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PROBLEM 3.9
Rod AB is held in place by the cord AC. Knowing that the tension in
the cord is 1350 N and that c = 360 mm, determine the moment about
B of the force exerted by the cord at point A by resolving that force
into horizontal and vertical components applied (a) at point A, (b) at
point C.
PROBLEM 3.10
Rod AB is held in place by the cord AC. Knowing that c = 840 mm
and that the moment about B of the force exerted by the cord at point
A is 756 N∙m, determine the tension in the cord.
PROBLEM 3.11
The tailgate of a car is supported by the hydraulic lift BC. If
the lift exerts a 125-lb force directed along its centerline on
the ball and socket at B, determine the moment of the force
about A.
PROBLEM 3.12
The tailgate of a car is supported by the hydraulic lift BC. If
the lift exerts a 125-lb force directed along its centerline on
the ball and socket at B, determine the moment of the force
about A.
PROBLEM 3.13
It is known that the connecting rod AB exerts on the crank BC a 2.5-kN force
directed down and to the left along the centerline of AB. Determine the moment of
the force about C.
PROBLEM 3.14
It is known that the connecting rod AB exerts on the crank BC a 2.5-kN force
directed down and to the left along the centerline of AB. Determine the moment of
the force about C.
PROBLEM 3.15
Form the vector products B × C and B
′
× C, where B = B′, and use the
results obtained to prove the identity
11
sin cos sin( ) sin( ).
22
a β aβ aβ
= ++ −
PROBLEM 3.16
The vectors P and Q are two adjacent sides of a parallelogram. Determine the area of the parallelogram
when (a) P = –8i + 4j – 4k and Q = 3i + 3j + 6k, (b) P = 7i – 6j – 3k and Q = –3i + 6j – 2k
PROBLEM 3.17
A plane contains the vectors A and B. Determine the unit vector normal to the plane when A and B are
equal to, respectively, (a) 2i + 3j – 6k and 5i – 8j – 6k,
(b) 4i – 4j + 3k and –3i + 7j – 5k.
PROBLEM 3.18
A line passes through the points (12 m, 8 m) and (–3 m, –5 m). Determine the perpendicular distance d from
the line to the origin O of the system of coordinates.
