Question

Two cylinders, each having mass m, are linked by a connecting rod whose mass is negligible. A horizontal force F(t) is applied to the right cylinder, and neither cylinder slips in its rolling motion. In the initial position, the angle θ locating the connecting pin is zero. Derive the equation of motion for this angle.

Answer 1

luth constantaccelaration, he angulo acelavatton is giuen 2. dt whee d D R ONAcilov acela ation which we had asumed jt as a loitant. auqular velocity Ons ge us i iegae Ae above eguatibn Constaut Cylinders abe.

Substituting dhese 0 initial tondthbns mto eguatons we get 채e ahue his qiuesus 2 au yesult -angular veleci i biomes

oe toish lo nd One epuation whidh den' inuolve time t' we an tombine euaffons(2 and6) to eliminate 朮me as a aHable.Mis gives us. fahing ,whre angula ateleration ià cousfouct