A Solid Sphere Release From Rest at the top of a Ramp.

[aZenki]

Please help me with this question. Thank you.

A 2.0 kg solid sphere (radius = 0.10m) is released from rest at the top of a ramp and allow to roll without slipping. The ramp is 0.75m high and 5.3 m long. Find Ktotal, Krot, and Ktranslation.

 

[Vagrant]

Pure rolling takes place, work done by friction is 0. Energy is conserved. Ktotal=mgh, Krot/Ktranslation=2/5 ie in ratio of moment of inertia. Ktranslation=5/7 mgh etc