College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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As shown above, a bead is at the end of a string and moves in a horizontal circle with a constant speed of 1.43 m/s. The length of the string, L, is 185 cm and the mass of the bead is
27.0 g. The angle, 0, is known to be 19.0°. As outlined below, use two different approaches to find the tension, T, of the string. Assume that the air resistance is negligible.
Although this is a multiple-choice question that you will answer on Bb and I will not be collecting the details of your work, I urge you to follow the steps outlined below to solve it. We will
do the FBD of the bead together in class before this problem is due. Hint: be careful with your units.
(a) Use the GFS method to show and explain each step of your work.
(b) Draw a sketch of the bead. Next, clearly draw and label the FBD of the bead, showing all the external forces that are acting on it. Each external force must be represented by an
arrow that is properly labeled. Be sure to show explicitly the x and y coordinate system you will use. We will do this part of the problem together in class.
(c) Clearly and neatly write Newton's standard Second Law equation in the x direction. Next, simplify it using the Given information and then solve for the tension, T, to two significant
figures (round up only at the very end).
(d) To check your work, clearly and neatly write Newton's standard Second Law equation in the y direction. Next, simplify it using the Given information and then solve for the tension, T,
to two significant figures (round up only at the very end). If you have solved this problem correctly, your answers for T in (c) and (d) should be the same to two significant figures.
0.28 N
0.23 N
0.18 N
0.31 N
0.10 N
Transcribed Image Text:As shown above, a bead is at the end of a string and moves in a horizontal circle with a constant speed of 1.43 m/s. The length of the string, L, is 185 cm and the mass of the bead is 27.0 g. The angle, 0, is known to be 19.0°. As outlined below, use two different approaches to find the tension, T, of the string. Assume that the air resistance is negligible. Although this is a multiple-choice question that you will answer on Bb and I will not be collecting the details of your work, I urge you to follow the steps outlined below to solve it. We will do the FBD of the bead together in class before this problem is due. Hint: be careful with your units. (a) Use the GFS method to show and explain each step of your work. (b) Draw a sketch of the bead. Next, clearly draw and label the FBD of the bead, showing all the external forces that are acting on it. Each external force must be represented by an arrow that is properly labeled. Be sure to show explicitly the x and y coordinate system you will use. We will do this part of the problem together in class. (c) Clearly and neatly write Newton's standard Second Law equation in the x direction. Next, simplify it using the Given information and then solve for the tension, T, to two significant figures (round up only at the very end). (d) To check your work, clearly and neatly write Newton's standard Second Law equation in the y direction. Next, simplify it using the Given information and then solve for the tension, T, to two significant figures (round up only at the very end). If you have solved this problem correctly, your answers for T in (c) and (d) should be the same to two significant figures. 0.28 N 0.23 N 0.18 N 0.31 N 0.10 N
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