An engineer developed the following solution to the following problem. Verify hiscalculations. Is the given final answer "true" or "false"?Two forces F₁ and F2 act on the screw eye. If theirlines of action are at an angle apart and the magnitudeof each force is F₁ = F₂ = F, determine the magnitude ofthe resultant force FR and the angle between FR and F₁. FsinFsin(8-)sin(8-) sin8-9 = $F₁ = √√(F)² + (F)²-2(F)(F) cos(180°)Since cos(180°-8)= -coseFR = F(√2)√1+ cos 8Since cos(Thencos() =AnsF₁ = 2F cos(COS(2)1+ coseF180-0F(a)180-0FRFe-p

Given-Information:- F1 = F2 = F To-Determine:- 1. Magnitude of Resultant Force FR2. Angle Between…

Two forces F₁ and F2 act on the screw eye. If their lines of action are at an angle 9 apart and the magnitude of each force is F₁ = F₂ = F, determine the magnitude of the resultant force FD and the angle between FD and F₁.

Two forces F₁ and F2 act on the screw eye. If their lines of action are at an angle 9 apart and the magnitude of each force is F₁ = F₂ = F, determine the magnitude of the resultant force FD and the angle between FD and F₁.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

An engineer developed the following solution to the following problem. Verify his
calculations. Is the given final answer "true" or "false"?
Two forces F₁ and F2 act on the screw eye. If their
lines of action are at an angle apart and the magnitude
of each force is F₁ = F₂ = F, determine the magnitude of
the resultant force FR and the angle between FR and F₁.

F
sin
F
sin(8-)
sin(8-) sin
8-9 = $
F₁ = √√(F)² + (F)²-2(F)(F) cos(180°)
Since cos(180°-8)= -cose
FR = F(√2)√1+ cos 8
Since cos(
Then
cos() =
Ans
F₁ = 2F cos(
COS(2)
1+ cose
F
180-0
F
(a)
180-0
FR
F
e-p

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