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Dear Nimisha,
: A 4 kg ball on a string is rotated about a circle of radius 10 m. The maximum tension allowed in the string is 52 N. What is the maximum speed of the ball?Solution:
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=> t^2=x^2-1
=> x=sqr rt t^2+1
=> differentiate it twice with respect to time to get the accelaration
=> the ans will be [(t^2+1) - t^2] / [(t^2+1)(sqr rt t^2+1)]
=> now substitute t^2 = x^2-1 to get acc = 1/x^3
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