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PROBLEM 10.44
The position of member ABC is controlled by
the hydraulic cylinder CD. Determine the angle
knowing that the hydraulic cylinder exerts a 15-kN
force on pin C.
PROBLEM 10.45
The telescoping arm ABC is used to provide an elevated
platform for construction workers. The workers and the
platform together weigh 500 lb and their combined center of
gravity is located directly above C. For the position when
20 ,
determine the force exerted on pin B by the single
hydraulic cylinder BD.
PROBLEM 10.45 (Continued)
PROBLEM 10.46
Solve Problem 10.45 assuming that the workers are lowered
to a point near the ground so that
20 .
PROBLEM 10.45
The telescoping arm ABC is used to
provide an elevated platform for construction workers. The
workers and the platform together weigh 500 lb and their
combined center of gravity is located directly above C. For
the position when
20 ,
determine the force exerted on
pin B by the single hydraulic cylinder BD.
PROBLEM 10.47
Denoting by
s
the coefficient of static friction between collar C and the
vertical rod, derive an expression for the magnitude of the largest couple
M
for which equilibrium is maintained in the position shown. Explain what
happens if
tan .
s
PROBLEM 10.47 (Continued)
PROBLEM 10.48
Knowing that the coefficient of static friction between collar C and the
vertical rod is 0.40, determine the magnitude of the largest and smallest
couple M for which equilibrium is maintained in the position shown, when
35, l 600 mm, and 300 N.P
PROBLEM 10.49
A block of weight W is pulled up a plane forming an angle
with the horizontal by a force
P
directed
along the plane. If
is the coefficient of friction between the block and the plane, derive an expression for
the mechanical efficiency of the system. Show that the mechanical efficiency cannot exceed 1
2 if the
block is to remain in place when the force
P
is removed.
PROBLEM 10.50
Derive an expression for the mechanical efficiency of the jack discussed in Section 8.6. Show that if the
jack is to be self-locking, the mechanical efficiency cannot exceed
1
2.
PROBLEM 10.51
Denoting by
s
the coefficient of static friction between the block attached to
rod ACE and the horizontal surface, derive expressions in terms of P,
,
s
and
for the largest and smallest magnitude of the force
Q
for which equilibrium is
maintained.
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