- #1
Jonski
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Homework Statement
The diagram shows the instant when a long slender bar of mass 4.9 kg and length 4.9 m is horizontal. At this instant the mass m= 6.5 kg has a vertical velocity of 4.0 m/s.
If the pulley has negligible mass and all friction effects may be ignored, what is the magnitude of the reaction force on the bearing A
2. The attempt at a solution
So I split the reaction force into its x and y components Rx and Ry.
For Mass m:
T - mg = ma
For the bar:
Sum of the moments from A:
let mass of bar = B
length of bar = L
B*g*L/2 - T.L = B*L^2/3*α
Sum of forces in the x direction:
Rx = B*a=B*ω^2*L/2
Sum of forces in the y direction:
Ry - Bg+T=B*(-a) = -B*α*L/2
I solved and got Rx = 8N, however not sure how to find tension, a in the tangential, or alpha. I have tried simultaneous equations to find them but keep getting them wrong. Please help