NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. You and your brother are helping paint a house. To get to the roof of the house to paint the trim, you place a 3.2 m lightweight ladder on the ground and prop it against the house to where it makes a 60° angle with respect to the horizontal ground on which it sets. Your 94 kg brother begins to climb the ladder to paint the trim. He gets to the second rung of the ladder and then tells you that he has a feeling that if he climbs any further, the ladder will be on the verge of slipping from its current position. You tell him to stop climbing the ladder at this point and decide to perform a static analysis on the ladder to see if it will support your brother if he ascends to the third rung or if the ladder should be placed closer to the wall of the house on which it rests. The center of gravity of your brother can be assumed to be at point G on the diagram. The location of your brother and his center of gravity on the diagram is positioned as if he climbed to the third rung. The coefficient of static friction between the ladder and the ground at point A is μ = 0.25, and the coefficient of kinetic friction is uk = 0.20. The wall of the house at B is assumed to be a smooth surface. B G L m

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.