Question

PROBLEMA 2. Calcule la fuerza normal en A en el sistema de barra y poleas que se muestra. En O hay un pin. Asuma que la supe

Calculate the normal force in A in the bar and pulley system shown. In O there is a "pin". Assume that the surface at A is smooth or smooth. The mass value of the cylinder (m1) is equal to 20 kg. Evaluate the normal force at A for values of m1 (cylinder mass) from 10kg to 60kg at intervals of 10 (6 cases). Make a graph of Normal vs. cylinder mass (Normal in y / Mass in x). It is recommended that you use a spreadsheet of some program (Excel example) and that you extract the equation from the normal one based on m1.
Comment on the results, at which point the system becomes unstable (the bar falls off)
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Answer #1
Sr. No Mass of Bar (m) Mass of cylinder (m1) Force due to mass of bar Force due to cylinder mass Tension in the string String tension in X direction String tension in Y direction Moment due to string tension in X direction Moment due to string tension in Y direction Moment due to weight of the bar Normal force at point A
1 20 10 196.2 98.1 49.05 42.47856 24.52498 14.15951 14.15951 84.95711 56.6381
2 20 20 196.2 196.2 98.1 84.95711 49.04996 28.31902 28.31902 84.95711 28.31908
3 20 30 196.2 294.3 147.15 127.4357 73.57494 42.47852 42.47852 84.95711 6.51E-05
4 20 40 196.2 392.4 196.2 169.9142 98.09992 56.63803 56.63803 84.95711 -28.319
5 20 50 196.2 490.5 245.25 212.3928 122.6249 70.79754 70.79754 84.95711 -56.638
6 20 60 196.2 588.6 294.3 254.8713 147.1499 84.95705 84.95705 84.95711 -84.957
The bar falls of at point when Reaction force becomes negative means the force direction changes. I have assumed mass of bar as 20 kg.

Nenal s (ylinder 80 40 20 10 20 漠) 40 50 70 20 4 -60 -80 TiHi

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