1.

The string shown .................

Answer»


SOLUTION :At any instant

`(y-h)+sqrt(x^(2)+h^(2))=l`
`(dy)(dt)+x/sqrt(x^(2)+h^(2)) (dx)/(dt)=0`
`(dy)/(dt)=- x/sqrt(x^(2)+h^(2)) (dx)/(dt)` ...(1)
`(dy)/(dt)=-3/5 v_(A)`
`|v_(B)|=3/5 v_(A)`
Differentiation EQUATION (1)
`|(d^(2)y)/(dt^(2))|=v_(A) [(x(x(dx)/(dt)))/sqrt((x^(2)+h^(2))^(3))+(((dx)/(dt)))/sqrt(x^(2)+h^(2))]`
`|(d^(2) y)/(dt^(2))|=v_(A)^(2) h^(2)/((x^(2)+h^(2))^(3//2))`
`a_(B)=v_(A)^(2) 16/((5)^(3))`
`a_(B)=16/125 v_(A)^(2)`


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