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The forces F, = (2i + bj) N, F2 = (-i+2j) N and F3 = (ai – 4j) N act through the points wit position vectors r, = (i + 3j) m, r, = (xi + 5j) m and rz = (-i+ j) m respectively. Given that this system of forces is equivalent to a couple of magnitude 12 N m, find (a) the values of the scalars a and b, (b) the possible values of the scalar x.

The forces F, = (2i + bj) N, F2 = (-i+2j) N and F3 = (ai – 4j) N act through the points wit position vectors r, = (i + 3j) m, r, = (xi + 5j) m and rz = (-i+ j) m respectively. Given that this system of forces is equivalent to a couple of magnitude 12 N m, find (a) the values of the scalars a and b, (b) the possible values of the scalar x.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The forces F, = (2i + bj) N, F2 = (-i+ 2j) N and F3 = (ai – 4j) N act through the points with position vectors r, = (i+ 3j) m, r, = (xi + 5j) m and r, = (-1+ j) m respectively. Given that this system of forces is equivalent to a couple of magnitude 12 N m, find (a) the values of the scalars a and b, (b) the possible values of the scalar x.
Transcribed Image Text:The forces F, = (2i + bj) N, F2 = (-i+ 2j) N and F3 = (ai – 4j) N act through the points with position vectors r, = (i+ 3j) m, r, = (xi + 5j) m and r, = (-1+ j) m respectively. Given that this system of forces is equivalent to a couple of magnitude 12 N m, find (a) the values of the scalars a and b, (b) the possible values of the scalar x.
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