Pure Rotation About a Fixed Axis questions with solutions

Showing 1–10 of 41 questions

• Multi-correctmediumRotational MotionPure Rotation About a Fixed Axis

  A massless rod has a massless hollow sphere attached to it. This sphere can be fully filled either with a liquid (non viscous) or with a solid (rigidly fitted into sphere) of same mass. System is released from rest from initial position (as shown). When it reaches final position which of the following is/are true for the system.

  

  Select all that apply

  • Option A

    Kinetic energy in case of liquid will be more than in case of solid.

  • Option B

    Velocity of centre (V) in case of liquid will be more than in case of solid.

  • Option C

    About C angular momentum in case of liquid will be more than in case of solid.

  • Option D

    About C angular momentum in case of liquid will be less than in case of solid.

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  JEE Advanced

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• Multi-correctmediumRotational MotionPure Rotation About a Fixed Axis

  A thin ring is free to rotate in the vertical plane about O. Ring is released from rest at θ = 0, when ring rotates through angle θ:-

  

  Select all that apply

  • Option A

    α = g cosθ/(2R)

  • Option B

    centripetal acceleration = 2g sinθ

  • Option C

    Hinge force = (mg/2)√(15 sin²θ+1)

  • Option D

    Hinge force = mg√(4 sin²θ+¾ cos²θ)

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  JEE Advanced

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• Multi-correctmediumRotational MotionPure Rotation About a Fixed Axis

  A uniform rod AB of length l and mass M hangs from point A at which it is freely hinged in a car moving with velocity v₀. The rod can rotate in vertical plane about the axis at A. If the car suddenly stops

  

  Select all that apply

  • Option A

    ω = 3v₀/(2ℓ)

  • Option B

    v₀(min) = √(8gℓ/3)

  • Option C

    Energy loss = Mv₀²/8

  • Option D

    No energy loss

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• MCQmediumRotational MotionPure Rotation About a Fixed Axis

  For the wheel shown, r₁=5 cm, r₂=30 cm and I=5100 kg·m² about the central axis. What is the angular acceleration?

  

  Options

  • Option A

    10⁻² rad/s² clockwise

  • Option B

    10⁻³ rad/s² anticlockwise

  • Option C

    10⁻² rad/s² anticlockwise

  • Option D

    10⁻³ rad/s² clockwise

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  JEE Advanced

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• MCQmediumRotational MotionPure Rotation About a Fixed Axis

  A rod is hinged at its centre and rotated by applying a constant torque starting from rest. The power developed by the external torque as a function of time is:

  Options

  • Option A

    
  • Option B

    
  • Option C

    
  • Option D

    

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  JEE Mains

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• MCQmediumRotational MotionPure Rotation About a Fixed Axis

  Find linear velocity $\vec{v}$=$\vec{\omega}$×$\vec{r}$ if $\vec{r}$=(3$\hat{i}-4\hat{j}+\hat{k}$) and $\vec{\omega}$=(5$\hat{i}-6\hat{j}+6\hat{k}$).

  Options

  • Option A

    4$\hat{i}-13\hat{j}+6\hat{k}$

  • Option B

    18$\hat{i}+13\hat{j}-2\hat{k}$

  • Option C

    6$\hat{i}+2\hat{j}-3\hat{k}$

  • Option D

    6$\hat{i}-2\hat{j}+8\hat{k}$

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  AIPMT 1999NEET

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• MCQmediumRotational MotionPure Rotation About a Fixed Axis

  A homogeneous disc with a radius 0.2 m and mass 5 kg rotates around an axis passing through its centre. The angular velocity of the rotation of the disc as a function of time is given by the formula ω = 2 + 6t. The tangential force applied to the rim of the disc is

  Options

  • Option A

    1N

  • Option B

    2N

  • Option C

    3N

  • Option D

    4N

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  JEE MainsNEET

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• MCQeasyRotational MotionPure Rotation About a Fixed Axis

  A wheel increases angular speed from 360 revolutions per minute to 1200 revolutions per minute in 14 s. Find its angular acceleration.

  Options

  • Option A

    2π rad/s²

  • Option B

    28π rad/s²

  • Option C

    120π rad/s²

  • Option D

    1 rad/s²

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  NEET 2020

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• MCQmediumRotational MotionPure Rotation About a Fixed Axis

  A rectangular solid box of length 0.3 m is held horizontally, with one of its sides on the edge of a platform of height 5m. When released, it slips off the table in a very short time τ = 0.01s, remaining essentially horizontal. The angle by which it would rotate when it hits the ground will be (in radians) close to:-

  

  Options

  • Option A

    0.02

  • Option B

    0.28

  • Option C

    0.5

  • Option D

    0.3

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  JEE Mains 2019

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• MCQmediumRotational MotionPure Rotation About a Fixed Axis

  A disc rotates with angular velocity ω about its axis without translation on a smooth surface. In the indicated clockwise rotation, the velocity of the bottom point B has magnitude and direction:

  

  Options

  • Option A

    -ωR towards left

  • Option B

    -ωR towards right

  • Option C

    +ωR towards left

  • Option D

    +ωR towards right

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  AIPMT Mains 2009 (Mod.)NEET

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