Forces F1 and F2 act on the bracket as shown. Determine the projection Fb of their resultant R onto the b-axis.

Expert Solution

Solution

The parallelogram addition of F1 and F2 is shown in the figure. Using the law of cosines gives us The figure also shows the orthog

R²=(80)²+(100)²-2(80)(100)cos130°, so R=163.4N

The figure also shows the orthogonal projection Fb of R onto the b-axis. Its length is

F_b=80+100cos50°=144.3N

Note that the components of a vector are in general not equal to the projections of the vector onto the same axes. If the a-axis had been perpendicular to the b-axis, then the projections and components of R would have been equal.

SUN BUNRA answered 2 years ago

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