A particle slides from rest from a top of vertical circle of radius ‘r’ along a smooth chord making an angle 'β' with vertical. Then the time of descent is
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a
Least for β=0o
b
Maximum for β=45o
c
Least for β=45o
d
Independent of β
answer is D.
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Detailed Solution
Along chord AC U=0,a=gcosβ AC=ABcosβ=2rcosβ From S=Ut+12at2 2rcosβ=0+12gcosβt2 ⇒t=2rg t is independent of β