A14.0 m uniform ladder weighing 490 n rests against a frictionless wall. the ladder makes a 63.0°-angle with the horizontal.
(a) find the horizontal and vertical forces (in n) the ground exerts on the base of the ladder when an 820-n firefighter has climbed 3.80 m along the ladder from the bottom. (horizontal force, vertical force)
(b) if the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground?
(c) what if? if oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?
a) N = 1310 N
length of ladder, = 14 m
weight of ladder, = 490 N
position of firefighter, = 3.8 m
weight of firefighter, = 820 N
angle of ladder,
Let force of the wall on the ladder be , force of friction on base of ladder be and normal force on base of ladder be N.
Now, in x direction
In y direction,
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length of ladder
weight of ladder
position of firefighter
weight of firefighter
angle of ladder
force of the wall on the ladder
force of friction on base of ladder
normal force on base of ladder
From the free body diagram of the sketch you get 3 equations:
Solving the equations gives:
c) Using the result from b and solving for
.) the observation by semmelweis that more mothers died of childbed fever when their doctors also worked in the morgue
falling water hydro = water .. spectcular places these plants are