EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Rotational Motion>JEE Advanced Paper 1 - 2017>Q 17

MEDIUM

JEE Advanced

IMPORTANT

Earn 100

A block of mass $M$ has a circular cut with a frictionless surface as shown. The block rests on the horizontal frictionless surface of a fixed table. Initially the right edge of the block is at $x = 0$ , in a coordinate system fixed to the table. A point mass $m$ is released from rest at the topmost point of the path as shown and it slides down. When the mass loses contact with the block its position is $x$ and velocity is $v$ . At that instant, which of the following options is correct?

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Important Questions on Rotational Motion

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Rotational Motion>JEE Advanced Paper 1 - 2016>Q 18

A uniform wooden stick of mass

1.6 kg

and length

l

rests in an inclined manner on a smooth, vertical wall of height h

(< l)

such that a small portion of the stick extends beyond the wall. The reaction force of the wall on the stick is perpendicular to the stick. The stick makes an angle of

30^{o}

with the wall and the bottom of the stick is on a rough floor. The reaction of the wall on the stick is equal in magnitude to the reaction of the floor on the stick. The ratio

\frac{h}{l}

and the frictional force

f

at the bottom of the stick are:

(g = 10 m s^{- 2})

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Rotational Motion>JEE Advanced Paper 1 - 2016>Q 19

The position vector

\vec{r}

of a particle of mass

m

is given by the following equation

\vec{r} (t) = α t^{3} \hat{i} + β t^{2} \hat{j}, where α = \frac{10}{3} m s^{- 3}, β = 5 m s^{- 2} and m = 0.1 kg . At t = 1 s,

which of the following statements (s) is (are) true about the particle?

MEDIUM

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Rotational Motion>JEE Advanced Paper 1 - 2015>Q 21

A ring of mass

M

and radius

R

is rotating with angular speed

ω

about a fixed vertical axis passing through its centre O with two point masses each of mass

\frac{M}{8}

at rest at O. These masses can move radially outwards along two massless rods fixed on the ring as shown in the figure. At some instant the angular speed of the system is

\frac{8}{9} ω

and one of the masses is at a distance of

\frac{3}{5} R

from O. At this instant the distance of the other mass from O is

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