At what location (b) should the center of the circular hole be placed to minimiz
ID: 1850762 • Letter: A
Question
At what location (b) should the center of the circular hole be placed to minimize the moment of inertia (Iy)? What is Iy at this value of b? The outer circle has diameter d1 and the hole has diameter d2.
At what location (b) should the center of the circular hole be placed to minimize the moment of inertia (Iy)? What is Iy at this value of b? The outer circle has diameter d1 and the hole has diameter d2.Explanation / Answer
a)Iy=m1d1^2/8-m2*d2^2/8-m2x^2 dIy/dx=0 =>x=0 so at x=0 Iy is maximum from the eqn we can seethat when x=(d1-d2)/2 the moment of inertia Iy is minimum let density be d then m1=d*pi*d1^2/4 let the hole mass be m2 b)Iy=m1d1^2/8-m2d2^2/8-m2b^2
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.