Use the law of sines and the law of cosines, in conjunction with sketches of the force triangles, to solve the following problems. Determine the magnitude of the resultant R and the angle 6 between the x-axis and the line of action of the resultant for the following: 170 N 210 N 12

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Question
Use the law of sines and the law of cosines, in conjunction
with sketches of the force triangles, to solve the following
problems. Determine the magnitude of the resultant R and
the angle 6 between the x-axis and the line of action of the
resultant for the following:
170 N
210 N
12
Transcribed Image Text:Use the law of sines and the law of cosines, in conjunction with sketches of the force triangles, to solve the following problems. Determine the magnitude of the resultant R and the angle 6 between the x-axis and the line of action of the resultant for the following: 170 N 210 N 12
Expert Solution
Step 1

Calculate the angle ϕ and β that the forces make with the horizontal from the given figure.

Mechanical Engineering homework question answer, step 1, image 1

Mechanical Engineering homework question answer, step 1, image 2

Step 2

Draw the force triangle from the law of vector addition.

Mechanical Engineering homework question answer, step 2, image 1

From the cosine rule applied for the force triangle,

Mechanical Engineering homework question answer, step 2, image 2

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