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Grade: 12th pass

                        

A skier plans to ski a smooth fixed hemisphere of radius r. He starts from rest from a curved smooth surface of height (R/4). The angle theta at which he leaves the hemisphere is

A skier plans to ski a smooth fixed hemisphere of radius r. He starts from rest from a curved smooth surface of height (R/4). The angle theta at which he leaves the hemisphere is 

one year ago

Answers : (1)

Arun
25768 Points
							
∆h=R/4+R(1–cosθ)
½ mv^2 =mg∆h= mgR/4 {1+4(1–cosθ)}
mv^2/R =  mg (5 − 4 cos θ) /2

mgcosθ–N= mv^2/ R
mgcosθ= mg(5−4cosθ)/ 2
cosθ = 5/6
one year ago
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