Consider the hatch door in (Figure 1).Figure1 of 1A hatch door is supported by a cable. The door is hinged to a horizontal surface at point 'A' and extends 2 meters upward and rightward from point 'A' to point B, making an acute angle theta with the horizontal. Pulley C is attached to a vertical surface and is located 2 meters directly above point 'A'. The cable connected to the door at point B passes over pulley C and is pulled horizontally to the left by a force P.Part ADetermine the force in the cable as a function of θ, needed to support the 100-kg hatch door.Express your answer in terms of θ.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
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Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...
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Consider the hatch door in (Figure 1).
Figure1 of 1
A hatch door is supported by a cable. The door is hinged to a horizontal surface at point 'A' and extends 2 meters upward and rightward from point 'A' to point B, making an acute angle theta with the horizontal. Pulley C is attached to a vertical surface and is located 2 meters directly above point 'A'. The cable connected to the door at point B passes over pulley C and is pulled horizontally to the left by a force P.
Part A
Determine the force in the cable as a function of θ
, needed to support the 100-kg
 hatch door.
Express your answer in terms of θ
.

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