1
AIEEE 2007
MCQ (Single Correct Answer)
+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
$${{g\,\sin \theta } \over {1 - I/M{R^2}}}$$
2
AIEEE 2007
MCQ (Single Correct Answer)
+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
3
AIEEE 2007
MCQ (Single Correct Answer)
+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
$${I_{AC}} = {I_{EF}}$$
4
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
Four point masses, each of value $$m,$$ are placed at the corners of a square $$ABCD$$ of side $$l$$. The moment of inertia of this system about an axis passing through $$A$$ and parallel to $$BD$$ is
A
$$2m{l^2}$$
B
$$\sqrt 3 m{l^2}$$
C
$$3m{l^2}$$
D
$$m{l^2}$$
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