The kinetic energy of a lamina moving in its planeis

Options

A. `M(v_(cm)^(2) + K^(2)omega^(2))`
B. `1/2M(v_(CM)^(2) + K^(2)omega^(2))`
C. `1/2komegap^(2)`
D. None of these

Explanation

b) if a lamina is moving with `v_(CM)` having angualr velocity `omega`. Then,
KE = Angular kinetic energy + Translatory kinetic energy
`=1/2_(CM)omega^(2) + 1/2 mv_(CM)^(2)`
`=1/2MK^(2)omega^(2) + 1/2 Mv_(CM)^(2) = `1/2 M(K^(2)omega^(2)+ v_(CM)^(2))`