Figure Q1a shows two cables attached to a half-ring anchor point as shown in Figure Q1a. Force F1 acts vertically with a force of 2170 N; and F2 acts at an angle 0 relative to the y-axis with a force of 1240 N. y F1

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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A B
FA
m
Figure Q1c
Transcribed Image Text:A B FA m Figure Q1c
Question 1
Figure Q1a shows two cables attached to a half-ring anchor point as shown in Figure Q1a.
Force F1 acts vertically with a force of 2170 N; and F2 acts at an angle 0 relative to the
y-axis with a force of 1240 N.
y
F1
F2
Figure Q1a Cable Anchor Point
a) For Figure Q1a, at what angle 0 must the force F2 (= 1240 N) be applied in order
that the resultant force R of the two forces F1 and F2 has a magnitude of 3100 N?
Give your answer in degrees to 2 decimal places.
b) For Figure Q1a, what is the angle between the resultant force R (=3100 N) and the
y-axis. Give your answer in degrees to 2 decimal places.
c) The pulley system shown in Figure Q1c lifts a mass, m, of 550 kg. Calculate the
force FA necessary to maintain the suspended mass in static equilibrium; and
determine the forces at the ceiling anchor points A and B. Assume frictionless
and weightless pulleys and use g = 9.81 m/s?.
80
DII
DD
F4
F6
F7
F8
F9
F10
E5
Transcribed Image Text:Question 1 Figure Q1a shows two cables attached to a half-ring anchor point as shown in Figure Q1a. Force F1 acts vertically with a force of 2170 N; and F2 acts at an angle 0 relative to the y-axis with a force of 1240 N. y F1 F2 Figure Q1a Cable Anchor Point a) For Figure Q1a, at what angle 0 must the force F2 (= 1240 N) be applied in order that the resultant force R of the two forces F1 and F2 has a magnitude of 3100 N? Give your answer in degrees to 2 decimal places. b) For Figure Q1a, what is the angle between the resultant force R (=3100 N) and the y-axis. Give your answer in degrees to 2 decimal places. c) The pulley system shown in Figure Q1c lifts a mass, m, of 550 kg. Calculate the force FA necessary to maintain the suspended mass in static equilibrium; and determine the forces at the ceiling anchor points A and B. Assume frictionless and weightless pulleys and use g = 9.81 m/s?. 80 DII DD F4 F6 F7 F8 F9 F10 E5
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