System of Particles and Rotational Motion: Angular Kinematics

In this quiz, you will find questions based on the system of particles, the center of mass, moment of inertia, and rotational motion of objects.

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There are two external forces acting on a system of particles. Select the correct statement.

Linear momentum is necessarily not conserved Linear momentum may be conserved Linear momentum is zero Centre of mass will move with increasing speed

A radioactive particle at rest, having mass 10g, breaks into 2 fragments (1&2) in the mass ratio 2:3 respectively. If the first one moves with a velocity of 10m/s what will be the speed of the second particle?

4.33 m/s -4.33 m/s -6.67 m/s 6.67 m/s

On collision of two balls linear momentum is conserved, it implies that even kinetic energy will remain conserved. True or False?

True False

A ball of mass 2kg is moving with a speed of 10m/s along a flat surface. It collides with another ball of mass 3kg and comes to rest, what will be the speed of the second ball after collision?

The above said situation is not possible 20m/s Zero 6.67m/s

A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is

L/2 L/4 2 L 4 L

A car is moving with a speed of 108 km/hr on a circular path of radius 500 m. Its speed is increasing at the rate of 2 m/s. What is the acceleration of the car?

9.8 m/s² 2.7 m/s² 3.6 m/s² 1.8 m/s²

The moment of inertia of uniform circular disc about an axis passing its centre is 6kgm². its M.I. about an axis perpendicular to its plane and just touching the rim will be

18 kg m² 30 kg m² 15 kg m² 3 kg m²

Two particles A and B, initially at rest, moves towards each other under a mutual force of attraction. At the instant when the speed of A is u and the speed of B is 2 u, the speed of centre of mass is,

Zero u 1.5 u 3 u

The kinetic energy of a body is 4 joule and its moment of inertia is 2 kg m² then angular momentum is

4 kg m²/sec 5 kg m²/sec 6 kg m²/sec 7 kg m²/sec

Which of the following is the mathematical representation of law of conservation of total linear momentum?

dP/dt = 0 dF/dt = 0 dP/dt = Finternal dF/dt = P

A thin uniform, circular ring is rolling down an inclined plane of inclination 300 without slipping. Its linear acceleration along the inclined plane will be

g/2 g/3 g/4 2g/3

Moment of inertia depends on

Distribution of particles Mass Position of axis of rotation All of these

Calculate the M.I. of a thin uniform ring about an axis tangent to the ring and in a plane of the ring, if its M.I. about an axis passing through the centre and perpendicular to plane is 4 kg m².

12 kg m² 3 kg m² 6 kg m² 9 kg m²

If a body is rotating about an axis, passing through its centre of mass then its angular momentum is directed along its

Radius Tangent Circumference Axis of rotation

A solid cylinder of mass 20 kg, has length 1 metre and radius 0.5m. then its momentum of inertia in kg m² about its geometrical axis is

2.5 5 1.5 3

Quiz/Test Summary

Title: System of Particles and Rotational Motion: Angular Kinematics

Questions: 15

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