a constant rate while the table to which its axle A is fastened is rotating at 2 rad/s. Determine the x, y, z moment components which the axle exerts on the rod when the rod is in any position 0. 21-51. The 50-lb disk spins with a constant angular rate of wl = 50 rad/s about its axle. Simultaneously, the shaft rotates with a constant angular rate of col = 10 rad/s. Determine the x, y, z components of the moment developed in the arm at A at the instant shown. Neglect the weight of arm AB. .7» 0.75 ft ml: 50 rad/s H y Prob. 21—51 ' The thin disk is mounted on shaft AB, which coincides with a diametral line. Servomotors sus- tain the rotation rates 91 about this axis and $22 about the vertical are maintained at constant values by servomo- tors that exert torques about the respective shafts. Derive expressions for the dynamic reactions at bearings A and B and the required moment about shaft AB as functions of 0. It may be assumed that the bearings exert forces, but ‘ not couples, and that only the mass of the disk is signifi- cant. 10” a) = 107: rad/sec The 4-in.-radius wheel weighs 6 lb and turns about its y’-axis with an angular velocity p = 401T rad/sec in the direction shown. Simultaneously the fork rotates about its x-axis shaft with an an- gular velocity to = 107r rad/ sec as indicated. Cal— culate the angular momentum of the wheel about its center 0’. Also compute the kinetic energy of ‘the wheel. . The assembly consists of a 4-kg rod AB which is connected to link 0A and the collar at B by ball—and—socket joints. When 0 = 0°, y = 600 mm, the system is at rest, the spring is unstretched, and a couple moment M = (49 + 2) N - m, where 0 is in radians, is applied to the link at 0. Determine the angular velocity of the link at the instant 9 = 90°. Neglect the mass of the link. Z ...
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This note was uploaded on 04/05/2012 for the course ME 324 taught by Professor Neptune during the Spring '08 term at University of Texas at Austin.

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Examples-Weeks 15-16 - The thin rod has a mass of 0.8 kg...

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