Related Questions

Mass moment of inertia of a thin rod about its one end is ___________ the mass moment of inertia of the same rod about its mid-point
A Same as
B Twice
C Thrice
D Four times
In order to have a connecting rod equally strong in buckling about X-axis and Y-axis, the moment of inertia about X-axis should be __________ the moment of inertia about Y-axis.
A Equal to
B Twice
C Three times
D Four times
A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is (where, M = Mass of the body and S = Sum of the squares of the two semi-axes.)
A $$\frac{{{\text{MS}}}}{3}$$
B $$\frac{{{\text{MS}}}}{4}$$
C $$\frac{{{\text{MS}}}}{5}$$
D None of these
Mass moment of inertia of a uniform thin rod of mass (M) and length ($$l$$) about its mid-point and perpendicular to its length is
A $$\frac{2}{3}{\text{M}}{l^2}$$
B $$\frac{1}{3}{\text{M}}{l^2}$$
C $$\frac{3}{4}{\text{M}}{l^2}$$
D $$\frac{1}{{12}}{\text{M}}{l^2}$$
The moment of inertia of a thin disc of mass ‘m’ and radius ‘r’, about an axis through its center of gravity and perpendicular to the plane of the disc is
A $$\frac{{{\text{m}}{{\text{r}}^2}}}{2}$$
B $$\frac{{{\text{m}}{{\text{r}}^2}}}{4}$$
C $$\frac{{{\text{m}}{{\text{r}}^2}}}{6}$$
D $$\frac{{{\text{m}}{{\text{r}}^2}}}{8}$$
একটি দৈর্ঘ্য এবং M ভরের রডের ভরকেন্দ্র দিয়ে যায় এমন একটি লম্ব অক্ষের সাপেক্ষে রডের জড়তার ভ্রামক কত হবে? (What is the moment of inertia of a rod of length L and mass M with respect to a perpendicular axis passing through it?)
A 12ML2
B 112ML2
C 13ML2
D 25ML2
The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is
A $$\frac{1}{4}$$
B $$\frac{1}{2}$$
C $$\frac{3}{4}$$
D $$2$$
The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is
A $$\frac{{\pi {{\text{d}}^4}}}{{12}}$$
B $$\frac{{\pi {{\text{d}}^4}}}{{16}}$$
C $$\frac{{\pi {{\text{d}}^4}}}{{24}}$$
D $$\frac{{\pi {{\text{d}}^4}}}{{32}}$$
E $$\frac{{\pi {{\text{d}}^4}}}{{36}}$$
Moment of inertia of a squares of side ‘b’ about an axis through its centre of gravity, is
A $$\frac{{{{\text{b}}^3}}}{4}$$
B $$\frac{{{{\text{b}}^4}}}{{12}}$$
C $$\frac{{{{\text{b}}^4}}}{3}$$
D $$\frac{{{{\text{b}}^4}}}{8}$$
The moment of inertia of a solid cylinder of mass 'm', radius 'r' and length '$$l$$' about the longitudinal axis or polar axis is
A $$\frac{{{\text{m}}{{\text{r}}^2}}}{2}$$
B $$\frac{{{\text{m}}{{\text{r}}^2}}}{4}$$
C $$\frac{{{\text{m}}{{\text{r}}^2}}}{6}$$
D $$\frac{{{\text{m}}{{\text{r}}^2}}}{8}$$

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