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`        A PARTICLE SLIDES ON THE SURFACE OF A FIXED SMOOTH SPHERE STARTING FROM THE TOP MOST POINT . FIND THE ANGLE ROTATED BY THE RADIUS THROUGH THE PARTICLE , WWHEN IT LEAVES CONTACT WITH THE SPHERE ?`
7 years ago

Anurag Kishore
37 Points
```										Hello,
I am giving you the hint

Let the particle leave contact at an angle @ from vertical
Use two equations

1. Energy conservation between top and point of leaving contact
mgR(1-cos @) = 1/2 mv2       -------------------------          (1)
2.Also see that at the time of leaving Normal force = 0
So
N + mg cos@ = mv2/R   but N = 0 as stated above,
so               mg cos@= mv2/R       -----------------           (2)
where R is radius of sphere and v is velocity of particle at the instant.

From above two equation you can find v and @

Thanks
Anurag
```
7 years ago
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