College Physics

A uniform stationary ladder of length= 5.1 m and mass= 15 kg leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is μ = 0.41. The ladder makes an angle θ = 51° with respect to the floor. A painter of weight 8M stands on the ladder a distance d from its base.

1)Which is the expression for the magnitude of the normal force NW exerted by the wall on the ladder?

A)NW = 1/2Mg cotθ (1+16d/L)
B)NW = ½Mg cotθ
C)NW = 1/2Mg cotθ (16d/L)
D)NW = 1/2Mg tanθ (1+16d/L)
E)NW = Mg cotθ (16+d/2L)

2)What is the largest value of dmax for which the ladder does not slip, in meters?

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