5-78. The hatch door has a weight of 80 lb and center of gravity at G. If the force F applied to the handle at C has coordinate direction angles of α = 60°, ß = 45°, and y = 60°, determine the magnitude of F needed to hold the door slightly open as shown. If the hinge at A becomes loose from its attachment and is ineffective, what are the x, y, z components of reaction at hinge B? 4 ft 3 ft. z A 2 ft. 3 ft C G B F Probs. 5-77/78

5-78. The hatch door has a weight of 80 lb and center of gravity at G. If the force F applied to the handle at C has coordinate direction angles of α = 60°, ß = 45°, and y = 60°, determine the magnitude of F needed to hold the door slightly open as shown. If the hinge at A becomes loose from its attachment and is ineffective, what are the x, y, z components of reaction at hinge B? 4 ft 3 ft. z A 2 ft. 3 ft C G B F Probs. 5-77/78

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

5-78. The hatch door has a weight of 80 lb and center of
gravity at G. If the force F applied to the handle at C has
coordinate direction angles of a = 60°, ß = 45°, and
y = 60°, determine the magnitude of F needed to hold the
door slightly open as shown. If the hinge at A becomes loose
from its attachment and is ineffective, what are the x, y, z
components of reaction at hinge B?
2
4 ft
3 ft.
2 ft
3 ft
C
B
X
F
Probs. 5-77/78

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Step 1: Draw the FBD for the hatch door.

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Step 2: Write the given values and write the position vectors.

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Step 3: Write the expression for the moment about the B.

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Step 4: Apply force equilibrium and calculate the reactions at B.

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