NEET Questions - Physics - Rotational Motion

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Three particles of the same mass lie in the (X, Y) plane, The (X, Y) coordinates of their positions are (1, 1), (2, 2) and (3, 3) respectively. The (X,Y) coordinates of the centre of mass are

(1, 2)
(2, 2)
(1.5, 2)
(2, 1.5)

Consider a two-particle system with the particles having masses $ M_1 and M_2 $ . . If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved so as to keep the centre of mass at the same position?

$ { M_1 d \over M_1 + M_2 } $
$ { M_2 d \over M_1 + M_2 } $
$ { M_1 d \over M_2 } $
$ { M_2 d \over M_1 } $

From a uniform circular disc of radius R, a circular disc of radius R/6 and having centre at a distance + R/2 from the centre of the disc is removed. Determine the centre of mass of remaining portion of the disc.

-R /70
+R/70
-R/7
+R/7

A circular plate of uniform thickness has a diameter of 56 cm. A circular portion of diameter 42 cm. is removed from +ve x edge of the plate. Find the position of centre of mass of the remaining portion with respect to centre of mass of whole plate.'

-7 cm
+ 9 cm
-9 cm
+ 7cm

Two blocks of masses 10 kg an 4 kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse gives velocity of 14 m/s to the heavier block in the direction of the lighter block. The velocity of the centre of mass is :

30 m/s
20 m/s
10 m/s
5 m/s

A particle performing uniform circular motion has angular momentum L., its angular frequency is doubled and its K.E. halved, then the new angular momentum is :

1/2
1/4
2 L
4 L

A circular disc of radius R is removed from a bigger disc of radius 2R. such that the circumferences of the disc coincide. The centre of mass of the remaining portion is R from the centre of mass of the bigger disc. The value of $ \alpha $ is.

1/2
1/6
1/4
1/3

Three point masses M1, M2 and M3 are located at the vertices of an equilateral triangle of side 'a'. what is the moment of inertia of the system about an axis along the altitude of the triangle passing through M1, ?

$ (M_1 + M_2 ) a^2 /4 $
$ (M_2 + M_3 ) a^2 /4 $
$ (M_1 + M_3 ) a^2 /4 $
$ (M_1 + M_2 + M_3 ) a^2 /4 $

Two circular loop A & B of radi $r_a and r_b $ respectively are made from a uniform wire. The ratio of their moment of inertia about axis passing through their centres and perpendicular to their planes is $ { I_B \over I_A} = 8 $ then $ {rb \over ra } $ is equal to .......

2
4
6
8

If the earth were to suddenly contract so that its radius become half of it present radius, without any change in its mass, the duration of the new day will be…

6 hr
12 hr
18 hr
30 hr

In HC1 molecule the separation between the nuclei of the two atoms is about $ 1.27 A ^\circ ( 1 A ^\circ = 10 ^{ -10 } m ) $ .The approximate location of the centre of mass of the molecule is ........$A ^\circ \hat i $ with respect of Hydrogen atom ( mass of CL is 35.5 times of mass of hydrogen )

1
2.5
1.24
1.5

Identify the correct statement for the rotational motion of a rigid body

Individual particles of the body do not undergo accelerated motion
The center of mass of the body remains unchanged.
The center of mass of the body moves uniformly in a circular path
Individual particle and centre of mass of the body undergo an accelerated motion.

A car is moving at a speed of 72 km/hr the radius of its wheel is 0.25m. If the wheels are stopped in 20 rotations after applying breaks then angular retardation produced by the breaks is ……

$ -25.5 rad / s^ 2 $
$ -29.5 rad / s^ 2 $
$ -33.5 rad / s^ 2 $
$ -45.5 rad / s^ 2 $

A wheel rotates with a constant acceleration of $ 2.0 rad /sec ^ 2 $ If the wheel start from rest. The number of revolution it makes in the first ten seconds will be approximately.

8
16
24
32

Two discs of the same material and thickness have radii 0.2 m and 0.6 m their moment of inertia about their axes will be in the ratio

1:81
1:27
1:9
1:3

NEET Physics Questions: Rotational Motion