The moment of inertia of a solid sphere of mass m and radius r is -

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

$$\frac{{3{\text{m}}{{\text{r}}^2}}}{5}$$

The moment of inertia of a solid sphere of mass m and radius r is -

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