Friction and inclines problem. i

  • Thread starter Terrell
  • Start date
  • Tags Tags
    Friction
5 replies · 1K views · last reply
Terrell
Messages
316
Reaction score
26
[moderator note: moved from technical forums, no template]

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
 
Attachments
  • Diagram of a uniform ladder leaning against a vertical wall, making angle θ with the horizontal ground, with a downward arrow labelled m on the ladder and the ladder mass labelled M.
    aggh problem.png
    11.5 KB · Views: 541
  • Hand-drawn free-body diagram of a 75 kg person on a ladder leaning against a wall at angle θ, with the wall friction coefficient 0.3 and ground friction coefficient 0.5, weights 833 N and 85 kg = 833 N labelled, and the ladder labelled 10 kg.
    agghhh.png
    9.2 KB · Views: 487
Last edited by a moderator:
You need a better free body diagram, showing the forces at the top and bottom of the ladder.
 
  • Like
Likes   Reactions: Terrell
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.
 
  • Like
Likes   Reactions: Terrell