Homework Statement
A uniform rod of length L1 and mass M = 0.75 kg is supported by a hinge at one end and is free to rotate in the vertical plane (Figure). The rod is released from rest in the position shown. A particle of mass m = 0.5 kg is supported by a thin string of length L2 from the...
Okay so I find that a = 3/5gsinθ plugging that into f = 2/3ma i get f = 2/5mgsinθ. Because static friction is at its maximum value, I set the equation as μsmgcosθ = 2/5mgsinθ and solving for θ gets me 5/2μs = tanθ. Is this correct?
So solving the first equation gives 1/2 mv^2 = 5/7 mgh1.
Plugging into the second equation then gives me h2 = 5/7h1 + (2v^2)/(10g).
however that does not match the answer given above.
I am trying to figure out what the maximum incline can be for the ball to roll without slipping. I know that the nonslip condition means a = rα but I do not understand how to connect it with the problem.