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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. 2151. The 50lb 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 4in.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 xaxis 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 4kg 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.
 Spring '08
 Neptune

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