![College Physics: A Strategic Approach (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780321879721/9780321879721_largeCoverImage.gif)
Concept explainers
An object is acted upon by two (and only two) forces that are of equal magnitude and oppositely directed. Is the object necessarily in static equilibrium?
![Check Mark](/static/check-mark.png)
To confirm: Whether the object is in static equilibrium condition or not.
Answer to Problem 1CQ
The object will not be in static equilibrium condition.
Explanation of Solution
Given data:
An object is acted upon by two forces. The two forces are equal in magnitude and opposite in direction.
The following are the conditions for an object to be in static equilibrium condition.
- The net force in the x-component (horizontal direction) must be zero.
- The net force in the y-component (vertical direction) must be zero.
- The net torque about every point must be zero.
The conditions are expressed mathematically as follows:
Write the expression for static equilibrium condition of the force in the x-component as follows:
Here,
Write the expression for static equilibrium condition of the force in the y-component as follows:
Here,
Write the expression for static equilibrium condition of the torques as follows:
Here,
All the three conditions must be satisfied in order for the object to be in static equilibrium condition.
From the given data, two equal forces are acted upon; the object is in the opposite directions. Therefore, the two forces cancel with each other, and the net force on the object is zero. Even though the net force is zero, the sum of the torques may not be zero.
Refer to Figure 8.1 c in the textbook, the net force on the object is zero, but the net torque is not zero. It leads to the rotational movement of the object. Therefore, the object is not in the static equilibrium condition.
From the analysis, it is clear that the object may not be in static equilibrium condition even though the net force on the object is zero.
Conclusion:
Thus, the object will not be in static equilibrium condition.
Want to see more full solutions like this?
Chapter 8 Solutions
College Physics: A Strategic Approach (3rd Edition)
Additional Science Textbook Solutions
Sears And Zemansky's University Physics With Modern Physics
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Lecture- Tutorials for Introductory Astronomy
Introduction to Electrodynamics
University Physics with Modern Physics (14th Edition)
The Cosmic Perspective (8th Edition)
- An aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is 8.0107N/m2 ?arrow_forwardA wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm above the bottom of the door. The center of mass of the door is at its geometric center, and the weight of the door is 260 N, which is supported equally by both hinges. Find the horizontal force exerted by each hinge on the door.arrow_forwardProblems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a wall with a hinge pin. The other end is supported by a cable making the angles shown in Figure P14.33. Find the tension in the cable. FIGURE P14.33 Problems 33 and 34.arrow_forward
- A 20.0-kg horizontal plank 4.00 in long rests on two supports, one at the left end and a second 1.00 m from the right end. What is the magnitude of the force exerted on the plank by the support near the right end? (a) 32.0 N (b) 45.2 N (c) 112 N (d) 131 N (e) 98.2 Narrow_forwardA brass wire and a steel wire, both of the same length, are extended by 1.0 mm under the same force. Is the cross-sectional radius of the brass wire more, less, or equal to the cross-sectional radius of the steel wire? Explain. Youngs moduli for brass and steel are 1.0 1010 N/m2 and 2.0 1011 N/m2, respectively.arrow_forwardThe two structural members, one of which is in tension and the other in compression, exert the indicated forces on joint O. Determine the magnitude of the resultant R of the two forces and the angle which R makes with the positive x-axis. The angle is measured counterclockwise from the positive x-axis. 5.4 KN 2.5 KN Answers: R = i 0 = i 31° /1 14 sata, 201 57³ KN Oarrow_forward
- Two wires of same length and material but different radii are suspended from a rigid support. Both carry the same load at the lower end. Will in the two wires (a) stress (b) strain and ( c) extension be same or different?arrow_forwardInthe figure, one end of a uniform beam of weight 440 N is hinged to a wall; the other end is supported by a wire that makes angles 8= 26° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam. Hinge (a) Number Units (b) Number Units (c) Number Unitsarrow_forwardA 5 N uniform wooden plank is supported by two posts that are 1.2 m apart. A 4 N load is hung 0.3 m from one post. Find the magnitude of the force exerted by each post. 0.3 m +4 N 5 N 1.2 marrow_forward
- The two structural members, one of which is in tension and the other in compression, exert the indicated forces on joint O. Determine the magnitude of the resultant R of the two forces and the angle which R makes with the positive x-axis. The angle is measured counterclockwise from the positive x-axis. 3.9 KN 1.5 KN Answers: R= i 0= D 34° A/ 10/0 10000 HO J11000 20001 0 65° kN 0 ·xarrow_forwardWhen the lines of action of all reactive forces (support reaction forces) passes through a common point or pass through a common axis, the body cannot stay in equilibrium regardless of the number of supports. True O Falsearrow_forwardA lightweight diving board is supported by two pillars. One is at the end of the board and the other is 1.55 m away. A 75-kg person is standing on the board at such a location that the pillar at the end (pillar #1) of the board exerts a 860-N force downward. Determine the following. (a) distance the person is standing from the end pillar (pillar #1) (b) magnitude of the upward force exerted by the second pillar (pillar #2)arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
![Text book image](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781133939146/9781133939146_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305116399/9781305116399_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)