In a fixed quarter circular track of radius R which lies in a vertical plane, a block is released from point A and it leaves the path at point B. The radius of curvature of its trajectory when it just leaves the path will be

A section of fixed smooth circular track of radius R in vertical plane is shown in the figure. A block id released from position A and leaves the treack at B The radius of curvanture of its trajectory just after it leaves the track B is ?

A section of fixed smooth circular track of radius R in vertical plane is shown in the figure. A block id released from position A and leaves the treack at B The radius of curvanture of its trajectory just after it leaves the track B is ?

In a circus a rider rides in circular track of radius R in the vertical plane. The minimum velocity at highest point of the track will be :

A particle is projected from ground at an angle theta with horizontal with speed u. The ratio of radius of curvature of its trajectory at point of projection to radius of curvature at maximum height is -

A particle is projected from ground at an angle theta with horizontal with speed u. The ratio of radius of curvature of its trajectory at point of projection to radius of curvature at maximum height is -

In a circus stuntman rides a motorbike in a circular track of radius R in the vertical plane. The minimum speed at highest point of track will be

A smooth circular tube of radius R is fixed in a vertical plane. A particle is projectid from its lowest point with a velocity just sufficient to carry it to th ehigest point. Show that the time taken by the particle to rach the end of the horizontal diameter is (sqrt(R)/(g))In(1+sqrt(2)) . Hint : intsectheta.dtheta=In(sectheta+tantheta)