wc = 6kN/m WB = 4 kN/m x WA = 1 kN/m 3 m -3 m² -0.4m Z A blade of the main rotor of a hovering helicopter is subjected to the y direction distributed forces shown, where values are known at points A, B, and C. Determine the constants a, b, and c so that the quadratic polynomial, ax2 + bx + c, describes this loading. Using this polynomial, determine the total force produced by this distribution and the x position of its line of action. Use Simpson's rule to find the x-position of the line of action, then solve for the total force

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.17P
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 A blade of the main rotor of a hovering helicopter is subjected to the y direction distributed forces shown, where values are known at points A, B, and C. Determine the constants a, b, and c so that the quadratic polynomial, ax2 + bx + c, describes this loading. Using this polynomial, determine the total force produced by this distribution and the x position of its line of action.

Use Simpson’s rule to find the x-position of the line of action, then solve for the total force

wc = 6kN/m
WB = 4 kN/m
WA = 1 kN/m
3 m²
-3 m²
0.4m
Z
A blade of the main rotor of a hovering helicopter is subjected to the y direction
distributed forces shown, where values are known at points A, B, and C. Determine the
constants a, b, and c so that the quadratic polynomial, ax2 + bx + c, describes this
loading. Using this polynomial, determine the total force produced by this distribution
and the x position of its line of action.
Use Simpson's rule to find the x-position of the line of action, then solve for the total
force
Transcribed Image Text:wc = 6kN/m WB = 4 kN/m WA = 1 kN/m 3 m² -3 m² 0.4m Z A blade of the main rotor of a hovering helicopter is subjected to the y direction distributed forces shown, where values are known at points A, B, and C. Determine the constants a, b, and c so that the quadratic polynomial, ax2 + bx + c, describes this loading. Using this polynomial, determine the total force produced by this distribution and the x position of its line of action. Use Simpson's rule to find the x-position of the line of action, then solve for the total force
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