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CIVE 281 ANALYTICAL MECHANICS
Assignment No. 9
1. A 10kg uniform disk is placed in contact with an inclined surface and a constant 11 N
⋅
m couple
M
is applied as shown. The weight of the link
AB
is negligible. Knowing
that the coefficient of kinetic friction at
D
is 0.4, determine (
a
) the
angular acceleration of the disk, (
b
) the force in the link
AB
.
2. A uniform sphere of radius
r
and mass
m
is placed with no initial velocity on a belt that moves to the
right with a constant velocity
v
1
. Denoting by
μ
k
the coefficient of
kinetic friction between the sphere and the belt, determine (
a
) the time
t
1
at which the sphere will start rolling without sliding, (
b
) the linear
and angular velocities of the sphere at time
t
1
.
3. A uniform rod of length
L
and mass
m
is supported as shown. If the cable attached at
B
suddenly
breaks, determine (
a
) the distance
b
for which the acceleration of end
A
is maximum, (
b
) the corresponding acceleration of end
A
and the
reaction at
C
.
4. A drum of 10.2cm radius is attached to a disk of 20.3cm radius. The disk and drum have a total
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This note was uploaded on 12/17/2011 for the course CIVE 281 taught by Professor Prof.v.h.chu during the Spring '10 term at McGill.
 Spring '10
 Prof.V.H.Chu

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