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
ক Same as
খ Twice
গ Thrice
ঘ Four times
The moment of inertia of a solid sphere of mass ‘m’ and radius ‘r’ is
ক $$\frac{{2{\text{m}}{{\text{r}}^2}}}{3}$$
খ $$\frac{{2{\text{m}}{{\text{r}}^2}}}{5}$$
গ $${\text{m}}{{\text{r}}^2}$$
ঘ $$\frac{{{\text{m}}{{\text{r}}^2}}}{2}$$
The moment of inertia of a sphere of mass 'm' and radius 'r', about an axis tangential to it, is
ক $$\frac{2}{3}{\text{m}}{{\text{r}}^2}$$
খ $$\frac{2}{5}{\text{m}}{{\text{r}}^2}$$
গ $$\frac{7}{3}{\text{m}}{{\text{r}}^2}$$
ঘ $$\frac{7}{5}{\text{m}}{{\text{r}}^2}$$
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.
ক Equal to
খ Twice
গ Three times
ঘ Four times
The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is
ক $$\frac{1}{4}$$
খ $$\frac{1}{2}$$
গ $$\frac{3}{4}$$
ঘ $$2$$
M ভরের ও r ব্যাসার্ধের একটি নিরেট সিলিন্ডারের নিজ অক্ষের সাপেক্ষে জড়তার ভ্রামক হচ্ছে(moment of inertia of a solid cylinder of mass M and radius r about its own axis is)-
ক 12 Mr
খ M/3r
গ M/12r
ঘ (1/2)mr^2
The moment of inertia of a solid cylinder of mass 'm', radius 'r' and length '$$l$$' about the longitudinal axis or polar axis is
ক $$\frac{{{\text{m}}{{\text{r}}^2}}}{2}$$
খ $$\frac{{{\text{m}}{{\text{r}}^2}}}{4}$$
গ $$\frac{{{\text{m}}{{\text{r}}^2}}}{6}$$
ঘ $$\frac{{{\text{m}}{{\text{r}}^2}}}{8}$$
The moment of inertia of a solid cone of mass ‘m’ and base radius ‘r’ about its vertical axis is
ক $$\frac{{3{\text{m}}{{\text{r}}^2}}}{5}$$
খ $$\frac{{3{\text{m}}{{\text{r}}^2}}}{{10}}$$
গ $$\frac{{2{\text{m}}{{\text{r}}^2}}}{5}$$
ঘ $$\frac{{4{\text{m}}{{\text{r}}^2}}}{5}$$
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
ক $$\frac{{{\text{m}}{{\text{r}}^2}}}{2}$$
খ $$\frac{{{\text{m}}{{\text{r}}^2}}}{4}$$
গ $$\frac{{{\text{m}}{{\text{r}}^2}}}{6}$$
ঘ $$\frac{{{\text{m}}{{\text{r}}^2}}}{8}$$
The moment of inertia of a thin spherical shell of mass m and radius r, about its diameter is
ক $$\frac{{{\text{m}}{{\text{r}}^2}}}{3}$$
খ $$\frac{{2{\text{m}}{{\text{r}}^2}}}{3}$$
গ $$\frac{{2{\text{m}}{{\text{r}}^2}}}{5}$$
ঘ $$\frac{{3{\text{m}}{{\text{r}}^2}}}{5}$$

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