Chapter 2: Force Vectors

Chapter 2: Force Vectors
Important Notes (Click Image)
Problems (click on picture for link to worked out solution)
Determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive x-axis
Determine the magnitude of the resultant force and its direction measured CCW from the positive x-axis if given theta and the magnitude of F.
Determine the magnitude of F and its direction if given the magnitude of the resultant force
Use the trigonometric laws to find the resultant force and determine its angle (clockwise positive angle) relative to the positive x-axis
Find the resultant and its angle relative to the positive x-axis
Use the trigonometric laws to find the resultant force and its direction and use vector decomposition method to verify your results
Determine the angle for F3 so that the resultant force is directed along the positive x-axis
Use vector decomposition to determine the resultant force and its angle relative to the positive x-axis
Determine the resultant force and its direction measured from the positive x-axis
Determine the magnitudes of the unknown forces so that their resultant acts vertically downwards with a given magnitude
Determine the x and y components of the forces
Express each force in Cartesian vector form
Determine the coordinate direction angles of the force so that the resultant force acting on the mast is zero
Determine the magnitudes of the unknown forces if given certain magnitudes and angles
Determine the length of the connecting rod
Determine the lengths of cords ACB and CO
Determine the position for fixing the cable so that the resultant of the forces exerted on the pole is directed along its axis and has a magnitude of 1 kN. Also, Determine the magnitude of the unknown force
Determine the projection of the force along the z-axis of the pole
Determine the magnitudes of the projected components
Determine the angle between the two cords
Determine the magnitudes of the perpendicular and parallel components of the given force F in relation to the pipe's axis
Determine the angle between the edges of the sheet metal bracket
Determine the magnitude and coordinate direction angles of the unknown force so that the resultant of the three forces is zero

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