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As shown in the figure, there is a horizontal force F constantly applied to M so

ID: 2279680 • Letter: A

Question

As shown in the figure, there is a horizontal force F constantly applied
to M so that m1 and m2 do not move relative to M. Ignore the mass of
the rope, the mass and friction of the pulley, and the friction between the
masses. Show that the magnitude of the force is given by


As shown in the figure, there is a horizontal force F constantly applied to M so that m1 and m2 do not move relative to M. Ignore the mass of the rope, the mass and friction of the pulley, and the friction between the masses. Show that the magnitude of the force is given by F = m2g/m1 (M + m1 + m2)

Explanation / Answer

T = tension in string

= m2g

T = m1a

a = T/m1 = M2g/m1

f= (M1+m2+m3)a

= (M1+m2+m3)*M2g/m1 proved