1
AIEEE 2008
+4
-1
Consider a uniform square plate of side $$' a '$$ and mass $$'m'$$. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is
A
$${5 \over 6}m{a^2}$$
B
$${1 \over 12}m{a^2}$$
C
$${7 \over 12}m{a^2}$$
D
$${2 \over 3}m{a^2}$$
2
AIEEE 2007
+4
-1
A round uniform body of radius $$R,$$ mass $$M$$ and moment of inertia $$I$$ rolls down (without slipping) an inclined plane making an angle $$\theta$$ with the horizontal. Then its acceleration is
A
$${{g\,\sin \theta } \over {1 - M{R^2}/I}}$$
B
$${{g\,\sin \theta } \over {1 + I/M{R^2}}}$$
C
$${{g\,\sin \theta } \over {1 + M{R^2}/I}}$$
D
$${{g\,\sin \theta } \over {1 - I/M{R^2}}}$$
3
AIEEE 2007
+4
-1
Angular momentum of the particle rotating with a central force is constant due to
A
constant torque
B
constant force
C
constant linear momentum
D
zero torque
4
AIEEE 2007
+4
-1
For the given uniform square lamina $$ABCD$$, whose center is $$O,$$
A
$${I_{AC}} = \sqrt 2 \,\,{I_{EF}}$$
B
$$\sqrt 2 {I_{AC}} = {I_{EF}}$$
C
$${I_{AD}} = 3{I_{EF}}$$
D
$${I_{AC}} = {I_{EF}}$$
EXAM MAP
Medical
NEET