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Q.

A block of mass m = 1kg is placed on a frictionless horizontal surface. One end of a massless string of length 0.8 m is connected to the block. The string is straight and the other end of the string is moved vertically up with constant velocity v0. When the string makes an angle θ=300 with the horizontal surface the block leaves the surface. Find the speed v0 (in m/s) (given g=10 m/s2)

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answer is 3.

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Detailed Solution

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v=v0tanθ a=v0sec2θdθdt y=lsinθ v0=lcosθdθdt a=v02lsec3θ Tcosθ=ma Tsinθ=mg atanθ=g V02lsec3θtanθ=g V02=gl338×3 V0=3

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