Cable BC exerts a force of F = 28 N on the top of the flagpole. Determine the projection of this force along the z-axis of the pole.
A blog where I post solutions to the mechanics and statics problems that I encounter. Also many mastering engineering problems will be seen, so users of that program may find this blog interesting. The course uses the Hibbeler Statics textbook and some of the subjects covered include: Cartesian vectors, force resultants, force equilibrium, particle equilibrium, Hooke's Law, vector decomposition, etc. More to be added as those problems and topics are encountered.
Showing posts with label Vector Decomposition. Show all posts
Showing posts with label Vector Decomposition. Show all posts
Tuesday, October 6, 2015
2_2_c
Determine the position (x, y, 0) for fixing cable BA so that the resultant of the forces exerted on the pole is directed along its axis, from B toward O and has a magnitude of 1 kN. Also, what is the magnitude of force F3?
2_2_a
Determine the length of the connecting rod AB by first formulating a Cartesian position vector from A to B and then determining its magnitude
Labels:
2,
Cartesian Vector,
Position Vector,
Resultant,
Statics,
Unit Vector,
Vector,
Vector Decomposition
2_1_k
The pole is subjected to the force F, which has components acting along the x, y, z axes as shown. If the magnitude of F is 3 kN, and
= 30o and
= 75o, determine the magnitudes of F and Fy.
2_1_j
The mast is subjected to the three forces shown. Determine the coordinate direction angles
of F1 so that the resultant force acting on the mast is zero.
2_1_i
Express each force in Cartesian vector form
2_1_h
Determine the x and y components of F1 and F3
Labels:
2,
Cartesian Vector,
Components,
Particles,
Resultant,
Statics,
Vector,
Vector Decomposition
2_1_g
The upwards acting force of (F1 + F3) kN has to be counter balanced by Fa and Fb. Determine Fa and Fb so that its resultant acts vertically downwards with (F1 + F3) kN
2_1_f
Determine the resultant force and its direction measured from the positive x-axis.
Labels:
2,
Components,
Force,
Force System Resultants,
Resultant,
Statics,
sum,
Vector,
Vector Decomposition
2_1_e
Use vector decomposition to determine the resultant force and its angle relative to the positive x-axis
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