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Angular Momentum MCQ - Practice Questions with Answers

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

Quick Facts

  • Angular Momentum is considered one of the most asked concept.

  • 24 Questions around this concept.

Solve by difficulty

A particle of  mass m moves  along line  PC  with velocity \nu  as shown. What  is the angular momentum of the particle about  P?

When a mass is rotating in a plane about a fixed point, its angular momentum is directed along:

A small mass attached to a string rotates on the frictionless table top as shown. If the tension in the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will

 

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Concepts Covered - 1

Angular Momentum
  • The moment of linear momentum of a body with respect to any axis of rotation is known as angular momentum. If  P is the linear momentum of a particle and its position vector from the point of rotation then angular momentum is given by the vector product of  linear momentum and position vector. 

                                         

\vec{L} =\vec{r}\times\vec{P}        

\vec{L} =\vec{r}\times\vec{P} = \vec{r}\times(m\vec{V}) = m(\vec{r}\times\vec{V})

        \left | \vec{L} \right | = rpsin\theta,  where \theta is the angle between r and p.

        |\vec{L}|=mvrsin\theta

  • Its direction is always perpendicular to the plane containing vector  r and P and with the help of right hand screw rule we can find it.

 Its direction will be  perpendicular to the plane of rotation and along the axis of rotation

 

 

  • L _{max}=r*P \ (when \ \theta =90^0)

  • L _{min}=0 \ (when \ \theta =0^0)

  • SI Unit- Joule-sec or  kg-m^2/s

  • Dimension- ML^2T^{-1}

  •  In case of circular motion

As \vec{r}\perp \vec{v} and v = \omega r and I = mr^2

L=mvr=mr^2\omega =I\omega

So in vector form \vec{L}=I\vec{\omega }

  • The net  angular momentum of a system consists of n particles is equal to the vector sum of angular momentum of each particle.

\vec{L}_{net}=\vec{L}_1+\vec{L}_2.......+\vec{L}_n

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Angular Momentum

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