1
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
A $$2$$ $$kg$$ block slides on a horizontal floor with a speed of $$4m/s.$$ It strikes a uncompressed spring, and compress it till the block is motionless. The kinetic friction force is $$15N$$ and spring constant is $$10, 000$$ $$N/m.$$ The spring compresses by
A
$$8.5cm$$
B
$$5.5cm$$
C
$$2.5cm$$
D
$$11.0cm$$
2
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
A circular disc of radius $$R$$ is removed from a bigger circular disc of radius $$2R$$ such that the circumferences of the discs coincide. The center of mass of the new disc is $$\alpha R$$ form the center of the bigger disc. The value of $$\alpha $$ is
A
$$1/4$$
B
$$1/3$$
C
$$1/2$$
D
$$1/6$$
3
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
$${{g\,\sin \theta } \over {1 - I/M{R^2}}}$$
4
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
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