1
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
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 :

A
5.0
B
6.7
C
9.4
D
13.3
2
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
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 :
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
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 bob of mass $$m$$ attached to an inextensible string of length $$l$$ is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed $$\omega \,rad/s$$ about the vertical. About the point of suspension:
A
angular momentum is conserved
B
angular momentum changes in magnitude but not in direction.
C
angular momentum changes in direction but not in magnitude.
D
angular momentum changes both in direction and magnitude.
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