A Mass M₁ Is Connected by a Light String That

A mass m₁ is connected by a light string that passes over a pulley of mass M to a mass m₂ sliding on a frictionless horizontal surface as shown in the figure. There is no slippage between the string and the pulley. The pulley has a radius of 25.0 cm and a moment of inertia of ½ MR². If m₁ is 4.00 kg, m₂ is 4.00 kg, and M is 4.00 kg, then what is the tension in the string attached to m₂?

A) 10.4 N
B) 12.6 N
C) 15.7 N
D) 17.6 N
E) 19.8 N

Correct Answer:

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