Centre of mass of a body
must lie somewhere inside the body
is located at the geometric centre of the body
lies at the geometric centre of the body provided it is of uniform density
is synonymous with centre of gravity.
From a rectangular plate whose cross-section is 8 cm * 6 cm, circular disc of 3 cm2 in area is removed. If CG of the reminder is 1 mm from the CG of the rectangular plate, the distance of the centre of disc from the centre of rectangular plate is
1.0 cm
1.5 cm
2.5 cm
3 cm
The moment of inertia MOI of a body is
the moment of its inertia
the rotational analogue of mass
the rotational moment acting on the body
the inertial moment acting on the body
/
S m x
S m x2
S m x2
S m x
S m2 x
S m
The MOI of a body does not depend upon
shape of the body
mass of the body and its distribution within the body
axis of rotation of the body
angular velocity of the body
Identify the incorrect statement/statements :
The area moment of inertia and the mass moment of inertia are two entirely unrelated concepts
An axis passing’s through the centroid and lying in the plane is called centroidal axis
Moment of inertia of a body equals twice the kinetic energy of rotation when angular velocity of the body is unity
Radius of gyration is the effective distance where the entire mass may be considered to be located with respect to the axis of rotation
None of the above
The moment of inertia of an area is always least with respect to
centroidal axis
vertical axis
radius of gyration
depends upon configuration of the area
Identify the wrong statement/statements.
If the distance between CG of two masses m1 and m2 is l, then the distance of CG of the composite system from mass m1 will be