Engineering Statics
Engineering

Tutor: None Selected  Time limit: 1 Day 
Determine the magnitude of the resultant force and its direction measured clockwise from the xaxis through the following 3 methods (you must show all the work for each method):
a. The parallelogram law or triangle rule.
b. Scalar rectangular components.
c. Cartesian vector rectangular components.
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The parallelogram law or triangle rule_In the
triangle rule, you use the second vector starting at the terminus of the
first vector & then join the base of the first vector to the
terminus of the second vector, thereby completing a triangle, to obtain
the resultant vector.
Whereas in the parallelogram rule, you join both the vectors at their
respective bases & then draw their respective parallel vectors
starting from the the terminus of the other vector thereby creating a
parallelogram for you. Now, he resultant vector must be the diagonal
vector of the parallelogram starting at the first common base point of
the two given vectors & ending at the vertex on the diagonally
opposite side of the parallelogram.
In both cases, you can find the angle that the resultant vector makes w.r.t one of the original vectors trigonScalar rectangular components.ometrically
For the vector ai + bj + ck,
xcomponent = a,
ycomponent = b,
zcomponent = c.
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