A ladder is extended to a length of 8 m.It rests against a smooth frictionless vertical wall at an angle of 55 degrees to the horizontal.The ladder has a mass of 30 kg,and its center of mass is three-eighths of the way up the ladder from the floor.If the coefficient of static friction between the ladder and the floor is 0.2,calculate how far a man of 80 kg can stand along the ladder without it slipping away at the floor.
A)3.7 m
B)6.3 m
C)all the way to the top
D)5.4 m
E)none of the above

Question

Quizplus · Accepted Answer

The ladder will not slip regardless of how far the man climbs because the frictional force at the base is sufficient to counteract the combined center of mass of the ladder and the man, given the specified conditions.

A Ladder Is Extended to a Length of 8 M