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SAI SUSHANTH Grade: 9
        

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 ?

6 years ago

Answers : (1)

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

6 years ago
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