Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 2

MEDIUM

NEET

IMPORTANT

Earn 100

A child sitting at the centre of a rotating stool has his arms stretched. If he folds his arms, his angular speed about the axis of rotation,

50% studentsanswered this correctly

Important Questions on System of Particles and Rotational Motion

MEDIUM

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 3

The position vector of three particles of masses,

m_{1} = 1 kg, m_{2} = 2 kg

and

m_{3} = 4 kg

are

{\vec{r}}_{1} = (\hat{i} + \hat{j}) m, {\vec{r}}_{2} = (2 \hat{i} + 5 \hat{j}) m

and

{\vec{r}}_{3} = (2 \hat{i} - \hat{j}) m

respectively. The position vector of their center of mass is,

MEDIUM

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 4

A wheel of the moment of inertia

10^{3} kg m^{2}

is rotating with an angular speed of

5 rad s^{- 1}

The torque required to stop it in

2 s

is,

MEDIUM

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 5

A particle of mass,

m

is moving with a constant velocity parallel to the

y

-axis. If at

t = 0

particle is at point

A (2 m, 0),

then the angular momentum with respect to the origin on passing time

EASY

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 6

A hollow sphere of mass

m

and radius

R

rolls on a horizontal surface without slipping such that velocity of its centre of mass is

v

. The total kinetic energy of the sphere is

EASY

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 7

If the moment of inertia of a disc about an axis which is along its diameter is

I

then the moment of inertia about the axis passing through its centre and perpendicular to plane is

EASY

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 8

A ring of mass $M$ and radius $R$ is rolling without slipping, the velocity of point $A$ as shown in the figure is

Question Image

EASY

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 9

Three particles each of mass $2 kg$ are placed at corners of an equilateral triangle of side $2 m$ as shown in figure. $y -$ co-ordinate of the centre of mass of the system of three particles is

Question Image

EASY

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 10

Starting from rest, a fan takes five seconds to attain the maximum angular speed of

\frac{20 π}{3} rad / s

with constant angular acceleration. The angular acceleration of the fan is