06

ROTATIONAL
MOTION
Page
1
( Answers
at
the
end
of
all
questions )
1 )
A
body
A
of
mass
M
while
falling
vertically
downwards
under
gravity
breaks
into
two
parts,
a
body
B
of
mass
( 1
/
3 ) M
and
a
body
C
of
mass
( 2
/
3 ) M.
The
centre
of
mass
of
bodies
B
and
C
taken
together
shifts
compared
to
body
A
towards
( a )
does
not
shift
( b )
depends
on
height
of
breaking
( c )
body
B
( d )
body
C
[ AIEEE
2005 ]
2 )
The
moment
of
inertia
of
a
uniform
semicircular
disc
of
mass
M
and
radius
r
about
a
line
perpendicular
to
the
plane
of
the
disc
through
the
centre
is
( a )
( 2
/
5 )
Mr
2
( b )
( 1
/
4 )
Mr
2
( c )
( 1
/
2 )
Mr
2
( d )
Mr
2
[ AIEEE
2005 ]
3 )
A
‘T’
shaped
object
with
dimensions
shown
in
the
figure,
is
lying
on
a
smooth
floor.
A
force
‘
→
F ’
is
applied
at
the
point
P
parallel
to
AB,
such
that
the
object
has
only
translational
motion
without
rotation.
Find
the
location
of
P
with
respect
to
C.
( a )
( 3
/
2 )
l
( b )
( 2
/
3 )
l
( c )
l
( d )
( 4
/
3 )
l
[ AIEEE
2005 ]
4 )
A
solid
sphere
is
rotating
in
free
space.
If
the radius
of
the
sphere
is
increased
keeping
mass
same,
which
one
of
the
following
will
not
be
affected ?
( a )
Moment
of
inertia
( b )
Angular
momentum
( c )
Angular
velocity
( d )
Rotational kinetic
energy
[ AIEEE
2004 ]
5 )
One
solid
sphere
A
and
another
hollow
sphere
B
are
of
same
mass
and
same
outer
radii.
Their
moment
of inertia
about their
diameters
are
respectively
Ι
A
and
Ι
B
such
that
( a )
Ι
A
=
Ι
B
( b )
Ι
A
>
Ι
B
( c )
Ι
A
<
Ι
B
( d )
Ι
A
/ Ι
B
=
d
A
/
d
B
[ AIEEE
2004 ]
6 )
A
particle
performing
uniform
circular
motion
has
angular
momentum
L.
If
its
angular
frequency
is
doubled
and
its
kinetic
energy
halved,
then
the
new
angular
momentum
is
( a )
L
/
2
( b )
L
/
4
( c )
2 L
( d )
4 L
[ AIEEE
2003 ]
7 )
Let
→
F
be
the
force
acting
on
a
particle
having
position
vector
→
r ,
and
→
τ
be
the
torque
of
this
force
about
the
origin.
Then
( a )
→
→
τ
.
r
=
0
and
→
→
τ
.
F
=
0
( b )
→
→
τ
.
r
=
0
and
→
→
τ
.
F
≠
0
( c )
→
→
τ
.
r
≠
0
and
→
→
τ
.
F
=
0
( d )
→
→
τ
.
r
≠
0
and
→
→
τ
.
F
≠
0
[ AIEEE
2003 ]
8 )
A
circular
disc
X
of
radius
R
is
made
from
an
iron
plate
of
thickness
t,
and
another
disc
Y
of
radius
4R
is
made
from
an
iron
plate
of
thickness
t
/
4.
The
relation
between
the
moments
of
inertia
Ι
x
and
Ι
y
is
( a )
Ι
y
=
64
Ι
x
( b )
Ι
y
=
32
Ι
x
( c )
Ι
y
=
16
Ι
x
( d )
Ι
y
=
Ι
x
[ AIEEE
2003 ]
9 )
The
moment
of
inertia
of
a
rigid
body
depends
upon
( a )
mass
of
the
body
( b )
angular
acceleration
of
the
body
( c )
angular
velocity
of
the
body
( d )
distribution
of
mass
from
the
axis
of
rotation
[ AIEEE
2002 ]
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ROTATIONAL
MOTION
Page
2
( Answers
at
the
end
of
all
questions )
10 )
If
moment
of
inertia
of
a
wheel,
having
radius
of
gyration
60
cm,
is
360
kgm
2
,
then
mass
of
the
wheel
is
( a )
200
kg
( b )
500
kg
( c )
800
kg
( d )
1000
kg
[ AIEEE
2002 ]
11 )
A
particle
moves
on
a
circular
path
with
decreasing
speed.
Choose
the
correct
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 Spring '06
 Jones
 Angular Momentum, Kinetic Energy, Moment Of Inertia, Rigid Body, Rotation

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