You and your brother are helping paint a house. To get to the roof of the...

  

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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 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 96 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 s = 0.25, and the coefficient of kinetic friction is k= 0.20. The wall of the house at B is assumed to be a smooth surface. B G Lm A 1 m Enter decimal values for all numbers. Process-Oriented Problem 08.001.f-Static and kinetic friction If your brother were to step to the third rung of the ladder, determine the maximum possible frictional force that would keep the ladder in equilibrium. The maximum possible frictional force is determined to be [ N. 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 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 96 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 s = 0.25, and the coefficient of kinetic friction is k= 0.20. The wall of the house at B is assumed to be a smooth surface. B G Lm A 1 m Enter decimal values for all numbers. Process-Oriented Problem 08.001.f-Static and kinetic friction If your brother were to step to the third rung of the ladder, determine the maximum possible frictional force that would keep the ladder in equilibrium. The maximum possible frictional force is determined to be [ N.

Answer rating: 100% (QA)

Analyzing the Stability of the Ladder Given Information Ladder length AB 3 m Angle between ladder and ground ABC 60 Brothers weight W 96 kg mass x gravity 960 N assuming g 10 ms Center of gravity G of ... View the full answer