Tom is climbing a 3.0-m-long ladder that leans against a vertical wall, contacting the wall 2.4 m above the ground. His weight of 880 N is a vector pointing vertically downward. (Weight is measured in newtons, abbreviated N.)
What is the magnitude of the component of Tom's weight parallel to the ladder?
What is the magnitude of the component of Tom's weight perpendicular to the ladder?
xpress your answer with the appropriate units.
Tom is climbing a 3.0-m-long ladder that leans against a vertical wall, contacting the wall 2.4 m above the ground.?
2018-01-21 11:00 am
回答 (2)
2018-01-21 11:02 am
I keep looking up at Tom on that ladder and thinking, "My God, he's got a cute @ss," so being so distracted, I just don't know.
2018-01-21 2:06 pm
sin Θ = h/ℓ = 2.4/3.0 = 0.8
cos Θ = √1-0.8^2 = √0.36 = 0.6
weight W = 800 N
W // = W*sin Θ = 800*0.8 = 640 N (weight's component parallel to the ladder)
W _I_ = W*cos Θ = 800*0.6 = 480 N (weight's component perpendicular to the ladder)
cos Θ = √1-0.8^2 = √0.36 = 0.6
weight W = 800 N
W // = W*sin Θ = 800*0.8 = 640 N (weight's component parallel to the ladder)
W _I_ = W*cos Θ = 800*0.6 = 480 N (weight's component perpendicular to the ladder)
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