Embibe Experts Solutions for Chapter: Rotational Mechanics, Exercise 1: AP EAPCET 2018 (25-APR Shift-1)

Which of the following type of wheels of same mass and radius will have largest moment of inertia?

Four spheres each of diameter ' $2 \mathrm{a}$ ' and mass ' $m$ ' are placed in a way that their centers lie on the four cormers of a square of side $b$'. Moment of inertia of the system about an axis along one of the sides of the square is

A particle of mass $\text{'}m\text{'}$ is projected with a velocity $\text{'}u\text{'}$ ' making an angle $\text{'}\theta \text{'}$ with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height is

A girl of mass $M$ stands on the rim of a friction less merry-go-round, of radius $R$ and rotational inertia $I$, that is not moving. She throws a rock of mass $m$ horizontally in a direction that is tangent to the outer edge of the merry-go-round. The speed of the rock, relative to the ground is $v$. Afterwards, the linear speed of the girl is

Two fly wheels $\mathrm{A}$ and $\mathrm{B}$ are mounted side by side with frictionless bearings on a common shaft. Their moments of inertia about the shaft are $5.0 \mathrm{kg} {\mathrm{m}}^2$ and $20.0 \mathrm{kg} {\mathrm{m}}^2$ respectively. Wheel $\mathrm{A}$ is made to rotate at $10$ revolution per second. Wheel B, initially stationary, is now coupled to $\mathrm{A}$ with the help of a clutch. The rotation speed of the wheels will become

A sphere and a hollow cylinder without slipping, roll down two separate inclined planes A and B respectively. They cover same distance in a given duration. If the angle of inclination of plane A is $30°$, then and the angle of inclination of plane B must be (approximately).

If an energy of $684 \mathrm{J}$ is needed to increase the speed of a fly wheel from $180\mathrm{rpm}$ to $360\mathrm{rpm}$, then find its moment of inertia.

As solid sphere of mass ' $M$ ' and radius ' $R$ ' spins about an axis passing through its centre making $600 \mathrm{rpm}$. Its kinetic energy of rotation is