A particle of mass m slides down a fixed, frictionless sphere of radius R. starting from rest at the top.(adsbygoogle = window.adsbygoogle || []).push({});

a. In terms of m, g, R. and theta, determine each of the following for the particle while it is sliding on the

sphere.

i. The kinetic energy of the particle

ii. The centripetal acceleration of the mass

iii. The tangential acceleration of the mass

b. Determine the value of theta at which the particle leaves the sphere.

I can not get the picture on here, but it is basically a picture of a sphere with a mass on the top of the sphere, and the same mass moved slightly to the right. The angle between these two masses is theta, making a V to the center of the circle.

For Part A ...

I: PE=KE

mgr=PE

mgr(r-rcos(theta))=KE

mgr(1-cos(theta))=KE <-- Does this look good?

II: Centripetal Acceleration:

A= v^squared/r

A= 2g(1-cos(theta)) <---- Look good?

III. Totally lost... help!!!!!

B. Not sure either .......sigh

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# Homework Help: Conservation of Energy/ Centripetal Acceleration HELP!

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