Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 16.1, Problem 1bTH
How do the forces exerted on the book in this case compare to the forces exerted on the book when the string is not present? List any forces that are the same (i.e., same type of force, same direction, and same magnitude) in both cases. Make a separate list of forces that change (or are not present) when the string is pulled.
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Calculating Net Force
Two forces act on an object:
1) a force of magnitude F₁ and direction 0₁
2) a force of magnitude F2 and direction 02
The net force on the object has a magnitude of Fnet and a direction of Onet.
Solution:
Forces must be added in component form (x and y separately):
Fnet,x=F₁ cos 0₁ + F₂ cos 0₂ = Fnet CoS Onet
Fnet.y
Fnet sin net
The 2 equations above have 6 variables. So if 4 variables are given, the
equations can be solved.
Tip: Plug in decimals for sines/cosines of known angles.
=
· F₁ sin 0₁ + F2 sin 0₂
=
3
4
F₁
184N
305.6
F₁
N
Type your answer...
0₁
170⁰
0₁
156⁰
F₂
349N
F₂
336N
02
289⁰
02
301⁰
Fnet
N
Onet
244⁰
--DO
Vector Addition of Nonperpendicular Forces
Problem:
1. A force of 40N and a force of 60 N act concurrently on a point P. The 60
n force acts in the direction of due east. The 40 n force acts in the
direction 60° north of east. What is the magnitude and direction of their
resultant?
2. A 100 N force and a 50 N force act on a point P. The 100 n force acts due
north. The 50 N force acts due east. What is the magnitude and
direction of the resultant force?
A block with a mass of m=21 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x direction with a magnitude of F1. The second has a magnitude of F2 and acts on the body at an angle 0=18 degrees measured from horizontal. a) Draw a free body diagram for this block by adding forces assuming it is in static equilibrium. b) write an expression for the component of net force Fnet, x, in the direction in terms of variables given in the problem statement.
Chapter 16 Solutions
Tutorials in Introductory Physics
Ch. 16.1 - Draw a freebody diagram for the book. Label each...Ch. 16.1 - How do the forces exerted on the book in this case...Ch. 16.1 - Consider the following statement made by a student...Ch. 16.1 - Consider a book on top of a level table while the...Ch. 16.1 - Review your answer to part a. In addition, reread...Ch. 16.1 - In the spaces below, draw a free-body diagram for...Ch. 16.1 - Identify all the Newton’s third law...Ch. 16.1 - Rank, from largest to smallest, the magnitudes of...Ch. 16.1 - Draw and label a freebody diagram for system S12 .Ch. 16.1 - Compare the forces that appear on your free-body...
Ch. 16.1 - Let C represent the system consisting of the whole...Ch. 16.1 - A block is at rest on an incline as shown below at...Ch. 16.1 - A block is at rest on an incline as shown below at...Ch. 16.1 - A block is at rest on an incline as shown below at...Ch. 16.1 - Draw a free-body diagram for the book. Label the...Ch. 16.1 - For each force that appears on your free-body...Ch. 16.2 - In the spaces provided draw and label separate...Ch. 16.2 - Rank the magnitudes of all the horizontal forces...Ch. 16.2 - Are any of the forces that you drew for instant 1...Ch. 16.2 - Are any of the forces that you drew for instant 1...Ch. 16.2 - Two creates, A and B, are in an elevator as shown....Ch. 16.2 - As the elevator approach its destination, its...Ch. 16.2 - Prob. 3aTHCh. 16.2 - The vector representing the acceleration systems A...Ch. 16.2 - The vector representing the net force on system A...Ch. 16.2 - The vector representing the frictional force on...Ch. 16.2 - Prob. 4bTHCh. 16.2 - Prob. 4cTHCh. 16.2 - Prob. 4dTHCh. 16.2 - Prob. 5aTHCh. 16.2 - Using only the forces in your free-body diagram...Ch. 16.2 - Using only the forces in your free-body diagrams...Ch. 16.2 - Suppose the friction between the two blocks is...Ch. 16.3 - Draw an arrow to indicate the direction of the...Ch. 16.3 - Draw an arrow to indicate the direction of force...Ch. 16.3 - Draw and label a free-body diagram for the block...Ch. 16.3 - Prob. 2THCh. 16.3 - Describe the motion of each of the systems A, B,...Ch. 16.3 - Draw vectors below to represent the acceleration...Ch. 16.3 - Draw and label separate freebody diagrams for...Ch. 16.3 - Rank the magnitudes of the net forces on systems...Ch. 16.3 - Write expressions for the tension in strings P and...
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