A-string-is-stretched-and-fastened-to-two-points-l-apart-Motion-is-started-by-displacing-the-string-into-the-form-y-lx-x-2-from-which-it-is-release-at-time-t-0-Find-the-displacement-of-a

Facebook Tweet Pin

Question Number 17617 by tawa tawa last updated on 08/Jul/17

A string is stretched and fastened to two points l apart. Motion is started by displacing the string into the form y = (lx − x^2 ) from which it is release at time t = 0. Find the displacement of any point on the spring at a distance x from one end at time t.

$$\mathrm{A}\:\mathrm{string}\:\mathrm{is}\:\mathrm{stretched}\:\mathrm{and}\:\mathrm{fastened}\:\mathrm{to}\:\mathrm{two}\:\mathrm{points}\:\:\mathrm{l}\:\:\mathrm{apart}.\:\mathrm{Motion}\:\mathrm{is}\:\mathrm{started} \\ $$$$\mathrm{by}\:\mathrm{displacing}\:\mathrm{the}\:\mathrm{string}\:\mathrm{into}\:\mathrm{the}\:\mathrm{form}\:\:\mathrm{y}\:=\:\left(\mathrm{lx}\:−\:\mathrm{x}^{\mathrm{2}} \right)\:\mathrm{from}\:\mathrm{which}\:\mathrm{it}\:\mathrm{is}\:\mathrm{release} \\ $$$$\mathrm{at}\:\mathrm{time}\:\mathrm{t}\:=\:\mathrm{0}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{displacement}\:\mathrm{of}\:\mathrm{any}\:\mathrm{point}\:\mathrm{on}\:\mathrm{the}\:\mathrm{spring}\:\mathrm{at}\:\mathrm{a}\:\mathrm{distance} \\ $$$$\mathrm{x}\:\mathrm{from}\:\mathrm{one}\:\mathrm{end}\:\mathrm{at}\:\mathrm{time}\:\:\mathrm{t}.\: \\ $$

Commented by tawa tawa last updated on 08/Jul/17

$$\mathrm{please}\:\mathrm{help}.\: \\ $$

Commented by alex041103 last updated on 08/Jul/17

$${sorry}\:{I}\:{don}'{t}\:{understand}\:{english}\:{very}\:{well} \\ $$$${can}\:{you}\:{draw}\:{a}\:{figure}\:{or}\:{somthing}\:{so}\:{I}\:{can}\:{help}\:{you} \\ $$

Commented by tawa tawa last updated on 08/Jul/17