Calculating Particle Speed on a Moving Sphere: Integration Method

[troy611]

A smooth sphere of radius R is made to translate in a straight line with a constant acceleration a particle is released from the top of sphere as soon as the sphere starts accelerating (i.e. at time = 0). Find the speed of the particle with respect to the sphere as a function of angle it makes with the upward vertical (take it as $$\theta$$)

hint: integration is to be used

i am just missing one term in the answer, i have taken, the horizontal pseudo force, Normal reaction, and weight of particle amd then used COE.

ps: answer is $$\sqrt{2R(a*sin theta + g - g*cos theta)}$$

 

[tiny-tim]

Hi troy611!

Show us your full calculations, and then we'll see what's missing, and we'll know how to help!