JEE Main 2015 (Offline) | Rotational Motion Question 183 | Physics

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:

$${{4M{R^2}} \over {9\sqrt {3\pi } }}$$

$${{4M{R^2}} \over {3\sqrt {3\pi } }}$$

$${{M{R^2}} \over {32\sqrt {2\pi } }}$$

$${{M{R^2}} \over {16\sqrt {2\pi } }}$$

JEE Main 2014 (Offline)

MCQ (Single Correct Answer)

-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 188 English

JEE Main 2014 (Offline) Physics - Rotational Motion Question 188 English

$${{2g} \over 3}$$

$${{g} \over 2}$$

$${{5g} \over 6}$$

$$g$$

JEE Main 2014 (Offline)

MCQ (Single Correct Answer)

-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:

angular momentum is conserved

angular momentum changes in magnitude but not in direction.

angular momentum changes in direction but not in magnitude.

angular momentum changes both in direction and magnitude.

JEE Main 2013 (Offline)

MCQ (Single Correct Answer)

-1

A hoop of radius $$r$$ and mass $$m$$ rotating with an angular velocity $${\omega _0}$$ is placed on a rough horizontal surface. The initial velocity of the center of the hoop is zero. What will be the velocity of the center of the hoop when it cases to slip?

$${{r{\omega _0}} \over 4}$$

$${{r{\omega _0}} \over 3}$$

$${{r{\omega _0}} \over 2}$$

$${r{\omega _0}}$$

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