Question

You are pushing against a door while your body is slanted. The door is made of smooth ice and has zero friction. The floor though, is made of rough sandpaper and has coefficients of friction μ_s and μ_k, both of which are non-zero.

Model yourself as a uniform one-dimensional rod of mass M and length L. Your body makes angle θ relative to the ground.

You know: M, L, θ, μ_s, μ_k, g (also remember that there is no friction between the door and you)

Part A: If you are stationary without slipping, determine the magnitude of normal force exerted on you by the wall.

Part B: Now you try leaning more horizontal so that your feet get closer and closer to slipping on the floor. What is the smallest angle θ_smallest relative to the ground without slipping?

Answer 1

Part- o fr Taking tanque about o' to = Tong - TN, = 0 Imea ?Ni mg i Caso = N₂1 Sino Part- In yo diridion Nang fo= MN, a umy Msing >N₂ (you no ) slepping) Mong> ma sono tono> tu To ten Cats

Comment for any further help.