1-4 An aircraft-carrier component is loaded as shown. a) For the given two forces acting at a single point, explain how their resultant can be determined, and draw two vector triangles that represent the resultant of these two forces. b) For this aircraft-carrier component, (i) determine the rectangular components of the force FA if FA = 390 N, (ii) determine the magnitude of the force Es knowing that its y component is 250 N, (iii) determine the resultant of EA and Es using parallelogram law if FA = 390 N and FB = 500 N, draw your triangle clearly with all necessary details, confirm your answer using the scalar sum method, (iv) if the resultant R of EA, EB and Ec has the x component given by - 500/ N, determine Ec and R (v) find the reaction at the support O for static equilibrium of this component. c) Modelling this aircraft-carrier joint as a particle, assess the condition such that the joint will be in static equilibrium. Justify your answer. No calculation is required. 93A Figure [b) (i) EA = 150i+ [+ 360j N; (ii) FB = 500 N i.e. FB = -433i+250j N; (iii) FB = 2831 + 610j Ni.e. R= 672 N and 65.1°; (iv) Fc=-217i-79j N, R =- 500i+5311 N; or R = 729 N with 46.7°] Ев Fc P1-4 B 30⁰ y C 70° 12 A FA x

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.48P: The pole OB is subjected to the 6004b force at B. Determine (a) the rectangular components of the...
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1-4 An aircraft-carrier component is loaded as shown.
a) For the given two forces acting at a single point, explain
how their resultant can be determined, and draw two
vector triangles that represent the resultant of these two
forces.
b) For this aircraft-carrier component,
(i) determine the rectangular components of the force EA
if FA = 390 N,
(ii) determine the magnitude of the force Fs knowing that
its y component is 250 N,
(iii) determine the resultant of EA and EB using
parallelogram law if FA = 390 N and FB = 500 N, draw
your triangle clearly with all necessary details, confirm
your answer using the scalar sum method,
(iv) if the resultant R of EA, EB and Ec has the x
component given by - 500/ N, determine Fc and R,
(v) find the reaction at the support O for static equilibrium
of this component.
c) Modelling this aircraft-carrier joint as a particle, assess the
condition such that the joint will be in static equilibrium.
Justify your answer. No calculation is required.
Figure
[b) (i) FA = 150i + 360j N; (ii) FB = 500 N i.e. FB=-433i +250j N; (iii) FB
= 283i+ 610j Ni.e. R= 672 N and 65.1°; (iv) Fc=-217i-79j N, R =-
500j +531j N; or R = 729 N with 46.7°]
FB
Fc
P1-4
B
30º
C
70⁰
12
A
FA
Transcribed Image Text:1-4 An aircraft-carrier component is loaded as shown. a) For the given two forces acting at a single point, explain how their resultant can be determined, and draw two vector triangles that represent the resultant of these two forces. b) For this aircraft-carrier component, (i) determine the rectangular components of the force EA if FA = 390 N, (ii) determine the magnitude of the force Fs knowing that its y component is 250 N, (iii) determine the resultant of EA and EB using parallelogram law if FA = 390 N and FB = 500 N, draw your triangle clearly with all necessary details, confirm your answer using the scalar sum method, (iv) if the resultant R of EA, EB and Ec has the x component given by - 500/ N, determine Fc and R, (v) find the reaction at the support O for static equilibrium of this component. c) Modelling this aircraft-carrier joint as a particle, assess the condition such that the joint will be in static equilibrium. Justify your answer. No calculation is required. Figure [b) (i) FA = 150i + 360j N; (ii) FB = 500 N i.e. FB=-433i +250j N; (iii) FB = 283i+ 610j Ni.e. R= 672 N and 65.1°; (iv) Fc=-217i-79j N, R =- 500j +531j N; or R = 729 N with 46.7°] FB Fc P1-4 B 30º C 70⁰ 12 A FA
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