All formulas related to question of ball sliding of a smooth hemisphere from top ?(WPE)
Answer (1)
24th Mar, 2020
Hello Student,
I guess you wanted the formulas of when the ball or body would loose contact,what velocity etc. These are all the formulas :
Let Radius of hemisphere be R, The height of the ball from base be H .
- Normal Reaction on the body is zero when the ball leaves the hemisphere.
- Vertical height from table at which the body leaves the hemisphere is H = 2R/3
- If Position vector of the ball with respect to the centre of curvature makes an angle θ with the vertical when the body leaves the hemisphere, the cosθ = 2/3
- Velocity of block at that instant of time is V = √(2gR/3)
- If the block is given a horizontal velocity u from the top of smooth convex hemisphere then angle θ with vertical at which the block leaves hemisphere is cosθ = 2/3 + u²/3gR
(g = acceleration due to gravity)
This Diagram may help
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Comments (2)
Thank you very much Sir
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