ritwik06
Aug19-08, 04:37 PM
1. The problem statement, all variables and given/known data
A body is projected up an inclined plane with a speed Vo. The inclination of the incline is \theta. The surface of th incline is a tangent to a circle of radius R. Find the force acting on th object when it is at the top of the sphere provied that Vo= 2*the minimum velocity need to reach the top of the sphere.
The length of incline = L
Assume that the block does not lose contact with the track.
3. The attempt at a solution
The minimum velocity required, as I calculated was:
\sqrt{2g[R(1-cos \theta)+ L sin \theta} which was correct.
But the Force I calculated was diffrent.
At the top of the phere, the velocity will become Vo/2. Why oesnt (mV^2)/R give me the correct answer? as the body perform circular motion. Help me please.
A body is projected up an inclined plane with a speed Vo. The inclination of the incline is \theta. The surface of th incline is a tangent to a circle of radius R. Find the force acting on th object when it is at the top of the sphere provied that Vo= 2*the minimum velocity need to reach the top of the sphere.
The length of incline = L
Assume that the block does not lose contact with the track.
3. The attempt at a solution
The minimum velocity required, as I calculated was:
\sqrt{2g[R(1-cos \theta)+ L sin \theta} which was correct.
But the Force I calculated was diffrent.
At the top of the phere, the velocity will become Vo/2. Why oesnt (mV^2)/R give me the correct answer? as the body perform circular motion. Help me please.