Two blocks of masses m 1 and m 2 are connected by a spring of stiffness k. The coefficient of friction between the blocks and the surface is µ. Find the minimum constant horizontal force F (in Newton) to be applied to m 1 in order to slide the mass m 2 . (Initially spring is in its natural length).
(Take m 1 = 3 kg, m 2 = 5kg, g = 10 m/s 2 , µ = 0.2)
Text Solution
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Sol.
W F + W Sp + W fric = Δ K
⇒ Fx – 
Kx 2 – µ m 1 g x = 0 & Kx = µm 2 g
⇒ F – 
µm 2 g – µm 1 g = 0
⇒ F = µm 1 g + 
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