The mass of a solid circular disc is $500 g$ , the circumference is $3.14 m$ and thickness is $5 mm$ . The moment of Inertia of the disc about an axis tangential to the rim and perpendicular to the plane of rotation is

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Important Questions on Rotational Mechanics

MEDIUM

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Rotational Mechanics>Assam CEE 2017>Q 2

A small object of uniform density rolls up a curved surface with an initial velocity $v$ . It reaches up to a maximum height of $\frac{3 v^{2}}{4 g}$ with respect to the initial position. The object is

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HARD

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Rotational Mechanics>Assam CEE 2016>Q 3

Consider three circular discs each with radius

R

and mass

M

. The first disc has uniform mass per unit area, the second disc has a mass per unit area

\propto r

and the third disc has a mass per unit area

\propto \frac{1}{r}

. Here,

r

is the distance from the centre of the disc. Which of these discs has the lowest moment of inertia about an axis passing through the centre and perpendicular to the plane of the disc? (Or in other words, which of the discs is the easiest to rotate about the given axis?)

HARD

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Rotational Mechanics>Assam CEE 2016>Q 4

The rope of a kite is wound around a hollow cylinder of mass