1
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Distance of the center of mass of a solid uniform cone from its vertex is $$z{}_0$$. If the radius of its base is $$R$$ and its height is $$h$$ then $$z{}_0$$ is equal to :
A
$${{5h} \over 8}$$
B
$${{3{h^2}} \over {8R}}$$
C
$${{{h^2}} \over {4R}}$$
D
$${{3h} \over 4}$$
2
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
$${{M{R^2}} \over {16\sqrt {2\pi } }}$$
3
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.
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 167 English
A
$${{2g} \over 3}$$
B
$${{g} \over 2}$$
C
$${{5g} \over 6}$$
D
$$g$$
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