A small block slides from rest from the top of a frictionless sphere of radius R.How far below the top,x,does it lose contact with the sphere?(Sphere doesn't move)
The Attempt at a Solution
The angle subtended by the block at the centre of the sphere can be taken as theta.If the x-axis is considered tangential to the surface and hence y-axis in the direction of the normal force,this problem can be solved,when combined with the conservation of energy.
Answer is R/3.
My question is,how do you solve this problem if the axes are taken "upright",instead of being inclined.i.e,the y-axis is vertical and x-axis is horizontal.