- #1

Myrddin

- 25

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**Ladder Problem (urgent)**

A light of negligible mass and length d is supported on a rough floor and leans against a smooth vertical wall makeing an angle (theta) with the floor. The coefficent of friction between the ladder and floor is M.

If a painter climbs the ladder up distance x, what value of x is when the ladder begins to slip? And how far can he climb is the floor is smooth and the wall is rough?

Attempt at solution:

Have a force diagram with mass of painter Mg downwards, with anti clockwise moment xMgcos(theta) taking base of the ladder as a pivot.

clockwise moment from the top off ladder reaction from the wall R2.

= R2cos(theta)d (i think)

R2 = Mmg (i think)

So both moments ---> Mmgcos(theta)d = mgcos(theta)x

so from this x = dM which doesnt seem right..