1.

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 ? A. RB. R/4C. R/2D. none of these

Answer» Correct Answer - B
`w_(g)=mgR(cos37^(@)-cos53^(@))=1/2 mv^(2)`
`rArr v^(2) =(2gR)/5`
`R_(c)=(v^(2))/(a_(N))=(v^(2))/(g cos 37^(@)) =(2gR//5)/(4g//5) =R/2`


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