Moment of Inertia

Question 1 Multiple Choice (Single Answer)

What is the moment of inertia of a point mass m at a distance r from the axis of rotation?

mr
mr^2
m/r
m/r^2

Question 2 Multiple Choice (Single Answer)

What is the moment of inertia of a thin rod of mass M and length L about an axis perpendicular to the rod and passing through its center?

(1/12)ML^2
(1/3)ML^2
(1/2)ML^2
ML^2

Question 3 Multiple Choice (Single Answer)

What is the moment of inertia of a thin hoop of mass M and radius R about an axis perpendicular to the hoop and passing through its center?

MR^2
(1/2)MR^2
(1/3)MR^2
(1/4)MR^2

Question 4 Multiple Choice (Single Answer)

What is the moment of inertia of a solid cylinder of mass M and radius R about an axis perpendicular to the cylinder and passing through its center?

(1/2)MR^2
(1/3)MR^2
(1/4)MR^2
(1/6)MR^2

Question 5 Multiple Choice (Single Answer)

What is the moment of inertia of a solid sphere of mass M and radius R about an axis passing through its center?

(2/3)MR^2
(2/5)MR^2
(3/5)MR^2
(3/4)MR^2

Question 6 Multiple Choice (Single Answer)

What is the moment of inertia of a hollow sphere of mass M and radius R about an axis passing through its center?

(2/3)MR^2
(2/5)MR^2
(3/5)MR^2
(3/4)MR^2

Question 7 Multiple Choice (Single Answer)

What is the moment of inertia of a rectangular plate of mass M, length L, and width W about an axis perpendicular to the plate and passing through its center?

(1/12)ML(L^2 + W^2)
(1/3)ML(L^2 + W^2)
(1/2)ML(L^2 + W^2)
ML(L^2 + W^2)

Question 8 Multiple Choice (Single Answer)

What is the moment of inertia of a triangular plate of mass M, base B, and height H about an axis perpendicular to the plate and passing through its center?

(1/12)MBH
(1/3)MBH
(1/2)MBH
MBH

Question 9 Multiple Choice (Single Answer)

What is the moment of inertia of a solid cone of mass M, base radius R, and height H about an axis of symmetry?

(3/10)MR^2
(3/5)MR^2
(1/2)MR^2
(2/5)MR^2

Question 10 Multiple Choice (Single Answer)

What is the moment of inertia of a solid hemisphere of mass M and radius R about an axis of symmetry?

(2/5)MR^2
(3/5)MR^2
(1/2)MR^2
(2/3)MR^2

Question 11 Multiple Choice (Single Answer)

What is the moment of inertia of a hollow cylinder of mass M, outer radius R1, and inner radius R2 about an axis perpendicular to the cylinder and passing through its center?

(1/2)M(R1^2 + R2^2)
(1/3)M(R1^2 + R2^2)
(1/4)M(R1^2 + R2^2)
(1/6)M(R1^2 + R2^2)

Question 12 Multiple Choice (Single Answer)

What is the moment of inertia of a thin spherical shell of mass M and radius R about an axis passing through its center?

(2/3)MR^2
(2/5)MR^2
(3/5)MR^2
(3/4)MR^2

Question 13 Multiple Choice (Single Answer)

What is the moment of inertia of a solid disk of mass M, radius R, and thickness t about an axis perpendicular to the disk and passing through its center?

(1/2)MR^2 + (1/12)Mt^2
(1/3)MR^2 + (1/12)Mt^2
(1/4)MR^2 + (1/12)Mt^2
(1/6)MR^2 + (1/12)Mt^2

Question 14 Multiple Choice (Single Answer)

What is the moment of inertia of a hollow disk of mass M, outer radius R1, inner radius R2, and thickness t about an axis perpendicular to the disk and passing through its center?

(1/2)M(R1^2 + R2^2) + (1/12)Mt^2
(1/3)M(R1^2 + R2^2) + (1/12)Mt^2
(1/4)M(R1^2 + R2^2) + (1/12)Mt^2
(1/6)M(R1^2 + R2^2) + (1/12)Mt^2

Question 15 Multiple Choice (Single Answer)

What is the moment of inertia of a solid sphere of mass M and radius R about an axis tangent to the sphere and passing through its center?

(7/5)MR^2
(2/3)MR^2
(3/4)MR^2
(4/5)MR^2

Questions