1
AIEEE 2009
+4
-1
A thin uniform rod of length $$l$$ and mass $$m$$ is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is $$\omega$$. Its center of mass rises to a maximum height of:
A
$${1 \over 6}\,\,{{l\omega } \over g}$$
B
$${1 \over 2}\,\,{{{l^2}{\omega ^2}} \over g}$$
C
$${1 \over 6}\,\,{{{l^2}{\omega ^2}} \over g}$$
D
$${1 \over 3}\,\,{{{l^2}{\omega ^2}} \over g}$$
2
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
$${2 \over 3}m{a^2}$$
3
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
$${{g\,\sin \theta } \over {1 - I/M{R^2}}}$$
4
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
EXAM MAP
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