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A pulley of moment of inertia 10.0 kg-m² is mounted on a wall as shown in the following figure. Light strings are wrapped around two circumferences of the pulley and weights are attached. Find the net torque and the angular acceleration of the pulley. Assume the following data: I₁ = 100 cm, r₂ = 40 cm, m₁ = 1.0 kg, m₂ = 2.0 kg. Show complete logical work for any credit. m₁ m₂

A pulley of moment of inertia 10.0 kg-m² is mounted on a wall as shown in the following figure. Light strings are wrapped around two circumferences of the pulley and weights are attached. Find the net torque and the angular acceleration of the pulley. Assume the following data: I₁ = 100 cm, r₂ = 40 cm, m₁ = 1.0 kg, m₂ = 2.0 kg. Show complete logical work for any credit. m₁ m₂

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A pulley of moment of inertia \(10.0\, \text{kg} \cdot \text{m}^2\) is mounted on a wall as shown in the following figure. Light strings are wrapped around two circumferences of the pulley and weights are attached. Find the net torque and the angular acceleration of the pulley. Assume the following data: \(r_1 = 100\, \text{cm}, r_2 = 40\, \text{cm}, m_1 = 1.0\, \text{kg}, m_2 = 2.0\, \text{kg}\). Show complete logical work for any credit. **Diagram Explanation:** The diagram includes a large pulley with two different radii marked as \(r_1\) and \(r_2\). Two masses, \(m_1\) and \(m_2\), are attached to strings that wrap around the respective circumferences defined by \(r_1\) and \(r_2\). The forces exerted by the masses create torques at different radii on the pulley, influencing its angular acceleration.
Transcribed Image Text:A pulley of moment of inertia \(10.0\, \text{kg} \cdot \text{m}^2\) is mounted on a wall as shown in the following figure. Light strings are wrapped around two circumferences of the pulley and weights are attached. Find the net torque and the angular acceleration of the pulley. Assume the following data: \(r_1 = 100\, \text{cm}, r_2 = 40\, \text{cm}, m_1 = 1.0\, \text{kg}, m_2 = 2.0\, \text{kg}\). Show complete logical work for any credit. **Diagram Explanation:** The diagram includes a large pulley with two different radii marked as \(r_1\) and \(r_2\). Two masses, \(m_1\) and \(m_2\), are attached to strings that wrap around the respective circumferences defined by \(r_1\) and \(r_2\). The forces exerted by the masses create torques at different radii on the pulley, influencing its angular acceleration.
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