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PROBLEM 15.82
An overhead door is guided by wheels at A and B that roll in
horizontal and vertical tracks. Knowing that when
40
θ
= °
the
velocity of wheel B is 1.5 ft/s upward, determine (a) the angular
velocity of the door, (b) the velocity of end D of the door.
PROBLEM 15.83
Rod ABD is guided by wheels at A and B that roll in horizontal and
vertical tracks. Knowing that at the instant shown
60
β
= °
and the
velocity of wheel B is 40 in./s downward, determine (a) the angular
velocity of the rod, (b) the velocity of Point D.
PROBLEM 15.84
Rod BDE is partially guided by a roller at D that moves in a
vertical track. Knowing that at the instant shown the angular
velocity of crank AB is 5 rad/s clockwise and that
25 ,
β
= °
determine (a) the angular velocity of the rod, (b) the velocity of
Point E.
PROBLEM 15.84 (Continued)
PROBLEM 15.85
Rod BDE is partially guided by a roller at D which moves in a
vertical track. Knowing that at the instant shown
30 ,
β
= °
Point E
has a velocity of 2 m/s down and to the right, determine the
angular velocities of rod BDE and crank AB.
PROBLEM 15.86
A motor at O drives the windshield wiper
mechanism so that OA has a constant
angular velocity of 15 rpm. Knowing that
at the instant shown linkage OA is vertical,
θ
= 30°, and
β
= 15°, determine (a) the
angular velocity of bar AB, (b) the velocity
of the center of the center of bar AB.
PROBLEM 15.87
A motor at O drives the windshield wiper
mechanism so that point B has a speed of
20 mm/s. Knowing that at the instant
shown linkage OA is vertical,
θ
= 40°, and
β
= 15°, determine (a) the angular velocity
of bar OA, (b) the velocity of the center of
the center of bar AB.
PROBLEM 15.88
Rod AB can slide freely along the floor and the inclined
plane. Denoting by
A
v
the velocity of Point A, derive an
expression for (a) the angular velocity of the rod, (b) the
velocity of end B.
PROBLEM 15.89
Small wheels have been attached to the ends of bar AB
and roll freely along the surfaces shown. Knowing that
the velocity of wheel B is 7.5 ft/s to the right at the
instant shown, determine (a) the velocity of end A of the
bar, (b) the angular velocity of the bar, (c) the velocity of
the midpoint of the bar.
PROBLEM 15.90
Two slots have been cut in plate FG and the plate has been
placed so that the slots fit two fixed pins A and B. Knowing
that at the instant shown the angular velocity of crank DE is
6 rad/s clockwise, determine (a) the velocity of Point F,
(b) the velocity of Point G.
