Click to Chat
1800-2000-838
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
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 ?
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
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
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -