What is the moment of inertia about the origin? Week 6 Homework: Problem 1 At le

Question

What is the moment of inertia about the origin?

Week 6 Homework: Problem 1 At least one of the answers above is NOT correct. A lamina occupies the part of the disk x2 + y2 1 in the first quadrant and the density at each point is given by the function rho(x, y) = 2(x2 + y2). What is the total mass? What ii the moment about the x-axis? What ii the moment about the y-axis? Where is the center of mass? What is the moment of inertia about the origin? Note: You can earn partial credit on this problem. Your score was recorded. You have attempted this problem 17 times. You received a score of S3% for this attempt. Your overall recorded score is 83%. You have unlimited attempts remaining.

Explanation / Answer

Moment about x axis = 2/5

Moment about y-axis = 2/5

by perpendicular theorem of moment

I(z) = moment around axis passing through origin = I(x) + I(y) = 2/5 + 2/5 = 1/5.

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.