Problem 2.3 Consider the two forces, F, and F2, shown inFig. 2.17. Assume that these forces are applied on an object inthe xy-plane. The first force has a magnitude F1 = 15 N and isapplied in a direction that makes an anglepositive x axis, and the second force has a magnitudeF2 = 10 N and is applied in a direction that makes an angleB = 45° with the negative x axis.FRa = 30° with theF2(a) Calculate the scalar components of F, and F2 along the x andy directions.(b) Express Fı and F2 in terms of their components.(c) Determine an expression for the resultant force vector, FR-(d) Calculate the magnitude of the resultant force vector.(e) Calculate angle 0 that FR makes with the positive y axis.Fig. 2.17 Problem 2.3

Answered: Image /qna-images/answer/5d660041-d059-431a-a876-5f10937caaa3.jpg

(a) Calculate the scalar components of F, and F2 along the x and y directions. (b) Express F and F2 in terms of their components. (c) Determine an expression for the resultant force vector, FR- (d) Calculate the magnitude of the resultant force vector. (e) Calculate angle 0 that FR makes with the positive y axis.

(a) Calculate the scalar components of F, and F2 along the x and y directions. (b) Express F and F2 in terms of their components. (c) Determine an expression for the resultant force vector, FR- (d) Calculate the magnitude of the resultant force vector. (e) Calculate angle 0 that FR makes with the positive y axis.

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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Question

Problem 2.3 Consider the two forces, F, and F2, shown in
Fig. 2.17. Assume that these forces are applied on an object in
the xy-plane. The first force has a magnitude F1 = 15 N and is
applied in a direction that makes an angle
positive x axis, and the second force has a magnitude
F2 = 10 N and is applied in a direction that makes an angle
B = 45° with the negative x axis.
FR
a = 30° with the
F2
(a) Calculate the scalar components of F, and F2 along the x and
y directions.
(b) Express Fı and F2 in terms of their components.
(c) Determine an expression for the resultant force vector, FR-
(d) Calculate the magnitude of the resultant force vector.
(e) Calculate angle 0 that FR makes with the positive y axis.
Fig. 2.17 Problem 2.3

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