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Angular momentum is...

Angular momentum is

A

moment of momentum

B

product of mass and angular velocity

C

product of moment of inertia and velocity

D

moment in angular motion

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The correct Answer is:
To solve the question regarding angular momentum, we can follow these steps: ### Step 1: Understand the Definition of Angular Momentum Angular momentum is a physical quantity that represents the rotational inertia of an object in motion. It is denoted by the symbol \( L \) and is a vector quantity. ### Step 2: Identify the Formula for Angular Momentum The angular momentum \( L \) of a point mass can be expressed as: \[ L = r \times p \] where: - \( r \) is the position vector from the axis of rotation to the point mass, - \( p \) is the linear momentum of the mass, given by \( p = m \cdot v \) (where \( m \) is mass and \( v \) is the velocity). ### Step 3: Analyze the Given Options The options provided in the question are: 1. Moment of momentum 2. Product of mass and angular velocity 3. Product of moment of inertia and velocity 4. Moment of angular motion ### Step 4: Evaluate Each Option - **Option 1: Moment of momentum** - This is a valid description of angular momentum since it relates to the rotational aspect of momentum. - **Option 2: Product of mass and angular velocity** - This is not correct; angular momentum involves linear momentum, not just mass and angular velocity. - **Option 3: Product of moment of inertia and velocity** - This is misleading; while moment of inertia is involved in angular momentum, it is not directly the product of moment of inertia and velocity. - **Option 4: Moment of angular motion** - This is not a standard term used in physics. ### Step 5: Conclusion Based on the analysis, the correct answer is: **Option 1: Moment of momentum**. ### Final Answer: Angular momentum is best described as the **moment of momentum**. ---

To solve the question regarding angular momentum, we can follow these steps: ### Step 1: Understand the Definition of Angular Momentum Angular momentum is a physical quantity that represents the rotational inertia of an object in motion. It is denoted by the symbol \( L \) and is a vector quantity. ### Step 2: Identify the Formula for Angular Momentum The angular momentum \( L \) of a point mass can be expressed as: \[ ...
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DC PANDEY ENGLISH-ROTATION-Check point 9.2
  1. The torque of a force F = - 6 hat (i) acting at a point r = 4 hat(j) a...

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  2. Moment of a force of magnitude 20 N acting along positive x-direction ...

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  3. The torque of force F = -3 hat(i)+hat(j) + 5 hat(k) acting on a point ...

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  4. The torque of a force F = -2 hat(i) +2 hat(j) +3 hat(k) acting on a po...

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  5. A door 1.6 m wide requires a force of 1 N to be applied at the free en...

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  6. A flywheel of moment of inertia 2 "kg-m"^(2) is rotated at a speed of ...

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  7. A mass of 10 kg connected at the end of a rod of negligible mass is ro...

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  8. A disc is rotating with angular velocity omega. A force F acts at a po...

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  9. Angular momentum is

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  10. The unit mass has r = 8 hat(i) - 4 hat(j) and v = 8 hat(i) + 4 hat(j) ...

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  11. If the earth is a point mass of 6 xx 10^(24) kg revolving around the s...

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  12. A particle with the position vector r has linear momentum p. Which of ...

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  13. By keeping moment of inertia of a body constant, if we double the time...

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  14. It torque is zero, then

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  15. Total angular momentum of a rotating body is conserve, if the net torq...

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  16. The angular momentum of a rotating body changes from A(0) to 4 A(0) in...

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  17. If the radius of earth contracts 1/n of its present day value, the len...

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  18. A thin circular ring of mass M and radius R is rotating about its axis...

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  19. A disc of mass 2 kg and radius 0.2 m is rotating with angular velocity...

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  20. Circular disc of mass 2 kg and radius 1 m is rotating about an axis pe...

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