- #1

Saitama

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## Homework Statement

One end of the chain falls through a hole in its support and pulls the remaining links after it in a steady flow. If the links which are initially at rest, acquire the velocity of the chain suddenly and without frictional resistance or interference from the support or from adjacent links. Choose the

**INCORRECT**statement. (when x=0, then v=0) (length of chain is L and ##\rho## is the mass per unit length of the chain).

A) the velocity v of the chain as a function of x is ##\sqrt{\frac{2gx}{3}}##.

B) the acceleration of a of the falling chain as a function of x is ##\frac{g}{3}##.

C) the energy Q lost from the system as the last link leaves the platform is ##\frac{\rho gL^2}{6}##.

D) tension at the middle point of the falling chain is ##\frac{\rho gx}{3}##.

## Homework Equations

## The Attempt at a Solution

I am completely lost on this one. I could only write the following (from Newton's second law on falling part of chain):

$$\rho gx-T=\rho xa$$

where T is the tension acting on the part just getting out of the support. How do I write more equations?

Any help is appreciated. Thanks!