Friction and inclines problem. i

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The discussion revolves around solving a friction and incline problem involving a ladder. Participants emphasize the importance of a detailed free body diagram to illustrate forces at the ladder's contact points with the wall and floor. A key theorem mentioned states that for a rigid body at rest, the sum of torques and forces must equal zero. It is clarified that solving the problem without considering torques is not feasible due to the presence of three unknowns requiring three equations. The consensus is that torque balance is essential for a complete solution.
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this is fun but i am stuck. help! :) the first image states the problem and the second image is my futile attempt at a solution
 

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You need a better free body diagram, showing the forces at the top and bottom of the ladder.
 
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Theorem. If a rigid body is in rest then the sum of torques about any point is equal zero and the sum of forces is also equal zero.
It is convenient to calculate torques about one of two contact points of the ladder and the wall/floor.
 
wrobel said:
Theorem. If a rigid body is in rest then the sum of torques about any point is equal zero and the sum of forces is also equal zero.
It is convenient to calculate torques about one of two contact points of the ladder and the wall/floor.
can i solve this without torques? i haven't got into torques just yet
 
Terrell said:
can i solve this without torques? i haven't got into torques just yet
No. You have three unknowns, the two normal forces and the angle. So you need three equations. Only two are available from linear force balances in two dimensions, so your third must be from torque balance.
 
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