SOLUTION: if 300 pounds of face is required to push 1000 pound safe up a ramp, then what is the angle of inclination of the ramp.

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Question 1147860: if 300 pounds of face is required to push 1000 pound safe up a ramp, then what is the angle of inclination of the ramp.

Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
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if 300 pounds of highlight%28cross%28face%29%29 force is required to push 1000 pound safe up a ramp,
then what is the angle of inclination of the ramp.
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    Figure.  The body pulled up on the inclined plane


From this plot, F = sin%28alpha%29%2AWeight.

In your case, 300 = sin%28alpha%29%2A1000.

Hence, sin%28alpha%29 = 300%2F1000 = 0.3,

and alpha%29 = arcsin(0.3) = 0.3947 radians = 17.5 degrees (approximately).

Solved, answered, explained and plotted.

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