Chapter 14.3, Problem 14.63P

Sand falls from three hoppers onto a conveyor belt at a rate of 90 lb/s for each hopper. The sand hits the belt with a vertical velocity $v_1=10\text{ft/s}$ and is discharged at A with a horizontal velocity $v_2=13\text{ft/s}$ . Knowing that the combined mass of the beam, belt system, and the sand it supports is 1300 lb with a mass center at G, determine the reaction at E.