Each end of a long slender bar of mass mand length is attached to a small roller of negligible mass and friction such th
Posted: Fri Apr 29, 2022 10:14 am
Each end of a long slender bar of mass mand length is attached to a small roller of negligible mass and friction such that, when released, the bar will roll down the circular half-pipe surface in a clockwise sense. The normal forces between the rollers at A and B and the half-pipe surface are denoted as NA and NB, respectively. The acceleration of the bar's centre of mass along the normal- tangential directions shown (i.e., en and ē
are denoted as a and a t' respectively, and its angular acceleration is a. Which is the correct sum of moments on the bar taken about point A as it is released from rest from the configuration shown? n IMPORTANT: Terms that may be identified as being equal to zero MUST NOT appear in the equation (this could include quantities that are defined in the problem statement).
B ē, !! 1 1 1 m
V2 2 mgt - V2NB 12 me a- mean ?- V2 4 1 V2 2 -me²a ya mge – = ENpl = 1 / me a BE +- ? Noe = izmea+ mla V2 1 4 mgt - = 2 1 2 12 4 mgl - 4 1 NBC 1 12 V2 Not = 1; mi-a+] mea, - mean mge – v2V,t = ia mea 12 2 1 = 12 O V2 mgt- 4 12 1 NB! = 2 12 m-a - mean 1 me²a- 2.
B ē, !! 1 1 1 m
V2 2 mgt - V2NB 12 me a- mean ?- V2 4 1 V2 2 -me²a ya mge – = ENpl = 1 / me a BE +- ? Noe = izmea+ mla V2 1 4 mgt - = 2 1 2 12 4 mgl - 4 1 NBC 1 12 V2 Not = 1; mi-a+] mea, - mean mge – v2V,t = ia mea 12 2 1 = 12 O V2 mgt- 4 12 1 NB! = 2 12 m-a - mean 1 me²a- 2.