A boy pushes a cylinder of mass m1 with a help of a plank of mass m2 as shown in the figure .There is no slipping at any contact. The horizontal component of force applied by the man is F .
Find
a) Acceleration of the plank and centre of the mass of the cylinder and
b) The magnitude and the directions of the frictional force at contact points.
1
F - f1 = m2a1 .........................(1)
f1 - f2 = m1a2..........................(2)
Iα = (f1+f2)R
→ α = (f1+f2)R12m1R2.........................(3)
a2 = Rα ....................................(4)
and a1 = a2 + Rα........................(5)
solving abv equations we get
a2 = 4F3m1+8m2
f1 = 3MF3m1+8m2
f2 = MF3m1+8m2
