Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 16.3, Problem 2TH
To determine
To examine and explain the
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A particle, which remains at rest, is acted on by three forces, P, Q and R, and no others, as shown in the diagram attached.
The force P acts horizontally to the left, the force Q acts vertically upwards and the force R acts downwards and to the right at an angle of 30◦ to the horizontal. The magnitude of P is 52 N. Let the magnitudes of Q and R in newtons be Q and R respectively.
Take the Cartesian unit vectors i and j to be in the opposite direction to P and in the same direction as Q, respectively.
a) Find expressions for the component forms of the three forces P, Q and R.
b) Hence or otherwise find Q to two significant figures.
A skier slides straight down an incline of 25 degrees without using her poles. The slope itself is 96 meters long, and the skier starts from rest at the top.
What would the velocity of the skier be at the bottom of the incline if friction can be neglected?
What would your answer be to the previous question if the coefficient of kinetic friction between the skis and the snow is 0.13 on the incline?
Upon reaching the bottom of the incline in part b, she reaches a flat portion, and decides to just let friction slow her to a stop. How far does the skier travel along the horizontal portion before coming to a stop, if the coefficient of kinetic friction is 0.28 on the flat portion?
A block of mass m is hanging by two strings of negligible mass as shown in the figure.
String 1 is at an angle of 60° with the horizontal and string 2 at an angle of 45° with
respect to the horizontal. Find the magnitude of the force of tension in strings 1 and 2.
Express your answers in terms of m and g.
We recommend entering the exact value of trigonometric functions rather than their
decimal approximations. For example, you could enter:
T₁
=
●
●
●
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input sqrt(3)/2 for cos 30° or sin 60°
input 1/2 for sin 30° or cos 60°
input sqrt(2)/2 for sin 45° or cos 45°
T₂ =
=
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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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