PROBLEM 4.85
An 8-kg slender rod of length L is attached to collars that can slide freely
along the guides shown. Knowing that the rod is in equilibrium and that
30, determine (a) the angle
that the rod forms with the vertical,
(b) the reactions at A and B.
PROBLEM 4.86
A uniform rod AB of length 2R rests inside a hemispherical bowl of
radius R as shown. Neglecting friction, determine the angle
corresponding to equilibrium.
PROBLEM 4.87
A slender rod BC of length L and weight W is held by two cables as
shown. Knowing that cable AB is horizontal and that the rod forms
an angle of 40 with the horizontal, determine (a) the angle
that
cable CD forms with the horizontal, (b) the tension in each cable.
PROBLEM 4.88
A thin ring of mass 2 kg and radius r 140 mm is held against a frictionless
wall by a 125-mm string AB. Determine (a) the distance d, (b) the tension in
the string, (c) the reaction at C.
PROBLEM 4.89
A slender rod of length L and weight W is attached to a
collar at A and is fitted with a small wheel at B. Knowing
that the wheel rolls freely along a cylindrical surface of
radius R, and neglecting friction, derive an equation in
, L,
and R that must be satisfied when the rod is in equilibrium.
PROBLEM 4.90
Knowing that for the rod of Problem 4.89, L 15 in., R 20
in., and W 10 lb, determine (a) the angle
corresponding
to equilibrium, (b) the reactions at A and B.
PROBLEM 4.91
Two transmission belts pass over a double-sheaved pulley
that is attached to an axle supported by bearings at A and
D. The radius of the inner sheave is 125 mm and the radius
of the outer sheave is 250 mm. Knowing that when the
system is at rest, the tension is 90 N in both portions of
belt B and 150 N in both portions of belt C, determine the
reactions at A and D. Assume that the bearing at D does
not exert any axial thrust.
PROBLEM 4.92
Solve Problem 4.91, assuming that the pulley rotates at a
constant rate and that TB 104 N, T′B 84 N, TC 175 N.
PROBLEM 4.91 Two transmission belts pass over a
double-sheaved pulley that is attached to an axle supported
by bearings at A and D. The radius of the inner sheave is
125 mm and the radius of the outer sheave is 250 mm.
Knowing that when the system is at rest, the tension is 90 N
in both portions of belt B and 150 N in both portions of
belt C, determine the reactions at A and D. Assume that the
bearing at D does not exert any axial thrust.
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PROBLEM 4.93
A small winch is used to raise a 120-lb load.
Find (a) the magnitude of the vertical force
P
that should be applied at C to maintain
equilibrium in the position shown, (b) the
reactions at A and B, assuming that the bearing at
B does not exert any axial thrust.