(10%) Problem 6: A uniform stationary ladder of length L = 3.9 m and mass M= 16 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 u = 0.35. The ladder makes an angle = 59° with respect to the floor. A painter of mass 8M stands on the ladder a distance d from its base. 33% Part (a) Find the magnitude of the normal force N, in newtons, exerted by the floor on the ladder. N = 196.0 X Incorrect! 33% Part (b) Find an expression for the magnitude of the normal force N exerted by the wall on the ladder. Nw=1/2Mg cote (1+16d/L) Correct! 33% Part (c) What is the largest distance up the ladder dmax, in meters, that the painter can stand without the ladder slipping?

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(10%) Problem 6: A uniform stationary ladder of length L = 3.9 m and mass M= 16 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 u = 0.35. The ladder makes an angle = 59° with respect to the floor. A painter
of mass 8M stands on the ladder a distance d from its base.
33% Part (a) Find the magnitude of the normal force N, in newtons, exerted by the floor on the ladder.
N = 196.0 X Incorrect!
33% Part (b) Find an expression for the magnitude of the normal force N exerted by the wall on the ladder.
Nw=1/2Mg cote (1+16d/L) Correct!
33% Part (c) What is the largest distance up the ladder dmax, in meters, that the painter can stand without the ladder slipping?
Transcribed Image Text:(10%) Problem 6: A uniform stationary ladder of length L = 3.9 m and mass M= 16 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 u = 0.35. The ladder makes an angle = 59° with respect to the floor. A painter of mass 8M stands on the ladder a distance d from its base. 33% Part (a) Find the magnitude of the normal force N, in newtons, exerted by the floor on the ladder. N = 196.0 X Incorrect! 33% Part (b) Find an expression for the magnitude of the normal force N exerted by the wall on the ladder. Nw=1/2Mg cote (1+16d/L) Correct! 33% Part (c) What is the largest distance up the ladder dmax, in meters, that the painter can stand without the ladder slipping?
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