Asked by Mike
The two ropes attached to the hook in the figure below are pulled on with forces of F1 = 150 N and F2 = 300 N. What size single force acting in what direction would produce the same effect?
F1 45 Degrees
F2 30 Degrees
F1 45 Degrees
F2 30 Degrees
Answers
Answered by
Henry
F1 = 150 N. @ 45 Deg.
F2 = 300 N. @ 30 Deg.
X = hor. = 150*cos45+300*cos30 = 366 N.
Y = ver. = 150*sin45+300*sin30= 256 N.
tanA=Y/X = 256/366 = 0.6996,
A = 35 Deg.
F = X/cosA = 366/cos35=447 N. @ 35 Deg.
F2 = 300 N. @ 30 Deg.
X = hor. = 150*cos45+300*cos30 = 366 N.
Y = ver. = 150*sin45+300*sin30= 256 N.
tanA=Y/X = 256/366 = 0.6996,
A = 35 Deg.
F = X/cosA = 366/cos35=447 N. @ 35 Deg.
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