# Dynamics

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The velocity of cylinder which is released from rest on degree incline after it has rolled through a distance 1 is given by____________

• Dynamics -

KE= KE(transl) + KE (rot) = m•v²/2 + I•ω²/2
I =m•R²/2; ω=v/R.
KE= 3• m•v²/4
PE= m•g•h=m•g•s•sinα
PE=KE,
g•s•sinα=3•v²/4.
v=sqrt(4•g•s•sinα/3)

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