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Solved: To get up on the roof, a person (mass 70.0 kg)

Chapter 9, Problem 17

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QUESTION:

Problem 17PE

To get up on the roof, a person (mass 70.0 kg) places a 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2 m from the bottom. The person is standing 3 m from the bottom. What are the magnitudes of the forces on the ladder at the top and bottom?

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QUESTION:

Problem 17PE

To get up on the roof, a person (mass 70.0 kg) places a 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2 m from the bottom. The person is standing 3 m from the bottom. What are the magnitudes of the forces on the ladder at the top and bottom?

ANSWER:

Solution 17 PE

Step 1 of 5

The magnitude of forces on the acting on the top and bottom of the ladder can be found by writing down the equation for net torque acting on the top of the ladder and net vertical  force acting on the bottom of the ladder and applying the conditions of equilibrium to it.

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