Calculating Particle Speed on a Moving Sphere: Integration Method

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troy611
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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 [tex]\theta[/tex])

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 [tex]\sqrt{2R(a*sin theta + g - g*cos theta)}[/tex]
 
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