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Yash Ram Bhandari
Asked: 2022-10-30T00:34:31+05:30 In:

A section of fixed smooth circular track of radius `R` in vertical plane is shown in the figure. A block is released from position `A` and leaves the track at `B` The radius of curvature of its trajectory just after it leaves the track `B` is ? image
A. R
B. `( R)/(4)`
C. `( R)/(2)`
D. none of these

A section of fixed smooth circular track of radius `R` in vertical plane is shown in the figure. A block is released from position `A` and leaves the track at `B` The radius of curvature of its trajectory just after it leaves the track `B` is ? image
A. R
B. `( R)/(4)`
C. `( R)/(2)`
D. none of these
Parabola
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  1. Correct Answer – C
    Apply conservation of energy with `O` as reference level `mg (2r)/(5) +0 = (mgr)/(5)+(1)/(2)mv^(2)`
    `v = sqrt((2gr)/(5))` , Radius of curvature `= (v_(1)^(2))/(a_(n))`
    `(2gr//5)/(g cos37) = (r)/(2)`.

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