A pulley with radius R is free to rotate on a horizontal fixed axis through its center. A string passes over the pulley. Mass m₁ is attached to one end and mass m₂ is attached to the other. The portion of the string attached to m₁ has tension T₁ and the portion attached to m₂ has tension T₂. The magnitude of the total external torque, about the pulley center, acting on the masses and pulley, considered as a system, is given by: A) $\mid$m₁ - m₂$\mid$gR B) (m₁ + m₂)gR C) $\mid$m₁ - m₂$\mid$gR + (T₁ + T₂)R D) (m₁ + m₂)gR + (T₁ - T₂)R E) $\mid$m₁ - m₂$\mid$gR + (T₂ - T₁)R

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The Answer of A pulley with radius R is free to rotate on a horizontal fixed axis through its center. A string passes over the pulley. Mass m₁ is attached to one end and mass m₂ is attached to the other. The portion of the string attached to m₁ has tension T₁ and the portion attached to m₂ has tension T₂. The magnitude of the total external torque, about the pulley center, acting on the masses and pulley, considered as a system, is given by: A) $\mid$m₁ - m₂$\mid$gR B) (m₁ + m₂)gR C) $\mid$m₁ - m₂$\mid$gR + (T₁ + T₂)R D) (m₁ + m₂)gR + (T₁ - T₂)R E) $\mid$m₁ - m₂$\mid$gR + (T₂ - T₁)R

A Pulley with Radius R Is Free to Rotate on a Horizontal