Q. What is the moment of inertia of a thin circular ring of mass M and radius R about an axis perpendicular to its plane and passing through its center?
A.MR^2
B.1/2 MR^2
C.1/3 MR^2
D.2/5 MR^2
Solution
The moment of inertia of a thin circular ring about an axis through its center is I = MR^2.
Q. What is the moment of inertia of a uniform rectangular plate of mass M and dimensions a x b about an axis through its center and parallel to side a?
A.1/12 Ma^2
B.1/12 Mb^2
C.1/3 Ma^2
D.1/3 Mb^2
Solution
The moment of inertia of a rectangular plate about an axis through its center and parallel to side a is I = 1/3 Mb^2.
Q. What is the moment of inertia of a uniform thin circular plate of mass M and radius R about an axis through its center and perpendicular to its plane?
A.1/2 MR^2
B.MR^2
C.1/4 MR^2
D.2/5 MR^2
Solution
The moment of inertia of a uniform thin circular plate about an axis through its center and perpendicular to its plane is I = 1/2 MR^2.
Q. What is the moment of inertia of a uniform thin square plate of mass M and side length a about an axis through its center and parallel to one of its sides?
A.1/6 Ma²
B.1/12 Ma²
C.1/4 Ma²
D.1/3 Ma²
Solution
The moment of inertia of a square plate about an axis through its center and parallel to one side is I = 1/12 Ma².
Q. What is the moment of inertia of a uniform triangular lamina of mass M and base b about an axis perpendicular to the base and passing through its centroid?
A.1/18 Mb^2
B.1/12 Mb^2
C.1/6 Mb^2
D.1/24 Mb^2
Solution
The moment of inertia of a triangular lamina about an axis through its centroid is I = 1/12 Mb^2.
