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 3eTH
Write expressions for the tension in strings P and R in terms of
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An object moves on a flat surface with an acceleration of constant magnitude. If the acceleration is always perpendicular plane and measures the angle at which the block begins to slide. He reports that the coefficient of static friction was 0.25 in his experiments. At what angle did Leonardo’s blocks begin to slide? Show your work and explain.
The data points you put on the plot (F vs. x) should form a straight line. The slope of this line is the spring’s force constant (k)! Draw the best-fit line on your plot, and calculate its slope to get the force constant, in units of Newtons per meter (N/m). Remember that the slope of a line is equal to the rise over the run. Show your calculation, and round to 3 sig figs.
A tie of uniform width is laid out on a table, with a fraction of its length hanging over the edge. Initially, the tie is at rest. (a) If the fraction hanging from the table is increased, the tie eventually slides to the ground. Explain. (b) What is the coefficient of static friction between the tie and the table if the tie begins to slide when one-fourth of its length hangs over the edge? Show your work and explain.
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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- John is sitting with his knee flexed to 90 degrees. The force of the patellar tendon is 5 N. The force of his quad is 10 N. Draw the component vectors and estimate the resultant vectors. Place the patellar tendon vector on the y-axis. Calculate the resultant vector. Show your workarrow_forwardShown to the right s a block of mass m = 38.5 kg resting on a frictionless ramp inclined θ = 52° to the horizontal. The block is held by a spring that is stretched d =5.1 cm after the block. A) Write an equation for the force constant of the spring in terms of the variables from the problem statement (m,d,θ ) Use g for the gravitational constant. B) Calculate the force constant of the spring in newtons per meterarrow_forwardUse the worked example above to help you solve this problem. A block of mass m1 = 1.72 kg, initially moving to the right with a velocity of +3.95 m/s on a frictionless horizontal track, collides with a massless spring attached to a second block of mass m2 = 2.01 kg moving to the left with a velocity of −2.83 m/s. The spring has a spring constant of 6.33 x102 N/m. (a) Determine the velocity of block 2 at the instant when block 1 is moving to the right with a velocity of +3.00 m/s. (Indicate the direction with the sign of your answer.) (b) Find the compression of the spring.arrow_forward
- A string exerts a force of 18 N on a box at an angle of 34 degrees from the horizontal. What is the horizontal component of the force on the box? You must show your work how you determined your result to receive full creditarrow_forwardJill of the Jungle swings on a vine 6.9 m long. What is the tension in the vine if Jill, whose mass is 63 kg, is moving at 2.4 m/s when the vine is vertical? Show your work and explain.arrow_forwardShow your complete solution, including diagram.2. A linear spring of stiffness k is to be designed to atop a 20-Mg railroad car traveling at 8 km/h within 400 mm after impact. Find the smallest value of k that will produce the desired result.arrow_forward
- Show all working explaining detailly each step. Answer a,b & carrow_forwardA spring with a spring constant of 1.7 N/cm is attached to a 3.2 kg mass. If you were to pull and release the mass, what would be the frequency of the system, in Hz? Be clear and show all your work. (handwritten)arrow_forwardA block of mass m = 0.52 kg attached to a spring with force constant 143 N/m is free to move on a frictionless, horizontal surface as in the figure below. The block is released from rest after the spring is stretched a distance A = 0.13 m. Refer to attached Image. (a) At that instant, find the force on the block. (b) At that instant, find its acceleration.arrow_forward
- A rope exerts a force of 25N on a box at an angle of 34 degrees from the horizontal a)what is the horizontal component of the force on the box? B) what is the vertical component of the force on the box? Show your work.arrow_forwardUse the GRAPHICAL METHOD to solve the given problem below: An electric light fixture weighing 15 N hangs from a point C, by two strings AC and BC. The string AC is inclined at 60° to the horizontal and BC at 45° to the horizontal as shown, determine the forces in the strings AC and BC.1. What scale did you use?2. What is the force in string AC?3. What is the force in string BC?arrow_forwardA steel cable lifting a heavy box stretches by ∆L. In order for the cable to stretch by only half of ∆L, by about what factor must its diameter change? Assume the cable is cylindrical. Show your work.arrow_forward
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