A-uniform-chain-of-length-L-and-mass-M-is-lying-on-a-smooth-table-and-one-third-of-its-length-is-hanging-vertically-down-over-the-edge-of-the-table-If-g-is-acceleration-due-to-gravity-calculate-work

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Question Number 22624 by Tinkutara last updated on 21/Oct/17

$$\mathrm{A}\mathrm{uniform}\mathrm{chain}\mathrm{of}\mathrm{length}\mathrm{L}\mathrm{and}\mathrm{mass}$$$$\mathrm{M}\mathrm{is}\mathrm{lying}\mathrm{on}\mathrm{a}\mathrm{smooth}\mathrm{table}\mathrm{and}\mathrm{one}$$$$\mathrm{third}\mathrm{of}\mathrm{its}\mathrm{length}\mathrm{is}\mathrm{hanging}\mathrm{vertically}$$$$\mathrm{down}\mathrm{over}\mathrm{the}\mathrm{edge}\mathrm{of}\mathrm{the}\mathrm{table}.\mathrm{If}\mathrm{g}\mathrm{is}$$$$\mathrm{acceleration}\mathrm{due}\mathrm{to}\mathrm{gravity},\mathrm{calculate}$$$$\mathrm{work}\mathrm{required}\mathrm{to}\mathrm{pull}\mathrm{the}\mathrm{hanging}\mathrm{part}$$$$\mathrm{on}\mathrm{the}\mathrm{table}.$$

Answered by ajfour last updated on 21/Oct/17

$$W=△U+△K$$$$Forminimumwork△K=0$$$$W=△U=\frac{1}{3}\left(Mg\right)\left(\frac{l}{6}\right)=\frac{\mathit{M}\mathit{g}\mathit{l}}{18}.$$

Commented by math solver last updated on 21/Oct/17

$$takingheightwithrespecttocentre$$$$ofmassi.e1/2\times l/3=l/6$$

Commented by Tinkutara last updated on 21/Oct/17

$$\mathrm{Thank}\mathrm{you}\mathrm{very}\mathrm{much}\mathrm{Sir}!$$

Commented by math solver last updated on 21/Oct/17

$$hey,iamofyourage!dontcallsir:)$$

Commented by Tinkutara last updated on 21/Oct/17

$$\mathrm{What}\mathrm{is}l/6?$$

Commented by math solver last updated on 21/Oct/17

$$weareanonymousfriends!\left(lol\right)$$

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