Question

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

Answer 1

PE=KE=KE(transl) +KE (rot),

mgh=mv²/2 + Iω²/2 =
=mv²/2 + mR²v²/4R² =3mv²/4,
mgh=3mv²/4,
gLsinθ=3v²/4,
v=sqrt(4gLsinθ/3).