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PROBLEM 15.42
Rod AB can slide freely along the floor and the inclined plane. At
the instant shown the angular velocity of the rod is 4.2 rad/s
counterclockwise. Determine (a) the velocity of end A of the rod,
(b) the velocity of end B of the rod.
PROBLEM 15.43
Rod AB moves over a small wheel at C while end A moves to the
right with a constant velocity of 25 in./s. At the instant shown,
determine (a) the angular velocity of the rod, (b) the velocity of
end B of the rod.
PROBLEM 15.44
The disk shown moves in the xy plane. Knowing that
( ) 7 m/s,
Ay
v= −
( ) = 7.4 m/s,
Bx
v−
and
( ) 1.4 m/s,
Cx
v= −
determine (a) the angular velocity of the disk, (b) the velocity
of point B.
PROBLEM 15.45
The disk shown moves in the xy plane. Knowing that
( ) 7 m/s,
Ay
v= −
( ) = 7.4 m/s,
Bx
v−
and
( ) 1.4 m/s,
Cx
v= −
,
determine (a) the velocity of point O, (b) the point of the disk
with zero velocity.
PROBLEM 15.46
The plate shown moves in the xy plane. Knowing that
()
Ax
v
=
250 mm/s,
( ) 450 mm/s,
Bx
v= −
and
( ) 500 mm/s,
Cx
v= −
determine (a) the angular velocity of the plate, (b) the velocity of
Point A.
PROBLEM 15.47
Velocity sensors are placed on a satellite that is
moving only in the xy plane. Knowing that at the
instant shown the uni-directional sensors measure
(vA)x = 2 ft/s, (vB)x = −0.333 ft/s, and (vC)y = −2 ft/s,
determine (a) the angular velocity of the satellite,
(b) the velocity of point B.
PROBLEM 15.48
In the planetary gear system shown, the radius of gears A, B, C, and D is a
and the radius of the outer gear E is 3a. Knowing that the angular velocity
of gear A is
ω
A clockwise and that the outer gear E is stationary, determine
(a) the angular velocity of each planetary gear, (b) the angular velocity of
the spider connecting the planetary gears.
PROBLEM 15.49
In the planetary gear system shown, the radius of gears A, B, C, and D is
30 mm and the radius of the outer gear E is 90 mm. Knowing that gear E
has an angular velocity of 180 rpm clockwise and that the central gear A
has an angular velocity of 240 rpm clockwise, determine (a) the angular
velocity of each planetary gear, (b) the angular velocity of the spider
connecting the planetary gears.
PROBLEM 15.49 (Continued)
PROBLEM 15.50
Arm AB rotates with an angular velocity of 20 rad/s counter-
clockwise. Knowing that the outer gear C is stationary, determine
(a) the angular velocity of gear B, (b) the velocity of the gear tooth
located at Point D.
