MHB Man on ladder wishes to avoid the ladder slipping

[Joe_1234]

A 6 m ladder weighs 350N and is placed with its lower end on a horizontal floor and its upper end against the wall. The angle between the wall and the ladder is 30°. A man weighing 900N is to climb to the very top of the ladder. The coefficient of friction between the floor and the ladder to avoid the danger of slipping is?

 

[MarkFL]

Can you show what you have so far so we know where you're stuck?

 

[Joe_1234]

I have this diagram, but I'm not sure about this 900 N, on top of the ladder already?

 

[skeeter]

$\sum F_x = 0$, $\sum F_y = 0$, and $\sum \tau = 0$

 

[Joe_1234]

$\sum F_x = 0$, $\sum F_y = 0$, and $\sum \tau = 0$

View attachment 10283

I forgot there is friction between the wall and the

$\sum F_x = 0$, $\sum F_y = 0$, and $\sum \tau = 0$

View attachment 10283

I forgot there is a friction between the wall and the ladder which is 0.20

 

[skeeter]

I forgot there is a friction between the wall and the ladder which is 0.20

Which direction do you think the wall friction acts on the ladder?