While cutting a piece of paper, a person exerts the two indicated forces on a paper cutter. Reduce the two forces to an equivalent force-couple system at corner O and then specify the coordinates of the point P in the x-y plane through which the resultant of the two forces passes. The cutting surface is 30" x 30".

While cutting a piece of paper, a person exerts the two indicated forces on a paper cutter. Reduce the two forces to an equivalent force-couple system at corner O and then specify the coordinates of the point P in the x-y plane through which the resultant of the two forces passes. The cutting surface is 30" x 30".

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter12: Electric Current And Related Variables In Engineering

Section12.2: Electrical Circuits And Components

Problem 6BYG

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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

While cutting a piece of paper, a person exerts the two indicated forces on a paper
cutter. Reduce the two forces to an equivalent force-couple system at corner O and
then specify the coordinates of the point P in the x-y plane through which the
resultant of the two forces passes. The cutting surface is 30" x 30".
10 lb
20 lb
14"
10"
x.
2"
6"
Part 1
There are 2 distinct questions here. We will solve the first question now.
Question 1:
Replace the two forces shown by an equivalent force-couple system at point 0.
Find the force part of the force-couple system.
Answer: F =
i +
j+
k) lb

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