A. Using the definition of moment of inertia, calculate I cm , the moment of ine

Question

A. Using the definition of moment of inertia, calculate Icm, the moment of inertia about the center of mass, for this object. Express your answer in terms of m and r.

B. Using the definition of moment of inertia, calculate IB, the moment of inertia about an axis through point B, for this object. Point B coincides with (the center of) one of the spheres (see the figure).

Express your answer in terms of m and r.

C. Now calculate IB for this object using the parallel-axis theorem.

Express your answer in terms of Icm, m, and r.

D. Using the definition of moment of inertia, calculate IC, the moment of inertia about an axis through point C, for this object. Point C is located a distance r from the center of mass (see the figure).

Express your answer in terms of m and r.

E. Now calculate IC for this object using the parallel-axis theorem.

Express your answer in terms of Icm, m, and r.

A. Using the definition of moment of inertia, calculate Icm, the moment of inertia about the center of mass, for this object. Express your answer in terms of m and r. B. Using the definition of moment of inertia, calculate IB, the moment of inertia about an axis through point B, for this object. Point B coincides with (the center of) one of the spheres (see the figure). Express your answer in terms of m and r. C. Now calculate IB for this object using the parallel-axis theorem. Express your answer in terms of Icm, m, and r. D. Using the definition of moment of inertia, calculate IC, the moment of inertia about an axis through point C, for this object. Point C is located a distance r from the center of mass (see the figure). Express your answer in terms of m and r. E. Now calculate IC for this object using the parallel-axis theorem. Express your answer in terms of Icm, m, and r.

Explanation / Answer

parallel axis theorem

I = Icm + (mass of the sysytem * square of thr perpendicular distance between the two axis)

A) Icm = m*r^2 + m*r^2 = 2*m*r^2

B) IB = m*(2r)^2 = 4 * m* r^2

C) IB = Icm + 2m*r^2 = 4*m*r^2

D) IC = m*(r^2+2^2 ) + m*(r^2+2^2 ) = 4*m*r^2

E) IC = ICm + (2m)*r^2 = 4*m*r^2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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