Problem 9: Hanging from the ceiling over a baby bed, well out of baby's reach, is a string with plastic shapes, as shown here. The string is taut (there is no slack), as shown by the straight segments. Each plastic shape has the same mass m, and they are equally spaced by a distance d, as shown. The angles labeled 0 describe the angle formed by the the string and the ceiling at each end. The center length of sting is horizontal. The remaining two segments each form an angle with the horizontal labeled ø. Let T1 be the tension in the leftmost section of the string, T2 be the tension in the section adjacent to it, and T3 be the tension in the horizontal segment. d d d Part (a) Write an expression for T in terms of m, g, and 0. Expression : T1=. Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(0), cotan(0), sin(a), sin(0), tan(0), fß, y, 0, d, g, h, m, n, P Part (b) Write an expression for T2 in terms of m, g, and 0. Expression: T =, Select from the variables below to write your expression. Note that all variables may not be required. c0tan(0), cos(a), cos(0), sin(a), sin(0), tan(0), ß, y, 0, d, g, h, m, n, P Part (c) Write an expression for T3 in terms of m, g, and 0. Expression : T3 = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(0), cotan(0), sin(a), sin(0), tan(0), ß. y, 0, d, g, h, m, n, P Part (d) Write an expression for cosø in terms of 0. Expression : cosø = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(0), cotan(0), sin(a), sin(0), tan(0), ß, Y, 0, d, g, h, n, P, q Part (e) Write an expression for the distance x in terms of d and 6. Expression : Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(0), cotan(0), sin(a), sin(0), tan(0), ß, y, 0, d, g, h, n, P, q
Problem 9: Hanging from the ceiling over a baby bed, well out of baby's reach, is a string with plastic shapes, as shown here. The string is taut (there is no slack), as shown by the straight segments. Each plastic shape has the same mass m, and they are equally spaced by a distance d, as shown. The angles labeled 0 describe the angle formed by the the string and the ceiling at each end. The center length of sting is horizontal. The remaining two segments each form an angle with the horizontal labeled ø. Let T1 be the tension in the leftmost section of the string, T2 be the tension in the section adjacent to it, and T3 be the tension in the horizontal segment. d d d Part (a) Write an expression for T in terms of m, g, and 0. Expression : T1=. Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(0), cotan(0), sin(a), sin(0), tan(0), fß, y, 0, d, g, h, m, n, P Part (b) Write an expression for T2 in terms of m, g, and 0. Expression: T =, Select from the variables below to write your expression. Note that all variables may not be required. c0tan(0), cos(a), cos(0), sin(a), sin(0), tan(0), ß, y, 0, d, g, h, m, n, P Part (c) Write an expression for T3 in terms of m, g, and 0. Expression : T3 = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(0), cotan(0), sin(a), sin(0), tan(0), ß. y, 0, d, g, h, m, n, P Part (d) Write an expression for cosø in terms of 0. Expression : cosø = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(0), cotan(0), sin(a), sin(0), tan(0), ß, Y, 0, d, g, h, n, P, q Part (e) Write an expression for the distance x in terms of d and 6. Expression : Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(0), cotan(0), sin(a), sin(0), tan(0), ß, y, 0, d, g, h, n, P, q
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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Forces & Motion Q9. Please answer and explain step by step and reasoning.
Transcribed Image Text:Problem 9: Hanging from the ceiling over a baby bed, well out of baby's reach, is a
string with plastic shapes, as shown here. The string is taut (there is no slack), as
shown by the straight segments. Each plastic shape has the same mass m, and they are
equally spaced by a distance d, as shown. The angles labeled 0 describe the angle
formed by the the string and the ceiling at each end. The center length of sting is
horizontal. The remaining two segments each form an angle with the horizontal
labeled ø. Let T¡ be the tension in the leftmost section of the string, T, be the tension
in the section adjacent to it, and T, be the tension in the horizontal segment.
d
d
d
de
Part (a) Write an expression for T in terms of m, g, and 0.
Expression :
T1=
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(0), cotan(0), sin(a), sin(0), tan(0), ß, y, 0, d, g, h, m, n, P
Part (b) Write an expression for T2 in terms of m, g, and 0 .
Expression :
T2 =
Select from the variables below to write your expression. Note that all variables may not be required.
cotan(0), cos(a), cos(0), sin(a), sin(0), tan(0), ß, y, 0, d, g, h, m, n, P
Part (c) Write an expression for T3 in terms of m, g, and 0 .
Expression :
T3 =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(0), cotan(0), sin(a), sin(0), tan(0), B, y, 0, d, g, h, m, n, P
Part (d) Write an expression for cosø in terms of 0.
Expression :
cosø =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(0), cotan(0), sin(a), sin(0), tan(0), ß, Y, 0, d, g, h, n, P, q
Part (e) Write an expression for the distance x in terms of d and 0.
Expression :
x =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(0), cotan(6), sin(a), sin(0), tan(8), ß, y, O, d, g, h, n, P, q
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