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totallyclone
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Homework Statement
Mike Harris stands at the very top of the sky dome stadium roof to pitch the opening ball for the Blue Jays game. He slips a bit left of centre and slides down along the frictionless roof surface. For what distance, measured along the curve, will he slide before leaving the roof? Assume the roof has a circular cross section of radius 125m.
Homework Equations
FUN=ma
ETi=ETf
a=(mv2)/r
The Attempt at a Solution
I think, at the point before Mike Harris falls off the roof, FN=0
So I wonder if this question would involve centripetal forces because the roof is shaped like a circle.
I have attached my diagram and here's how I decided to tackle the question.
FUN=ma
Fg[itex]\bot[/itex]-FN=(mv2)/r
mgcosθ-0=[m(2gr(1-cosθ))]/r
cosθ=2(1-cosθ)
cosθ=2-2cosθ
cosθ=2/3
θ=48°
I found the angle, don't quite know how to proceed
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