Question

Find the mass·radius necessary to statically balance the system by placing the center of mass on the axis of rotation for the following 2 masses in 3 dimensions. You are to balance the moments about plane B by adding a mass to plane A and then find the mass·radius that puts the center of mass on the axis of rotation. The first mr is 243 Ib·in at an angle of 108° and distance of -5.9 inches from plane B. The second mr is 454 Ib·in at an angle of 321° and distance of -3.6 inches from plane B. The moments are to be balanced by putting mass on plane A which is 5 inches from plane B. (Enter your answer to the nearest positive whole number of lb·in.)

Answer 1

• Convert angles to radians.
• Calculate x and y components of mr for each case.
• Total moments in x and y directions.
• Find required mass on plane A.
• Calculate required mass·radius on plane A.

Calculate these steps to find the mass·radius necessary to balance the system.