/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 5 Show two forces acting on an obj... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 5

Show two forces acting on an object at rest. Redraw the diagram, then add a third force that results in a net force of zero. Label the new force \(\vec{F}_{3}\).

Short Answer

Expert verified
The third force \(\vec{F}_{3}\) should be added in the opposite direction to the initial resultant force and must be equal in magnitude to retain the zero net force or equilibrium state.

Step by step solution

01

Illustrate Initial Scenario

First off, draw a diagram with an object. Illustrate two forces \(\vec{F}_{1}\) and \(\vec{F}_{2}\) acting on the object. At this moment, the object is in equilibrium, hence the net force on the object is zero.
02

Calculate Resultant Force

Calculate the resultant force due to \(\vec{F}_{1}\) and \(\vec{F}_{2}\). The resultant force \(\vec{R}\) can be determined using the vector summation of force \(\vec{F}_{1}\) and \(\vec{F}_{2}\). In other words, if \(F_{1}\) and \(F_{2}\) are magnitudes of the forces and \(\theta\) is the angle between them then the magnitude of the resultant \(|\vec{R}|\) is given by Pythagorean theorem \(|\vec{R}|= \sqrt{F_{1}^2 + F_{2}^2 + 2F_{1}F_{2}\cos(\theta)}\).
03

Add Third Force

Introduce the third force \(\vec{F}_{3}\) such that the resultant or net force on the object is still zero. Hence, \(\vec{F}_{3}\) must be equal in magnitude and opposite in direction to the initial resultant force \(\vec{R}\). Add \(\vec{F}_{3}\) to the diagram in the opposite direction of the resultant force.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A skier is sliding down a \(15^{\circ}\) slope. Friction is not negligible. Identify the forces on the skier.

A compact car has a maximum acceleration of \(4.0 \mathrm{m} / \mathrm{s}^{2}\) when it carries only the driver and has a total mass of \(1200 \mathrm{kg}\). What is its maximum acceleration after picking up four passengers and their luggage, adding an additional \(400 \mathrm{kg}\) of mass?

Show two forces acting on an object at rest. Redraw the diagram, then add a third force that results in a net force of zero. Label the new force \(\vec{F}_{3}\).

Describe a situation. For each problem, draw a motion diagram, a force identification diagram, and a freebody diagram. A heavy box is in the back of a truck. The truck is accelerating to the right. Apply your analysis to the box.

Describe a situation. For each problem identify all the forces acting on the object and draw a free-body diagram of the object. You are leaning against a wall.
See all solutions

Recommended explanations on Physics Textbooks

Electromagnetism

Read Explanation

Waves Physics

Read Explanation

Turning Points in Physics

Read Explanation

Astrophysics

Read Explanation

Atoms and Radioactivity

Read Explanation

Linear Momentum

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.