1
AIEEE 2002
+4
-1
Initial angular velocity of a circular disc of mass $$M$$ is $${\omega _1}.$$ Then two small spheres of mass $$m$$ are attached gently to diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc?
A
$$\left( {{{M + m} \over M}} \right)\,\,{\omega _1}$$
B
$$\left( {{{M + m} \over m}} \right)\,\,{\omega _1}$$
C
$$\left( {{M \over {M + 4m}}} \right)\,\,{\omega _1}$$
D
$$\left( {{M \over {M + 2m}}} \right)\,\,{\omega _1}$$
2
AIEEE 2002
+4
-1
A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)
A
solid sphere
B
hollow sphere
C
ring
D
all same
3
AIEEE 2002
+4
-1
A particle of mass $$m$$ moves along line PC with velocity $$v$$ as shown. What is the angular momentum of the particle about P? A
$$mvL$$
B
$$mvl$$
C
$$mvr$$
D
zero
4
AIEEE 2002
+4
-1
Two identical particles move towards each other with velocity $$2v$$ and $$v$$ respectively. The velocity of center of mass is
A
$$v$$
B
$$v/3$$
C
$$v/2$$
D
zero
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