1
AIEEE 2005
+4
-1
A T shaped object with dimensions shown in the figure, is lying on a smooth floor. A force $$'\,\,\overrightarrow F \,\,'$$ is applied at the point $$P$$ parallel to $$AB,$$ such that the object has only the translational motion without rotation. Find the location of $$P$$ with respect to $$C.$$
A
$${3 \over 2}L$$
B
$${2 \over 3}L$$
C
$$L$$
D
$${4 \over 3}L$$
2
AIEEE 2004
+4
-1
A machine gun fires a bullet of mass $$40$$ $$g$$ with a velocity $$1200m{s^{ - 1}}.$$ The man holding it can exert a maximum force of $$144$$ $$N$$ on the gun. How many bullets can he fire per second at the most?
A
Two
B
Four
C
One
D
Three
3
AIEEE 2003
+4
-1
Consider the following two statements :

$$A.$$ Linear momentum of a system of particles is zero

$$B.$$ Kinetic energy of a system of particles is zero.

then
A
$$A$$ does not imply $$B$$ and $$B$$ does not imply $$A$$
B
$$A$$ implies $$B$$ but $$B$$ does not imply $$A$$
C
$$A$$ does not imply $$B$$ but $$B$$ implies $$A$$
D
$$A$$ implies $$B$$ and $$B$$ implies $$A$$
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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