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 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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string 2
45° 60⁰
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Block 1, of mass m1, is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2, as shown. Assume that the blocks accelerate as shown with an acceleration of magnitude a and that the coefficient of kinetic friction between block 2 and the plane is μ.
Find the ratio of the masses m1/m2.
Express your answer in terms of some or all of the variables a, μ, and θ, as well as the magnitude of the free-fall acceleration g.
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?
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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- An athlete pulls box E using an inextensible rope P while being resisted by another inextensible rope S. Let P be the tension force on rope P and S be the tension force on rope S. Consider particle analysis involving only forces P and S. The same athlete now pulls another box E of mass 63kg up an incline. The coefficients of friction between the box and the incline are us=0.32 and µk=0.22. Consider particle analysis of the instant when P = 635N, 0 = 10° and a = 29°. Use the indicated coordinate axes. P 4. Which of the following is closest to the friction force as the box moves up the incline? Hint: the normal force between the box and the incline is N=401.9N. 88.4 N i -125.8 N i -88.4N i -493 N iarrow_forwardAn athlete pulls box E using an inextensible rope P while being resisted by another inextensible rope S. Let P be the tension force on rope P and S be the tension force on rope S. Consider particle analysis involving only forces P and S. The same athlete now pulls another box E of mass 63kg up an incline. The coefficients of friction between the box and the incline are us=0.32 and µk=0.22. Consider particle analysis of the instant when P = 635N, 0 = 10° and a = 29°. Use the indicated coordinate axes. P 3. Which of the following is closest to the magnitude of the component of the weight PARALLEL to the incline - i.e., along x-axis? 62.0 10.94N 608N 107.3Narrow_forwardAn athlete pulls box E using an inextensible rope P while being resisted by another inextensible rope S. Let P be the tension force on rope P and S be the tension force on rope S. Consider particle analysis involving only forces P and S. The same athlete now pulls another box E of mass 63kg up an incline. The coefficients of friction between the box and the incline are us=0.32 and µk=0.22. Consider particle analysis of the instant when P = 635N, 0 = 10° and a = 29°. Use the indicated coordinate axes. P 5. Which of the following is closest to the resultant of the friction force f and normal force N? 636N, 39.2deg CW from -x 422N, 72.3deg cW from -x 422 N, 77.6deg CCW from +x 411N, 77.6deg CW from -xarrow_forward
- Draw a free-body diagram for block A. The figure shows a block (mass ma) on a smooth horizontal surface, connected by a thin cord that passes over a pulley to a second block (mass mB), which hangs vertically. Ignore friction and the masses of the pulley and cord. (Figure 1) Draw the vectors starting at the black dots. The location and orientation of the vectors will be graded. The exact length of your vectors will not be graded. No elements selected Select the elements from the list and add them to the canvas setting the appropriate attributes. Submit Request Answer Figure 1 of 1 Part B Draw a free-body diagram for block B. MA Draw the vectors starting at the black dots. The location and orientation of the vectors will be graded. The exact length of your vectors will not be graded. MB No elements selectedarrow_forwardTwo crates connected by a rope lie on a horizontal surface (Figure 1). Crate A has mass mA and crate B has mass mB. The coefficient of kinetic friction between each crate and the surface is μk. The crates are pulled to the right at constant velocity by a horizontal force F. In terms of mA, mB, and μk, calculate the magnitude of the force F. Express your answer in terms of some or all of the variables mA, mB, μk, and acceleration due to gravity g. In terms of mA, mB, and μk, calculate the tension in the rope connecting the blocks. Include the free-body diagram or diagrams you used to determine each answer.arrow_forwardExample 2.9. A horizontal line PQRS is 12 m long, where PQ = QR = RS = 4 m. Forces of 1000 N, 1500 N, 1000 N and 500 N act at P, Q, R and S respectively with downward direction. The lines of action of these forces make angles of 90°, 60°, 45° and 30° respectively with PS. Find the magnitude, direction and position of the resultant force. Solution The System of the given forces is shoun in Fig 27arrow_forward
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