4. ) The forces F1 = (2i + bj) N, F2 = (-i+2j) N and F3 = (ai – 4j) N act through the points with position vectors ri =(i+ 3j) m, r2 = (xi + 5j) m and rs = (-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. (c) (ii) A particle starts from rest and moves in a straight line on a smooth horizontal surface. the speed of the particle. Given that v= when t= 1, show that v = 1/4(e2t. 1).

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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4. (1) The forces F1 = (2i + bj) N, F2 = (-i+ 2j) N and F3 = (ai – 4j) N act through the points with
position vectors ri = (i + 3j) m, r2 = (xi + 5j) m and r3 = (-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.
(c) (i) A particle starts from rest and moves in a straight line on a smooth horizontal surface.
the speed of the particle. Given that v=
when t- 1, show that
v = 1/4(e2t. 1).
(Take g as 10 m s.)
Transcribed Image Text:4. (1) The forces F1 = (2i + bj) N, F2 = (-i+ 2j) N and F3 = (ai – 4j) N act through the points with position vectors ri = (i + 3j) m, r2 = (xi + 5j) m and r3 = (-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. (c) (i) A particle starts from rest and moves in a straight line on a smooth horizontal surface. the speed of the particle. Given that v= when t- 1, show that v = 1/4(e2t. 1). (Take g as 10 m s.)
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