question_answer

A heavy particle hanging from a fixed point by a light inextensible string of length \['\ell '\] is projected horizontally with speed\[\sqrt{g\ell }\], the speed of the particle is \[\sqrt{\frac{g\ell }{a}}\]and the inclination of the string to the vertical is \[{{\cos }^{-1}}\frac{2}{b}\]at the instant of the motion when the tension in the string is equal to the weight of the particle. Determine\[\frac{a}{b}\].

Answer:

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