In the attached image (triangle with quarter circle hole), find the moment of inertia of the whole system with respect to the y axis.

The cantilevered handle shown here is made from mild steel. Let Fy= 300 Ibf and Fx= Fz= 0. The part dimensions are as follows: doA = 1.5 in, dAB= 0.875 in and dBc= 1.5 in, dcD=1 in, LAB=10 in, LCD= 12 in. Determine the angle of twist in the bar OC, ignoring the fillets but including the changes in diameter between O and C. Compare the angle of twist if the bar OC is simplified to be of uniform diameter equal to dAB. Use superposition to determine the vertical deflection (along the y-axis) at D, using the simplified bar OC. 2 in A LAB doa B C -in R. 2 in daB dBc dco Lco

Part e) Rotation_at_B Use the principle of virtual work to determine the rotation at Support B. (The positive direction of a rotation is clockwise. Please present your result to 4 decimal places.) Radians

Determine the distance y̅ to the centroid of the area and then calculate the moments of inertia Iu and Iυ of the channel’s cross-sectional area. The u and υ axes have their origin at the centroid C. For the calculation, assume allcorners to be square.