1.

    A point on a rotating disc is 0.5m from the center. If its linear speed is 2 m/s, what is its angular speed?

    A

    1 rad/s

    B

    2 rad/s

    C

    4 rad/s

    D

    8 rad/s

    Question Tags
    πŸ“š Subject:Physics
    πŸ“‘ Chapter:Systems Of Particles And Rotational Motion
    🎯Topic:Rotational Variables
    πŸŽ“ Ncert Level:Application
    🎯Difficulty :Easy
    ⚑ Time Required :0.5 mins
    πŸ”„Ncert Concepts :Rotational Motion, Angular Speed, Linear Speed

    Related Questions

    1.

    A bomb travelling in a parabolic path under gravity, explodes in mid air. The centre of mass of fragments will move

    A

    Vertically upwards and then downwards

    B

    Vertically downwards

    C

    In an irregular path

    D

    In the parabolic path as the unexploded bomb would have travelled

    Question Tags
    πŸ“š Subject:Physics
    πŸ“‘ Chapter:Systems Of Particles And Rotational Motion
    🎯Topic:Rotational Variables
    πŸŽ“ Ncert Level:Application
    🎯Difficulty :Medium
    ⚑ Time Required :2 mins
    πŸ”„Ncert Concepts :center of mass, projectile motion, conservation of momentum

    2.

    If a wheel completes 10 rotations in 5 seconds, what is its average angular speed in rad/s?

    A

    2Ο€ rad/s

    B

    4Ο€ rad/s

    C

    10Ο€ rad/s

    D

    20Ο€ rad/s

    Question Tags
    πŸ“š Subject:Physics
    πŸ“‘ Chapter:Systems Of Particles And Rotational Motion
    🎯Topic:Rotational Variables
    πŸŽ“ Ncert Level:Application
    🎯Difficulty :Easy
    ⚑ Time Required :0.5 mins
    πŸ”„Ncert Concepts :Rotational Motion, Angular Speed

    3.

    A disc is rotating about an axis perpendicular to its plane and passing through its center. If its radius is doubled and its mass is halved, keeping the angular velocity constant, what happens to its angular momentum?

    A

    Doubles

    B

    Halves

    C

    Remains the same

    D

    Quadruples

    Question Tags
    πŸ“š Subject:Physics
    πŸ“‘ Chapter:Systems Of Particles And Rotational Motion
    🎯Topic:Rotational Variables
    πŸŽ“ Ncert Level:Application
    🎯Difficulty :Medium
    ⚑ Time Required :1 mins
    πŸ”„Ncert Concepts :Angular Momentum, Moment of Inertia

    4.

    Two bodies of masses 2 kg and 4 kg are moving with velocities 20 msβˆ’1{\rm{m}}{{\rm{s}}^{ - 1}} and 10 msβˆ’1{\rm{m}}{{\rm{s}}^{ - 1}} towards each other due to mutual gravitation attraction. What is the velocity of their centre of mass?

    A

    5 msβˆ’1{\rm{m}}{{\rm{s}}^{ - 1}}

    B

    6 msβˆ’1{\rm{m}}{{\rm{s}}^{ - 1}}

    C

    8 msβˆ’1{\rm{m}}{{\rm{s}}^{ - 1}}

    D

    Zero

    Question Tags
    πŸ“š Subject:Physics
    πŸ“‘ Chapter:Systems Of Particles And Rotational Motion
    🎯Topic:Rotational Variables
    πŸŽ“ Ncert Level:Application
    🎯Difficulty :Medium
    ⚑ Time Required :2 mins
    πŸ”„Ncert Concepts :Center of mass velocity, Conservation of momentum

    5.

    The centre of mass of a system cannot change its state of motion, unless there is external force acting on it. Yet the internal force of the brakes can bring a car to rest. Then

    A

    The brakes stop the wheels

    B

    The friction between the brake pads and the wheel stop the car

    C

    The car is stopped by the road

    D

    The car is stopped by the driver pressing the pedal

    Question Tags
    πŸ“š Subject:Physics
    πŸ“‘ Chapter:Systems Of Particles And Rotational Motion
    🎯Topic:Rotational Variables
    πŸŽ“ Ncert Level:Analyzing
    🎯Difficulty :Medium
    ⚑ Time Required :3 mins
    πŸ”„Ncert Concepts :Center of Mass, Internal vs External Forces, Friction

    6.

