After a period of use, one of the blades of a shredder has been worn to the shape shown and weighs 0.4 lb.
Knowing that the mass moments of inertia of the blade with respect to the AA′ and BB′ axes are 0.6 × 10−3 lb ⋅ ft ⋅ s2 and 1.26 × 10−3 lb ⋅ ft ⋅ s2, respectively, determine
(a) The location of the centroidal axis, GG′
(b) The radius of gyration with respect to axis GG′.

Transcribed Image Text:

B'I 4 in. G' A'