A small block slides with velocity v0 = 0.5gr on the horizontal frictionless surface as shown in the fig. The blockleaves the surface at point C. The angle θ in the figure is:
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a
cos-1 49
b
cos-1 34
c
cos-114
d
cos-145
answer is B.
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Detailed Solution
At point C: mg cos θ -N =mv2r(when block leaves the surface normal force becomes zero, so putting N = 0) ⇒g cos θ = v2rv2 = v20+2gh, h = r - r cos θgr cos θ = (0.5gr)2+ 2g(r-r cos θ)⇒cos θ = 14+2-2 cos θ ⇒ cos θ = 34
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A small block slides with velocity v0 = 0.5gr on the horizontal frictionless surface as shown in the fig. The blockleaves the surface at point C. The angle θ in the figure is: