Related Questions

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
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)-
A 12 Mr
B M/3r
C M/12r
D (1/2)mr^2
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
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 solid cone of mass ‘m’ and base radius ‘r’ about its vertical axis is
A $$\frac{{3{\text{m}}{{\text{r}}^2}}}{5}$$
B $$\frac{{3{\text{m}}{{\text{r}}^2}}}{{10}}$$
C $$\frac{{2{\text{m}}{{\text{r}}^2}}}{5}$$
D $$\frac{{4{\text{m}}{{\text{r}}^2}}}{5}$$
The height of a cylinder is four times the radius of the cylinder. If the volume of the cylinder is 256 cm², what is the radius of the cylinder.
A 4 cm
B 8 cm
C 16 cm
D 24 cm
The polar moment of inertia of a solid circular shaft of diameter (D) is
A $$\frac{{\pi {{\text{D}}^3}}}{{16}}$$
B $$\frac{{\pi {{\text{D}}^3}}}{{32}}$$
C $$\frac{{\pi {{\text{D}}^4}}}{{32}}$$
D $$\frac{{\pi {{\text{D}}^4}}}{{64}}$$
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 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 $$\frac{{{\text{m}}{l^2}}}{{12}}$$
The moment of inertia of a solid sphere of mass ‘m’ and radius ‘r’ is
A $$\frac{{2{\text{m}}{{\text{r}}^2}}}{3}$$
B $$\frac{{2{\text{m}}{{\text{r}}^2}}}{5}$$
C $${\text{m}}{{\text{r}}^2}$$
D $$\frac{{{\text{m}}{{\text{r}}^2}}}{2}$$

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