If another force, Q must be added to the system such that the resultant of the six forces, R is 2 kips, calculate the magnitude and direction of the maximum Q. TNT2.1 kipş162 lb12:54 PMThe resultant S of the five forces has a magnitude of 3.7 kips and lies on the fourthquadrant. Calculate the components of the 870-lb-force, along the n-axis (directed20° N of E) and t-axis (directed 50° W of N). Also, determine the magnitude of theforce F, in lb, and the angle of S, 0, in degree, with respect to the x-axis. If anotherforce, Q must be added to the system such that the resultant of the six forces, R is 2kips, calculate the magnitude and direction of the maximum Q.36°523 lb18°7°O15°870 lb[.F√x52%X×Do

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If another force, Q must be added to the system such that the resultant of the six forces, R is 2 kips, calculate the magnitude and direction of the maximum Q.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

If another force, Q must be added to the system such that the resultant of the six forces, R is 2 kips, calculate the magnitude and direction of the maximum Q.

TNT
2.1 kipş
162 lb
12:54 PM
The resultant S of the five forces has a magnitude of 3.7 kips and lies on the fourth
quadrant. Calculate the components of the 870-lb-force, along the n-axis (directed
20° N of E) and t-axis (directed 50° W of N). Also, determine the magnitude of the
force F, in lb, and the angle of S, 0, in degree, with respect to the x-axis. If another
force, Q must be added to the system such that the resultant of the six forces, R is 2
kips, calculate the magnitude and direction of the maximum Q.
36°
523 lb
18°
7°
O
15°
870 lb
[.
F
√x
52%
X
×
Do

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