Show clearly all working with detailed explanations The forces F, = (2i + bj) N, F2 = (-i+ 2j) N and F3 = (ai – 4j) N act through the points withposition 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.

Part a: Since, the system of forces is equivalent to just a couple, the net force must be zero.

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.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 82AP: Find the scalar components of three-dimensional vectors G and H in the following figure and write...

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