A long steel wire of length 'L' and radius ‘r’ is suspended from the ceiling of a room. A sphere of mass 'm' and radius '$$r1$$ ' is attached to the lower end of the wire. the height of the ceiling is (L+2r1+l) . When the sphere is made to oscillate as a pendulum, its lowest point just touches the floor. The velocity of the sphere at the lowest point will be $$($$ L(r1$$ ,l $$) $$)$$

Question

A long steel wire of length 'L' and radius ‘r’ is suspended from the ceiling of a room. A sphere of mass 'm' and radius '$$r1$$ ' is attached to the lower end of the wire. the height of the ceiling is (L+2r1+l) . When the sphere is made to oscillate as a pendulum, its lowest point just touches the floor. The velocity of the sphere at the lowest point will be $$($$ L>>(r1$$ ,l $$) $$)$$

Infinity Learn · Accepted Answer

$$T=yAeL$$ At lowest point, Tension $$T=mv2L+mg$$ $$v2L=yA$$ℓmL−$$gv=(y$$$$π$$$$r2$$ℓm−$$gL)$$

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