Related Questions

The centre of gravity of a uniform lamina lies at
A The centre of heavy portion
B The bottom surface
C The midpoint of its axis
D All of the above
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 $$\frac{{\pi {{\text{d}}^4}}}{{36}}$$
The periodic time of a compound pendulum is __________ when the distance between the point of suspension and the center of gravity is equal to the radius of gyration of the body about its center of gravity.
A Zero
B Minimum
C Maximum
D None of these
At the instantaneous center, the velocity of the moving lamina at any instant is
A Zero
B Maximum
C Minimum
D Varying
The centre of gravity of a plane lamina will not be at its geometrical centre if it is a
A Circle
B Equilateral triangle
C Rectangle
D Right angled triangle
Center of gravity of a thin hollow cone lies on the axis at a height of
A One-fourth of the total height above base
B One-third of the total height above base
C One-half of the total height above base
D Three-eighth of the total height above the base
The center of gravity of a triangle lies at the point of
A Concurrence of the medians
B Intersection of its altitudes
C Intersection of bisector of angles
D Intersection of diagonals
Center of gravity of a solid cone lies on the axis at the height
A One-fourth of the total height above base
B One-third of the total height above base
C One-half of the total height above base
D Three-eighth of the total height above the base
The center of gravity of a semi-circle lies at a distance of __________ from its base measured along the vertical radius.
A $$\frac{{3{\text{r}}}}{8}$$
B $$\frac{{4{\text{r}}}}{{3\pi }}$$
C $$\frac{{8{\text{r}}}}{3}$$
D $$\frac{{3{\text{r}}}}{{4\pi }}$$
The center of gravity of a quadrant of a circle lies along its central radius (r) at a distance of
A 0.5 r
B 0.6 r
C 0.7 r
D 0.8 r

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