Question

SerPOP5 10.P.065 .so I n. My Notes Ask Your Teacher 12. -/6 points A long uniform rod of length L and mass M is pivoted about a frictionless, horizontal pin through one end. The rod is nudged from rest in a vertical position as shown in the figure below L Pin (a) At the instant the rod is horizontal, find its angular speed. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) (b) At the instant the rod is horizontal, find the magnitude of its angular acceleration. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) a= (c) At the instant the rod is horizontal, find the x and y components of the acceleration of its center of mass. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) a= (d) At the instant the rod is horizontal, find the components of the reaction force at the pivot. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) R = Ry Need Help? Read It

Answer 1

(a) since only conservative forces acting on rod in from conservation ki tui = Kft u мор = 0 0 = Mg , k' го Kto a Iwi e ot & Mgl I Į I wgh to nge = I wilt wf = mge - 0 As bar is rotating about axis through oue end I = M. 2² o eq ♡ becomes wf = mgh I ML2/3 wer

(6) Tata 2 Mg - 2 мі" е аз 39 Докусу (c) a1= - аса - це 04 - ) за ) ал - - - - ка - - ay 2 - 3 ) (d) Fra = Maxe = M(-39) = - 3 mg and Fy - Mg = May ги - Mа 2 м

y = Mg - 3 mg Fy = mg ел- и