1. A system of four non-coplanar weights is arranged on a shaft (the angles and lengths on the figure are arbitrary). The shaft rotates at 100 rpm. Assume the following data (use any consistent system of units you prefer): link m R (deg) L 1 4.0 5.0 10 3.0 2 4.5 3.0 70 5.0 3 5.0 2.5 215 8.0 4 2.5 4.0 320 9.0 Determine the mR products and angles of the counterweights in correction planes A and B needed to dynamically balance the system. Assume that the correction planes are 10 units apart. For book- keeping purpose, use the table shown below. (a) Solve the problem graphically. (b) Redraw the two views of the system according to the given data and the solution. MA m1 m1 m2 m2 mB mB R1 0 R2 RB R4 RA 183 m3 m3 MA m4 m4 12. L3. L4. LB link m R 0 (deg.) L mR mRL 1 4.0 5.0 10 3.0 2 4.5 3.0 70 5.0 3 5.0 2.5 215 8.0 4 2.5 4.0 320 9.0 B A