A shaft 2 m long rotates at 1500 rpm between bearings. The bearings experience forces of 5 kN and 3 kN acting in the same plane.
The shaft is to be balanced using two masses (m1 and m2)placed 0.5 m and 1.5 m from end A and 180° from the direction of the bearing reactions, each on radius arms 100 mm long. Calculate the sizes of m1 and m2.
Now through a process of elimination I know what the masses m1 and m2 should be and also what these forces f1 and f2 are.
My problem is taking the 2 m shaft and how I got to these values without just plugging in different numbers till I got there. I think it must be something about the summing of the moments from the right hand or left hand end. Hope someone can point me in the correct direction with this.....