Engineering Statics

Engineering
Tutor: None Selected Time limit: 1 Day

Determine the magnitude of the resultant force and its direction measured clockwise from the x-axis 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.

Jun 20th, 2015

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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.ometric-ally

For the vector ai + bj + ck,

x-component = a,

y-component = b,

z-component = c.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 20th, 2015

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