Unformatted text preview: The cart B moves to the right with acceleration
a = 2g. If the steadystate angular deﬂection of
the uniform slender rod of mass 3m is observed
to be 20°, determine the value of the torsional
spring constant K The spring, which exerts a mo
ment of magnitude M = K9 on the rod, is unde—
formed when the rod is vertical. The values of m
and l are 0.5 kg and 0.6 m, respectively. Treat the
small end sphere of mass m as a particle. The two uniform identical bars are freely hingelii
at the lower ends and are supported at the upper: ends by small rollers of negligible mass which rolls on a horizontal rail. Determine the steadyStat
angle 9 assumed by the bars when they are ac
celerating under the action of a constant foroeF Y
Also ﬁnd the vertical forces on the rollers at 155
and B. '7? The uniform 16.1»lb slender bar is hinged about
a horizontal axis through 0 and released from
rest in the horizontal position. Determine the dis
tance b from the mass center to 0 which will re
sult in an initial angular acceleration of 16.1 rad/secg, and find the force R on the bar at 0 just ‘ after release. l; l E102
H.W. 7 (<4) The uniform semicircular bar of mass m and ra '
dius r is hinged freely about a horizontal axis
through A. If the bar is released from rest in the
position shown where AB is horizontal, deter
mine the initial angular acceleration a of the bar
and‘the expression for the force exerted on the
bar by the pin at A (Note carefully that the initial
tangential acceleration of the mass center is not
vertical.) The uniform steel I—beam has a mass of 300 kg
and is supported in the vertical plane as shown.
Calculate the force R supported by the pin at O
for the condition immediately after the support
at B is suddenly removed. The mass of the
bracket on the left end is small and may be ne
glected. Also treat the beam as a uniform slender
bari ...
View
Full Document
 Winter '08
 Eke

Click to edit the document details