NEET / AIIMS
Only One Option Correct Type
- A ‘T ’ shaped object with dimension shown in the
gure, is lying on a smooth oor. A force 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)
4
3
l
(b) l
l
2 l
A
FP
C
B
(c)
2
3
l
(d)
3
2
l
- A particle of mass m moving with velocity u makes
an elastic one dimensional collision with a stationary
particle of mass m. ey are in contact for a brief
time T. eir force of interaction increases from
zero to F 0 linearly in time T
2
and decreases linearly
to zero in further time T
2
. e magnitude of F 0 is
(a)
mu
T
(b)
2 mu
T
(c)
mu
2 T^ (d) None of these
- A circular ring of mass 6 kg and radius a is placed
such that its centre lies at the origin. Two particles
of masses 2 kg each are placed at the intersecting
points of the circle with positive X-axis and positive
Y-axis. en, the angle made by the position vector
of centre of mass of entire system with X-axis is
(a) 45° (b) 60°
(c) tan−
1 4
5
(d) 30°
- e motor of an engine is rotating about its axis
with an angular velocity of 100 rpm. It comes to rest
in 15 s, aer being switched o. Assuming constant
angular deceleration. What are the numbers of
revolutions made by it before coming to rest?
(a) 12.5 (b) 40 (c) 32.6 (d) 15.6 - Two uniform rods of equal
length but dierent masses
are rigidly joined to form an
L-shaped body, which is then
pivoted as shown in gure. If in
equilibrium the body is in the
shown conguration, ratio M/m will be
(a) 2 (b) 3 (c) 2 (d) 3 - Four point masses each
of value m, are placed at
the corners of a square
ABCD of side l. e
moment of inertia of
the system about an axis
passing through A and
parallel to BD is
(a) 3 ml^2 (b) 3 ml^2 (c) ml^2 (d) 2ml^2
M
30°
90°
m
A
X
D
O
B
l
l
C
Y
System of Particles
and
Rotational Motion
Class XI
Total Marks : 120 Time Taken : 60 Min.