A block of mass m is tied to one end of a string of length l, young's modulus Y and $$cross-sectional$$ area A. The block is made to rotate in a horizontal circle of radius l with angular velocity ω in a gravity free space. If elongation of the wire is x, then elastic potential energy stored in the wire is

Question

A block of mass m is tied to one end of a string of length l, young's modulus Y and $$cross-sectional$$ area A. The block is made to rotate in a horizontal circle of radius l with angular velocity ω in a gravity free space. If elongation of the wire is x, then elastic potential energy stored in the wire is

Infinity Learn · Accepted Answer

Centrifugal force acting on the block, $$F=m$$ω$$2l$$.∴ Elongation $$=$$ x∴ Elastic potential energy $$=12F$$.$$x=m$$ω$$2lx2$$

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