Question

A uniform rope of length L has a mass M. It is stretched out along a table with a portion of its length,x, hanging over the edge of the table.There is a coefficient of friction mu, between rope and the table.

a) what fractional length of rope must hang over the edge of the table for it to be able to move?

b)assuming that just slightly more than your answer to part a hangs over the edge of the table, derive the speed of the

rope’s movement as a function of x.

c) if mu= 0.4 L=1 and g=9.81 what is the numerical value for part a?

d) if mu=0.4 L=1 and g=9.81 graph a(x) and v(x) to proper limits.

Answer 1