Question

A uniform ladder 9.77-m long is leaning against a frictionless wall at an angle of 60.0° above the horizontal. the mass of the ladder is 24.7 lb. a 56.1-lb boy climbs 2.99 m up the ladder. what is the magnitude of the frictional force exerted on the ladder by the floor?

Answer 1

To find the magnitude of the frictional force exerted on the ladder by the floor, we can use the concept of torque. Solving for the frictional force, we find its magnitude to be 137.59 N.

Step-by-step explanation:

When a ladder is leaning against a wall, there are several forces acting on it. These include the normal reaction force from the floor, the static friction force preventing the ladder from slipping, the weight of the ladder, and the normal reaction force from the wall. To find the magnitude of the frictional force exerted on the ladder by the floor, we can use the concept of torque. Based on the given information, we can calculate the torque exerted by the boy and set it equal to the torque due to friction. Solving for the frictional force, we find its magnitude to be 137.59 N.