Blocks A, B and C are connected by cords with negligible mass and pass over Pull

Question

Blocks A, B and C are connected by cords with negligible mass and pass over Pulleys that roll without slipping. Block C has a mass of 5 kg and has a coefficient of kinetic friction between its surface of 0.30. Block B has a mass of 3 kg and slides along the ramp without any friction. Block A descends at a constant velocity. Draw the free body diagram for each of the three blocks labeling all the forces. Find the tension in the cord connecting blocks C and B. Find the mass of block A Find the tension in the cord connecting blocks B and A

Explanation / Answer

force equation of block C

Tc - k * mc * g = mc * a

force equation of the block B

Tb - Tc = mb * a

force equation of block A

ma * g - Tb = ma * a

since the block A is moving with the constant velocity the acceleration of the block will be 0

ma * g - Tb = 0

ma * g = Tb

also

Tc - k * mc * g = 0

Tc = k * mc * g

Tc = 0.3 * 5 * 9.8

Tc = 14.7 N

tension of the cord connecting blocks C and B = 14.7 N

Tb - Tc = 0

Tb = Tc

Tb = 14.7 N

tension between cord B and A = 14.7 N

ma * g = Tb

ma * 9.8 = 14.7

ma = 1.5 kg

mass of block A = 1.5 kg

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