(a)
To find: The tension T in the rope and the magnitude of u as function of
(a)
Answer to Problem 108E
Explanation of Solution
Given: A tetherball weighing 1 pounds is called outwards from the pole by a horizontal force u until the rope makes an angle of
First draw FBD of the given diagram.
The horizontal and vertical component of FBD is in equilibrium.
The function of tension in the form of
Domain,
The magnitude of u,
Where,
(b)
To graph: The two functions form
(b)
Answer to Problem 108E
Explanation of Solution
Given: A tetherball weighing 1 pounds is called outwards from the pole by a horizontal force u until the rope makes an angle of
The function of tension in the form of
The function of magnitude of u,
(c)
To compare: The both functions as
(c)
Answer to Problem 108E
Both are increasing functions.
Explanation of Solution
Given: A tetherball weighing 1 pounds is called outwards from the pole by a horizontal force u until the rope makes an angle of
The function of tension in the form of
The function of magnitude of u,
As shown on graph both are increasing as
But the increasing rate of magnitude of u is larger than increasing rate of tension T .
Chapter 6 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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