    If linear velocity is constant then angular velocity is proportional to

    A

    1r\frac{1}{r}

    B

    1r2\frac{1}{{{r^2}}}

    C

    1r3\frac{1}{{{r^3}}}

    D

    1r5\frac{1}{{{r^5}}}

    Question Tags
    πŸ“š Subject:Physics
    πŸ“‘ Chapter:Systems Of Particles And Rotational Motion
    🎯Topic:Rotational Variables
    πŸŽ“ Ncert Level:Application
    🎯Difficulty :Medium
    ⚑ Time Required :2 mins
    πŸ”„Ncert Concepts :Linear Velocity, Angular Velocity, Relationship between linear and angular velocity

    7.

    Two bodies of 6 kg and 4 kg masses have their velocity 5i^βˆ’2j^+10k^ and 10i^βˆ’2j^+5k^5\hat i - 2\hat j + 10\hat k\,and\,10\hat i - 2\hat j + 5\hat k respectively. Then the velocity of their centre of mass is

    A

    5i^+2j^βˆ’8k^ 5\hat i + 2\hat j - 8\hat k\,

    B

    7i^+2j^βˆ’8k^7\hat i + 2\hat j - 8\hat k

    C

    7i^βˆ’2j^+8k^7\hat i - 2\hat j + 8\hat k

    D

    5i^βˆ’2j^+8k^5\hat i - 2\hat j + 8\hat k

    Question Tags
    πŸ“š Subject:Physics
    πŸ“‘ Chapter:Systems Of Particles And Rotational Motion
    🎯Topic:Rotational Variables
    πŸŽ“ Ncert Level:Application
    🎯Difficulty :Medium
    ⚑ Time Required :2 mins
    πŸ”„Ncert Concepts :Center of mass velocity, Vector addition, Mass-weighted average

    8.

    In an elastic head on collision between two particles

    A

    Velocity of separation is equal to the velocity of approach

    B

    Velocity of the target is always more than the velocity of the projectile

    C

    The maximum velocity of the target is double to that of the projectile

    D

    Maximum transfer of kinetic energy occurs when masses of both projectile and target are equal

    Question Tags
    πŸ“š Subject:Physics
    πŸ“‘ Chapter:Systems Of Particles And Rotational Motion
    🎯Topic:Rotational Variables
    πŸŽ“ Ncert Level:Understanding
    🎯Difficulty :Medium
    ⚑ Time Required :2 mins
    πŸ”„Ncert Concepts :Elastic Collision, Conservation of Kinetic Energy, Relative Velocity

    9.

    Moment of inertia of big drop in II. If 8 droplets are formed from big drop, then moment of inertia of small droplet is

    A

    I32\frac{I}{{32}}

    B

    I16\frac{I}{{16}}

    C

    I8\frac{I}{8}

    D

    I4\frac{I}{4}

    Question Tags
    πŸ“š Subject:Physics
    πŸ“‘ Chapter:Systems Of Particles And Rotational Motion
    🎯Topic:Rotational Variables
    πŸŽ“ Ncert Level:Application
    🎯Difficulty :Medium
    ⚑ Time Required :3 mins
    πŸ”„Ncert Concepts :moment of inertia, volume conservation, sphere

    10.

    A T shape with dimensions shown in Figure is lying on a smooth floor. A force F⃗\vec F is applied at the point PP parallel to ABAB, such that the object has only the translation motion without rotation. Find the location of PP with respect to CC

    A

    x = a/2, y = b/2

    B

    x = 0, y = 0

    C

    x = a, y = 0

    D

    y = 0

    Question Tags
    πŸ“š Subject:Physics
    πŸ“‘ Chapter:Systems Of Particles And Rotational Motion
    🎯Topic:Rotational Variables
    πŸŽ“ Ncert Level:Application
    🎯Difficulty :Medium
    ⚑ Time Required :3 mins
    πŸ”„Ncert Concepts :Center of mass, Torque, Translational motion, Rotational motion

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