A graphing calculator is recommended. An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle with the plane, then the magnitude of the force is μW μsin(8) + cos(8) where u is a constant called the coefficient of friction. (a) Find the rate of change of F with respect to 8. dF de F = = 0 = (b) When is this rate of change equal to 0?
A graphing calculator is recommended. An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle with the plane, then the magnitude of the force is μW μsin(8) + cos(8) where u is a constant called the coefficient of friction. (a) Find the rate of change of F with respect to 8. dF de F = = 0 = (b) When is this rate of change equal to 0?
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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Transcribed Image Text:A graphing calculator is recommended.
An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle with the plane, then the magnitude of the force is
μW
μ sin(0) + cos(8)
where u is a constant called the coefficient of friction.
F=
(a) Find the rate of change of F with respect to 8.
dF
de
(b) When is this rate of change equal to 0?
8 =

Transcribed Image Text:(c) If W = 30 lb and μ = 0.7, draw the graph of F as a function of 8.
8 =
42
F
21
21
-42
42
21
A
0.1 0.2 0.3 04 0.5 0.6 0.7 0.8 0.9 1
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
A
Ⓡ
F
21
21
2
21
2
-21
Use the graph to locate the value of 0 for which
dF
de
= 0. (Round your answer to two decimal places.)
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
1
Is the value consistent with your answer to part (b)?
O Yes, the value from the graph is consistent with the value in part (b).
O No, the value from the graph is not consistent with the value in part (b).
Ө
@
O
21
21
নান
2
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
1
Ⓡ
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