The centre of gravity of a uniform lamina lies at

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 center of gravity of a uniform lamina lies at

A

The center of heavy portion

B

The bottom surface

C

The mid point of its axis

D

All of the above

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

The centre of pressure for a vertically immersed surface lies at a distance equal to __________ the centre of gravity.

A

$$\frac{{{I_{\text{G}}}}}{{{\text{A}}\overline {\text{x}} }}{\text{ below}}$$

B

$$\frac{{{I_{\text{G}}}}}{{{\text{A}}\overline {\text{x}} }}{\text{ above}}$$

C

$$\frac{{{\text{A}}\overline {\text{x}} }}{{{I_{\text{G}}}}}{\text{ below}}$$

D

$$\frac{{{\text{A}}\overline {\text{x}} }}{{{I_{\text{G}}}}}{\text{ above}}$$

The C.G. of a plane lamina will not be at its geometrical centre in the case of a

A

Right angled triangle

B

Equilateral triangle

C

Square

D

Circle

Centre 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 centre of gravity of a quadrant of a circle lies along its central radius at a distance of

A

0.2 R

B

0.4 R

C

0.3 R

D

0.6 R

Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of

A

One-half of the total height above base

B

One-third of the total height above base

C

One-fourth of the total height above base

D

None of these

The centre of percussion is below the centre of gravity of the body and is at a distance equal to

A

h / kG

B

h.kG

C

h2/kG

D

k2G/h

The centre of pressure acts __________ the centre of gravity of immersed surface.

A

At

B

Above

C

Below

D

None of these

The centre of gravity of a uniform lamina lies at

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