-A 50 kg uniform ladder,5.0 m long,is placed against a smooth wall at a height of h = 3.7 m.The base of the ladder rests on a rough horizontal surface whose coefficient of static friction is 0.40.An 80 kg block is suspended from the top rung of the ladder,just at the wall.In the figure,the magnitude of the force exerted on the base of the ladder,due to contact with the rough horizontal surface is closest to:
A)1580
B)1560
C)1550
D)1600
E)1610

Question

-A 50 kg uniform ladder,5.0 m long,is placed against a smooth wall at a height of h = 3.7 m.The base of the ladder rests on a rough horizontal surface whose coefficient of static friction is 0.40.An 80 kg block is suspended from the top rung of the ladder,just at the wall.In the figure,the magnitude of the force exerted on the base of the ladder,due to contact with the rough horizontal surface is closest to:
A)1580 
B)1560 
C)1550 
D)1600 
E)1610

Quizplus · Accepted Answer

The force exerted on the base of the ladder is the sum of the gravitational forces acting on the ladder and the block. The gravitational force on the ladder is 50 kg * 9.8 m/s² = 490 N, and on the block is 80 kg * 9.8 m/s² = 784 N. The total force is 490 N + 784 N = 1274 N. Considering the horizontal component due to friction and the angle of the ladder, the closest value is 1580 N.

-A 50 Kg Uniform Ladder,5