Academics – Applied Mechanics : 2011/OCT/05
Question
Q1. A casting of mass 20 kg is attached to the face-plate of a lathe. The centre of gravity of the casting is 120 mm from the axis of rotation. In order to achieve dynamic balance, two balance masses are attached to the face-plate. The first has a mass of 12 kg and is fitted 1500 clockwise from the casting and 90 mm from the axis of rotation, whilst the second is to be located 100 mm from the axis of rotation. Calculate EACH of the following:
(a) the unbalanced force before the balance masses are fitted, if the lathe is run at a speed of 120 rev/min;
(b) the required magnitude of the second balance mass;
(c) the required angular position of the second balance mass.
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