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35 votes
35 votes
Find the acceleration of the blocks when the system is released. The coefficient of kinetic friction is 0.4, and the mass of each block is 1 kg. Neglect the mass of the pulleys and cord.

User Diego Martinoia
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1 Answer

21 votes
21 votes

Answer:

a = 4.9(1 - sinθ - 0.4cosθ)

Step-by-step explanation:

Really not possible without a complete setup.

I will ASSUME that this an Atwood machine with two masses (m) connected by an ideal rope passing over an ideal pulley. One mass hangs freely and the other is on a slope of angle θ to the horizontal with coefficient of friction μ. Gravity is g

F = ma

mg - mgsinθ - μmgcosθ = (m + m)a

mg(1 - sinθ - μcosθ) = 2ma

½g(1 - sinθ - μcosθ) = a

maximum acceleration is about 2.94 m/s² when θ = 0

acceleration will be zero when θ is greater than about 46.4°

User Arjen Van Der Spek
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