1
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A cubical block of side 30 cm is moving with velocity 2 ms−1 on a smooth horizontal surface. The surface has a bump at a point O as shown in figure. The angular velocity (in rad/s) of the block immediately after it hits the bump, is :

JEE Main 2016 (Online) 9th April Morning Slot Physics - Rotational Motion Question 194 English
A
5.0
B
6.7
C
9.4
D
13.3
2
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
A roller is made by joining together two cones at their vertices $$0$$. It is kept on two rails $$AB$$ and $$CD$$, which are placed asymmetrically (see figure), with its axis perpendicular to $$CD$$ and its center $$O$$ at the center of line joining $$AB$$ and $$CD$$ (see figure). It is given a light push so that it starts rolling with its center $$O$$ moving parallel to $$CD$$ in the direction shown. As it moves, the roller will tend to : JEE Main 2016 (Offline) Physics - Rotational Motion Question 210 English
A
go straight
B
turn left and right alternately
C
turn left
D
turn right
3
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
From a solid sphere of mass $$M$$ and radius $$R$$ a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its center and perpendicular to one of its face is:
A
$${{4M{R^2}} \over {9\sqrt {3\pi } }}$$
B
$${{4M{R^2}} \over {3\sqrt {3\pi } }}$$
C
$${{M{R^2}} \over {32\sqrt {2\pi } }}$$
D
$${{M{R^2}} \over {16\sqrt {2\pi } }}$$
4
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
A mass $$'m'$$ is supported by a massless string wound around a uniform hollow cylinder of mass $$m$$ and radius $$R.$$ If the string does not slip on the cylinder, with what acceleration will the mass fall or release? JEE Main 2014 (Offline) Physics - Rotational Motion Question 214 English
A
$${{2g} \over 3}$$
B
$${{g} \over 2}$$
C
$${{5g} \over 6}$$
D
$$g$$
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