Problem 2: The force of magnitude 20-lb is directed from point B to point A, along cable BA. This ensures that the door is held partially open, raising it by an angle of 20 degrees from the xy plane. Carefully looking at the figure, notice that the distance from O to B is 3 ft. For reference, when you find the coordinates of point B, this height of 3 ft will be the hypotenuse. a. Write down the coordinates of points A, B, C and O. b. Express the force along the cable BA as a Cartesian vector. c. Determine the projection of the force along the line joining points O and B. Express this as a Cartesian vector.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter2: Basic Operations With Force Systems
Section: Chapter Questions
Problem 2.80P: The figure shows one-half of a universal coupling known as the Hooke's joint. The coupling is acted...
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Problem 2: The force of magnitude 20-lb is directed from point B to point A, along cable BA. This ensures
that the door is held partially open, raising it by an angle of 20 degrees from the xy plane. Carefully looking
at the figure, notice that the distance from O to B is 3 ft. For reference, when you find the coordinates of
point B, this height of 3 ft will be the hypotenuse.
a. Write down the coordinates of points A, B, C and O.
b. Express the force along the cable BA as a Cartesian vector.
c. Determine the projection of the force along the line joining points O and B. Express this as a Cartesian
vector.
Transcribed Image Text:Problem 2: The force of magnitude 20-lb is directed from point B to point A, along cable BA. This ensures that the door is held partially open, raising it by an angle of 20 degrees from the xy plane. Carefully looking at the figure, notice that the distance from O to B is 3 ft. For reference, when you find the coordinates of point B, this height of 3 ft will be the hypotenuse. a. Write down the coordinates of points A, B, C and O. b. Express the force along the cable BA as a Cartesian vector. c. Determine the projection of the force along the line joining points O and B. Express this as a Cartesian vector.
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