A trapdoor (mass M, length L), that is propped open at an angle θ, falls down, and stops only when it hits a pumpkin with its lower edge.
(a) What is the angular speed ω of the trapdoor when it hits the pumpkin?
(b) If it takes the time Δt for the pumpkin to fully stop the trapdoor, what is the average force F exerted on the pumpkin by the trapdoor?
(c) Compute ω and F from parts (a) and (b) if M = 6 kg, L = 1 m, θ = 30, and Δt = 60 ms.