College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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L
A
B
A
m
m
q
9
Two point charges (each of mass m and charge q),A and B, are suspended by very thin threads as shown above.
a. Which of the diagrams below represents the free body diagram for object A (Here is FBA is the electrostatic force exerted by object B on object A, WA is the weight of object A, TA is the string tension, and N is the normal force)?
O
O
O
W
FBA
YA
ap
FBA
WA
TA
TA
O None of the above.
y
I
1.
FBA
X
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Transcribed Image Text:L A B A m m q 9 Two point charges (each of mass m and charge q),A and B, are suspended by very thin threads as shown above. a. Which of the diagrams below represents the free body diagram for object A (Here is FBA is the electrostatic force exerted by object B on object A, WA is the weight of object A, TA is the string tension, and N is the normal force)? O O O W FBA YA ap FBA WA TA TA O None of the above. y I 1. FBA X
b. Assume that the system is in equilibrium. The x and y components of Newton's second law for object A can be written as:
Ox: TA tan 8- FBA = 0
Y: TA - WA = 0
Ox: TA FBA = 0
Ox: TA sin 8- FBA = 0
Ox: TA COS 8- FBA = 0
Ox: TA cos 0+ FBA = 0
Submit Answer Tries 0/1
Y: TAWA = 0
y: TA cOS - WA = 0
y: TA sin 8-WA = 0
y: TA sin 8- WA = 0
c. Trying to find the angle 8 for the equilibrium position is difficult for the general case. The math, however, becomes simpler if the equilibrium angle is small (i.e. making the small angle approximation). Explain how the small angle approximation can be used in this problem. Using this approximation derive a formula that gives the equilibrium angle <m>0 as a function of the charges q, the length of the string L, the
mass of the object m and, if needed one or more known constants.
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Transcribed Image Text:b. Assume that the system is in equilibrium. The x and y components of Newton's second law for object A can be written as: Ox: TA tan 8- FBA = 0 Y: TA - WA = 0 Ox: TA FBA = 0 Ox: TA sin 8- FBA = 0 Ox: TA COS 8- FBA = 0 Ox: TA cos 0+ FBA = 0 Submit Answer Tries 0/1 Y: TAWA = 0 y: TA cOS - WA = 0 y: TA sin 8-WA = 0 y: TA sin 8- WA = 0 c. Trying to find the angle 8 for the equilibrium position is difficult for the general case. The math, however, becomes simpler if the equilibrium angle is small (i.e. making the small angle approximation). Explain how the small angle approximation can be used in this problem. Using this approximation derive a formula that gives the equilibrium angle <m>0 as a function of the charges q, the length of the string L, the mass of the object m and, if needed one or more known constants.
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