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Relation between slant height and height of a right circular cone

Find centre o...

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Find centre of mass of semi circular disc if mass per unit area is 2

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Q. From a semi-circular disc of mass

M

R_{2}

. A semi-circular disc of radius

R_{1}

is removed as shown in the figure. If the mass of original uncut disc is

M

, find the momentum of inertia of residual disc about an axis passing through centre

O

and perpendicular to the plane of the disc.

Q. Mass per unit area of a circular disc of radius

^{'} a^{'}

depends on the distance

r

from its centre, as

σ (r) = A + B r

. The moment of inertia of the disc about the axis, perpendicular to the plane and passing through its centre, is:

Q. A circular disc of radius

b

has a hole of radius

a

at its centre (see figure). If the mass per unit area of the disc varies as

(\frac{σ_{0}}{r})

, then the radius of gyration of the disc about its axis passing through the centre is :

Q. A circular disc of radius

2 m

has a hole of radius

1 m

at its centre. Then, find the radius of gyration of the disc about the axis passing through its centre and perpendicular to its plane. Given that mass per unit area of the disc varies as

\frac{σ_{0}}{r}

Q. A square plate of edge 'a' and a circular disc of same diameter are placed touching each other at the midpoint of an edge of the plate as shown in figure. If mass per unit area for the two plates are same then find the distance of centre of mass of the system from the centre of the disc.

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Relation between slant height and height of a right circular cone

Standard IX Mathematics

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