A PARTICLE SLIDES ON THE SURFACE OF A FIXED SMOOTH SPHERE STARTING FROM THE TOPMOST POINT. FIND THE ANGLE ROTATED BY THE RADIUS THROUGH THE PARTICLE WHEN IT LEAVES THE CONTACT WITH SPHERE.
Answers
Answered by
6
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.
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.
Similar questions