ME101-Prob Sheet 7
1
Indian Institute of Technology Patna ME101: Engineering Mechanics Problem Sheet # 7: Required to be submitted Group: G1-G2 Maximum Marks: 10 1. Determine the polar moment of inertia and the polar radius of gyration of the shaded area shown with respect to Point P in Figure 1. (3) 2. For the quarter ellipse in Figure 2, first find the moment and product of inertia about x-y axes. Then use Mohr’s circle to determine the orientation the principal axes (w.r.t. x-y) at the origin and the corresponding values of the moments of inertia. (4) 3. Using Mohr’s circle, determine for the area indicated in Figure 3, the orientation of the principal centroidal axes and the corresponding values of the moments of inertia. (3) Figure 1 Figure 2 Figure 3
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Mechanical engineering tutorial sheet for IIT Patna.
Transcript of ME101-Prob Sheet 7
Indian Institute of Technology Patna ME101: Engineering Mechanics
Problem Sheet # 7: Required to be submitted
Group: G1-G2 Maximum Marks: 10
1. Determine the polar moment of inertia and the polar radius of gyration of the shaded area shown with respect
to Point P in Figure 1. (3)
2. For the quarter ellipse in Figure 2, first find the moment and product of inertia about x-y axes. Then use
Mohr’s circle to determine the orientation the principal axes (w.r.t. x-y) at the origin and the corresponding
values of the moments of inertia. (4)
3. Using Mohr’s circle, determine for the area indicated in Figure 3, the orientation of the principal centroidal
axes and the corresponding values of the moments of inertia. (3)
Figure 1
Figure 2
Figure 3
