PROBLEM 2.79
Determine the magnitude and direction of the force F = (240 N)i – (270 N)j + (680 N)k.
PROBLEM 2.80
Determine the magnitude and direction of the force F = (320 N)i + (400 N)j − (250 N)k.
PROBLEM 2.81
A force acts at the origin of a coordinate system in a direction defined by the angles
θ
x = 69.3° and
θ
z
= 57.9°. Knowing that the y component of the force is –174.0 lb, determine (a) the angle
θ
y, (b) the other
components and the magnitude of the force.
PROBLEM 2.82
A force acts at the origin of a coordinate system in a direction defined by the angles
θ
x = 70.9° and
θ
y = 144.9°. Knowing that the z component of the force is –52.0 lb, determine (a) the angle
θ
z, (b) the
other components and the magnitude of the force.
PROBLEM 2.83
A force F of magnitude 210 N acts at the origin of a coordinate system. Knowing that Fx = 80 N,
θ
z = 151.2°, and Fy < 0, determine (a) the components Fy and Fz, (b) the angles
θ
x and
θ
y.
PROBLEM 2.84
A force F of magnitude 1200 N acts at the origin of a coordinate system. Knowing that
θ
x = 65°,
θ
y = 40°, and Fz > 0, determine (a) the components of the force, (b) the angle
θ
z.
PROBLEM 2.85
A frame ABC is supported in part by cable DBE that
passes through a frictionless ring at B. Knowing that the
tension in the cable is 385 N, determine the components
of the force exerted by the cable on the support at D.
PROBLEM 2.86
For the frame and cable of Problem 2.85, determine the
components of the force exerted by the cable on the
support at E.
PROBLEM 2.85 A frame ABC is supported in part by
cable DBE that passes through a frictionless ring at B.
Knowing that the tension in the cable is 385 N, determine
the components of the force exerted by the cable on the
support at D.
PROBLEM 2.87
In order to move a wrecked truck, two cables are attached
at A and pulled by winches B and C as shown. Knowing
that the tension in cable AB is 2 kips, determine the
components of the force exerted at A by the cable.
PROBLEM 2.88
In order to move a wrecked truck, two cables are attached
at A and pulled by winches B and C as shown. Knowing
that the tension in cable AC is 1.5 kips, determine the
components of the force exerted at A by the cable.