Question

1. On F2, if \(\alpha = 120^\circ\) and \(\gamma = 45^\circ\); If \(\beta\) is \(< 90^\circ\), (a) What is \(\beta\) on F2? (Note \(\beta\) is less than 90°, use a trig identity to calculate its value.) (b) Express each of the two forces, F1 and F2 as Cartesian force vectors. (c) What are the direction cosines of F1 and F2? (d) Determine the magnitude of the resultant force of the two forces acting on the bracket. Express the resultant as both a Cartesian vector and as a magnitude. (e) Determine the direction Cosines or coordinate angles of the Resultant, express as angles in degrees for \(\alpha\), \(\beta\), and \(\gamma\). (f) Using Cartesian vectors, write the equation that would allow you to calculate the angle between F1 and F2. Using that equation, calculate that angle between F1 and F2.

          1. On F2, if \(\alpha = 120^\circ\) and \(\gamma = 45^\circ\); If \(\beta\) is \(< 90^\circ\),
(a) What is \(\beta\) on F2? (Note \(\beta\) is less than 90°, use a
trig identity to calculate its value.)
(b) Express each of the two forces, F1 and F2 as
Cartesian force vectors.
(c) What are the direction cosines of F1 and F2?
(d) Determine the magnitude of the resultant force
of the two forces acting on the bracket. Express the
resultant as both a Cartesian vector and as a
magnitude.
(e) Determine the direction Cosines or coordinate
angles of the Resultant, express as angles in
degrees for \(\alpha\), \(\beta\), and \(\gamma\).
(f) Using Cartesian vectors, write the equation that would allow you to calculate the angle
between F1 and F2. Using that equation, calculate that angle between F1 and F2.

1. On F2, if α = 120^∘ and γ = 45^∘; If β is < 90^∘,
(a) What is β on F2? (Note β is less than 90°, use a
trig identity to calculate its value.)
(b) Express each of the two forces, F1 and F2 as
Cartesian force vectors.
(c) What are the direction cosines of F1 and F2?
(d) Determine the magnitude of the resultant force
of the two forces acting on the bracket. Express the
resultant as both a Cartesian vector and as a
magnitude.
(e) Determine the direction Cosines or coordinate
angles of the Resultant, express as angles in
degrees for α, β, and γ.
(f) Using Cartesian vectors, write the equation that would allow you to calculate the angle
between F1 and F2. Using that equation, calculate that angle between F1 and F2.

Added by Mireia V.

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