weight of ladder = m g = W
force down on floor = W
max friction force = .3 W
so horizontal force on top of ladder from wall = . W
Take moments about base of ladder
.3 W (L sin T) = W(L/2)cos T
.3 sin T = (1/2) cos T
tan T = .5/.3
T = 59 degrees
Notice that the ladder length does not matter. Stand at base of ladder, extend arms. They should touch the ladder.
Can someone help with the following physics problem? This is the only one I'm having trouble solving. Thanks.
A 3.6-m-long ladder leans against a frictionless wall as shown in the figure below. The coefficient of static friction between the ladder and the floor is 0.30. What is the minimum angle the ladder can make with the floor without slipping?
1 answer