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```        describe abt cololision of a small body with a rigid body......... plz give me ur contact no.
or call me on this no.
sailesh arya
9407941245```
6 years ago

SAGAR SINGH - IIT DELHI
879 Points
```										Dear student,
It is difficult  to analyse the situation when the colliding objects  are free to both rotate and move with a linear motion. The main method  we will use to do this involves the following stages.

Determine the collision point and the normal direction at this point.
Calculate the minimum impulse to prevent the objects intersecting, or to  reverse the approach velocity, depending on the coefficient of friction.
Calculate the effect of this impulse on the rotation and linear motion  separately.

This involves a lot of assumptions and approximations that may not  always be valid,   we need to understand what is going on to be sure  that our simulations or programs are making the correct assumptions and  that the results will be stable and accurate enough.
This method is based on the concept of an 'impulse' which is an  instantaneous transfer of momentum between the objects. This is not  intuitively obvious and I think its worth taking some time to rid  ourselves of our natural misconceptions. The collision may involve an  exchange of energy between the objects but the impulse is about momentum  not energy, this distinction means:

Momentum is a vector quantity in which  all the dimensions are  independent and the linear dimensions are independent of the rotational  dimensions.
Linear momentum and rotational momentum for a closed system are  conserved independently, that is, linear momentum cannot be converted to  rotational momentum and visa versa. Energy can be converted into other  forms.
The component of momentum in each dimension for a closed system is  conserved independently, that is, the x component of momentum cannot be  converted to, or from, the y component of momentum. Again energy can be  converted into other forms.
The whole of the impulse causes changes the linear momentum and  rotational momentum, it is not that part of the impulse applies to  linear momentum and the rest applies to rotational, all the impulse  applies to both. In the case of energy we can ascribe part of the energy  to the linear motion and another part to the rotational  motion and  energy can be transferred between them.

All the best.
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Sagar Singh
B.Tech, IIT Delhi

```
6 years ago
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