(a)
To write: an equation of the parabola with its vertex at the origin that models the slope of the beam.
(a)
Answer to Problem 66E
The equation to the parabola is
Explanation of Solution
Given information:
The length of the beam is 36 feet and the deflection of the beam at its center is 2 inches.
Calculation:
Consider a beam
The shape of the deflected beam is parabola opening upwards and with the vertex at the origin; the parabola is in the standard form. So its equation is given by
Now, the coordinates of the points
Therefore, the equation to the parabola is
(b)
To find: the distance from the center of the beam.
(b)
Answer to Problem 66E
The deflection of the beam is
Explanation of Solution
Given information:
The deflection
Calculation:
Maximum deflection of the beam is 2 inch; so the deflection of
Take
Therefore the deflection of the beam is
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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