2. Consider a 15-lb, thin, square plate 2½ feet along each side. You wish to modify this plate to decrease the mass moment of inertia about an axis normal to the plate passing through its centroid by 30% a. Strategy 1: You reduce the thickness of the plate. What reduction in the plate thickness is needed? What is the weight reduction? b. Strategy 2: You cut a circular hole through the plate, centered at the middle. What diameter is the hole? What is the weight reduction?

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2. Consider a 15-lb, thin, square plate 2½ feet along each side. You wish to modify this plate to decrease
the mass moment of inertia about an axis normal to the plate passing through its centroid by 30%
a. Strategy 1: You reduce the thickness of the plate. What reduction in the plate thickness is
needed? What is the weight reduction?
b. Strategy 2: You cut a circular hole through the plate, centered at the middle. What diameter is
the hole? What is the weight reduction?
Transcribed Image Text:2. Consider a 15-lb, thin, square plate 2½ feet along each side. You wish to modify this plate to decrease the mass moment of inertia about an axis normal to the plate passing through its centroid by 30% a. Strategy 1: You reduce the thickness of the plate. What reduction in the plate thickness is needed? What is the weight reduction? b. Strategy 2: You cut a circular hole through the plate, centered at the middle. What diameter is the hole? What is the weight reduction?
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