a) A ladder with a length of 13.6 m and weight of 524.0 N rests against a fricti

Question

a) A ladder with a length of 13.6 m and weight
of 524.0 N rests against a frictionless wall,
making an angle of 60.0 with the horizontal.
Find the horizontal force exerted on the
base of the ladder by Earth when a ?re?ghter
weighing 875.0 N is 2.91 m from the bottom
of the ladder.
Answer in units of N

b) Find the vertical force exerted on the base of
the ladder by Earth.
Answer in units of N

c) If the ladder is just on the verge of slipping
when the ?re?ghter is 8.83 m up, what is the
coe?cient of static friction between the ladder
and the ground?

Explanation / Answer

A) equating torques about the lower end of the ladder, we get N*13.6*sin60 = 524*(13.6/2)*cos60 + 875*2.91*cos60 so, N = 259.36N

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