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
A thin spherical shell of internal diameter d is subjected to an internal pressure p. If $${\sigma _{\text{t}}}$$ is the tensile stress for the shell material, then thickness of shell is equal to
A $$\frac{{{\text{pd}}}}{{{\sigma _{\text{t}}}}}$$
B $$\frac{{{\text{pd}}}}{{2{\sigma _{\text{t}}}}}$$
C $$\frac{{{\text{pd}}}}{{3{\sigma _{\text{t}}}}}$$
D $$\frac{{{\text{pd}}}}{{4{\sigma _{\text{t}}}}}$$
A thin spherical shell of internal diameter d is subjected to an internal pressure p. If V is the storage capacity of shell, then its diameter will be
A $${\left( {\frac{{6{\text{V}}}}{\pi }} \right)^{\frac{1}{2}}}$$
B $${\left( {\frac{{6{\text{V}}}}{\pi }} \right)^{\frac{1}{3}}}$$
C $${\left( {\frac{{6{\text{V}}}}{\pi }} \right)^2}$$
D $${\left( {\frac{{6{\text{V}}}}{\pi }} \right)^3}$$
A thin spherical shell of diameter (d) and thickness (t) is subjected to an internal pressure (p). The stress in the shell material is
A $$\frac{{{\text{pd}}}}{{\text{t}}}$$
B $$\frac{{{\text{pd}}}}{{2{\text{t}}}}$$
C $$\frac{{{\text{pd}}}}{{4{\text{t}}}}$$
D $$\frac{{{\text{pd}}}}{{8{\text{t}}}}$$
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 $$\frac{{{\text{m}}{{\text{r}}^2}}}{8}$$
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 $$2$$
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
The moment of inertia of a thin rod of mass 'm' and length '$$l$$', about an axis through its centre of gravity and perpendicular to its length is
A $$\frac{{{\text{m}}{l^2}}}{4}$$
B $$\frac{{{\text{m}}{l^2}}}{6}$$
C $$\frac{{{\text{m}}{l^2}}}{8}$$
D $$\frac{{{\text{m}}{l^2}}}{{12}}$$
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

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