Multiple Choice Questions on Moment of Inertia

Описание: Q1.Two discs have mass ratio 1:2 and diameter ratio 2:1, then find the ratio of their moments of inertia.
a) 2:1 b) 1:1 c) 1:2 d) 2:3
Q2. From a disc of radius R and mass M, a circular hole of diameter R, whose rim passes through the centre is cut. What is M.I. of the remaining part of the disc about a perpendicular axis, passing through the centre?
a) 13MR2 / 32 b) 11 MR2 / 32 c) 9MR2 / 32 d) 15MR2/32
Q3. Three identical spherical shells, each of mass m and radius r are placed as shown in figure. Consider an axis XX’ which is touching the two shells and passing through diameter of third shell. M.I. of system consisting these three spherical shells about XX’ axis is
a) 11/5 mr^2 b) 3 mr2 c) 16/5 mr^2 d) 4 mr2
Q4. Moment of inertia of a ring about its diameter is I. The M.I. of the same ring about that axis perpendicular to its plane and passing through its centre,
a) I/2 b) 2 I c) I/4 d) 4 I
Q5. A particle of mass is attached to a thin uniform rod of length a at a distance a/4 from the mid-point C as shown in the figure. The mass of the rod is 4m. The moment of inertia of the combined system about an axis passing through O perpendicular to the rod is
a) 91/48 ma^2 b) 27/48 ma^2 c) 51/48 ma^2 d) 64/48 ma^2
Q6. What is the moment of inertia of a solid sphere of density ρ and radius R about its diameter:
a) 105/176 R^5 ρ b) 105/176 R^2 ρ c) 176/105 R^5 ρ d) 186/105 R^2 ρ
Q7. The radius of gyration of a body depends upon
Shape and size of body b) choice of axis of rotation
c) nature of mass distribution of body d) all of the above
Q8. If two discs have same mass and thickness but their densities are ρ_1 and ρ_2, then the ratio of their moments of inertia about central axis will be
a) 1: ρ_1 ρ_2 b) ρ_1 ρ_2 : 1 c) ρ_1: ρ_2 d) ρ_2: ρ_1
Q9. A rod of length L is composed of uniform length L/2 of wood whose mass is m_w and uniform length L/2 of brass whose mass is m_b . The moment of inertia I of the rod about an axis perpendicular to rod and through its centre is equal to

Q10. The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its mid pint is I_0. Its moment of inertia about an axis passing through one of its end and perpendicular to its length is
a) I_0 + (ML^2)/4 b) I_0 + 2 ML2 c) I_0 + ML2 d) I_0 + (ML^2)/2
Q11. The moment of inertia of a circular loop of radius R, at distance R/2 around a rotating axis parallel to horizontal diameter of loop is
a) MR2 b) (MR^2)/2 c) 2MR2 d) 3/4 MR^2

The videos will contain the content as per the CBSE board. The content will also help to those students who are going to appear in NEET or JEE Exams.