A skier plane to ski a smooth fixed hemisphere of radius `R` . He starts from rest from a curve smooth surface of height `((R)/(4))` . The angle `theta` at which he leaves the hemisphere is

A skier plans to ski a smooth fixed hemisphere of radius R He starts from rest from a curved smooth surface of height (R/4) the angle theta at which he leaves the hemisphere is

The curved surface area of a hemisphere of radius r is :

Particle slides down the surface of a smooth fixed sphere of radius r starting from rest at the highest point. Find where it will leave the sphere. Show that it strike the horizontal plane through the lowest point of the sphere at a distance equal to 5[sqrt(5)+4sqrt(2)](r//27) from the vertical diameter.

A small block of mass m projected horizontally from the top of the smooth and fixed hemisphere of radius r with speed u as shown. For values of u ge u_(0)(u_(0)=sqrt(gr)) it does not slide on the hemisphere. l i.e., leaves the surface at the top itself. For u=u_(0)//3 , Find the height from the ground at which it leaves the hemisphere

A small block of mass m projected horizontally from the top of the smooth and fixed hemisphere of radius r with speed u as shown. For values of u ge u_(0)(u_(0)=sqrt(gr)) it does not slide on the hemisphere. l i.e., leaves the surface at the top itself. For u=u_(0)//3 , Find the height from the ground at which it leaves the hemisphere

A small body of mass m slides down from the top of a hemisphere of radius r . The surface of block and hemisphere are frictionless. The height at which the body lose contact with the surface of the sphere is

A partcle rests on the top of a hemisphere of radius R. Find the smallest horizontal velocity that must be imparted to the particle if it is to leave the hemisphere without sliding down :

A partcle rests on the top of a hemisphere of radius R. Find the smallest horizontal velocity that must be imparted to the particle if it is to leave the hemisphere without sliding down :