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 1cTH
Draw and label a free-body diagram for the block for each of the four motions. Indicate the relative magnitudes of the forces by the relative lengths of the force vectors. Draw all diagrams to the same scale.
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The diagram below shows an object of mass m= 20kg being acted upon by a force F=50N at an angle of θ=30o. The coefficient of kinetic friction between the object and the surface is 0.100.
a.Draw a Free Body diagram for the object. Be sure to show all forces as well as the reference x,y axis. and Using Newton’s 2nd law, write the force equations for both the x and the y directions. Write these equations in terms of the letters m, F, θ, FN, g, f (little f stands for the friction force).
X-direction: _______________________________________________________________
Y-direction:________________________________________________________________
b.Solve for the Normal Force
c .Use your answer from part b to find the frictional force.
d .Solve for the acceleration of the object.
e.If this object was originally moving at 4 m/s, how fast would it be moving after 8 seconds?
f .How far will…
Draw a free body diagram (fbd) for m1 for the case where it is released from rest. Use the notation shown in class, F 2on 1. Draw your force vectors to scale so you can tell the direction of m1’s acceleration is to the right. Clearly indicate which direction you are choosing as positive for the horizontal and vertical directions. Write out the two equations from Newton’s Second Law (F = ma), one for each direction. Denote your x-equation as equation (1) and your y-equation as equation (2). No need to solve for anything just yet.
Use your fbd diagram of m1 to determine which force and which object is trying to horizontally accelerate m1. Which force and which object is trying to prevent this acceleration? Which of these two forces is larger?
Draw a fbd for m2. Clearly indicate which direction you are choosing as positive for the vertical direction. Also be sure that the force vector arrows are drawn to scale so that you can tell that m2 is accelerating down. Use Newton’s Second Law to…
The figure shows a system in equilibrium, composed of three bodies connected
through an ideal rope that passes through a pair of pulleys, also ideal. Consider
that there is no friction in the entire system. Draw the Free Body Diagram (FBD) of
each body and write the system of equations that describe the system.
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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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- I need help with this physics problem and I don’t know what the free body diagram would look like for this problemarrow_forwardA block of mass m is on an inclined ramp. The ramp makes anangle θ with respect to the horizontal, as shown. The ramp hasfriction, with coefficient of kinetic friction μk and static friction μs.This experiment takes place on earth. The block has an initial speed of v up the ramp. It travels adistance d along the ramp before it stops Draw a free body diagram clearly showing all the forces acting on the block while it is movingup the ramp.b) Calculate the work done by the Normal force as the block travels the distance d.Is it positive, negative, or zero?c) Calculate the work done by the Weight force as the block travels the distance d.Is it positive, negative, or zero?d) Calculate the work done by the Friction force as the block travels the distance d.Is it positive, negative, or zero?e) If the block comes to rest, how far has it travelled?Use the work-energy principle and your results of parts b), c), and d).arrow_forwardA ball of mass m is conncted to a string of length and swings in a vertical circular path. a) Draw the free body diagram of the block at the instant shown in the figure. b) If the block has the speed v at the bottom of the path, find the tension in the string at the top of the path. Present your answer sbmolically.arrow_forward
- Draw free-body diagrams for these situations. Be sure to draw your coordinate axes and draw separate FBDs for everything in the system and to write out the ? F = m a equations in all relevant dimensions. A locomotive pulls a train of 3 boxcars up a hill at angle ? up from horizontal . Draw FBDs for the locomotive and each of the boxcars.arrow_forwardI need help with this question. I also don’t know how to draw the free body diagram for this problemarrow_forwardDraw a diagram of the situation and label the givens in the problem: The cart's mass and the hanger's mass. Also label the direction of the cart and hanger's acceleration. Draw two force diagrams. One for the cart and one for the hanger. You can treat the track as frictionless. Remember that the force in the string will be the same throughout the entire string. Then define an x-y coordinate system and find the x and y components of the forces in your diagrams.arrow_forward
- Question 7: Find the maximum force F making angle B with the normal of the inclined plane to keep the block of mass m on the inclined plane of inclination angle 0 at rest as shown in Figure 3. The coefficient of static friction force between the block and the inclined plane is µ. The inclined plane does not move. m Figure 3arrow_forwardPlease help me find the exact free body diagram and solution for this problemarrow_forwardHi, can you help me solve this problem and draw a simple free body diagram? I will rate thank you!arrow_forward
- A block with a mass of m = 48 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 = 10.5 N. The second has a magnitude of F2 = 21.5 N and acts on the body at an angle θ = 12° measured from horizontal, as shown. 1).Please draw the correct free body diagram 2).Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement. 3).Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2, g, and the other variables of the problem. Assume that the surface it rests on is rigid. 4).arrow_forwardPlease explain the solutions clearly and include a free body diagramarrow_forwardDraw accurate free body diagrams showing all forces acting on the block. Draw these forces (using an arrow) in the rectangular coordinate. Label the forces using the following symbols: W- weight, T- tension, N- Normal force, f- friction For an inclined plane, consider the plane as the X-axis. The first picture is done as an example.arrow_forward
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