The discussion focuses on solving a rotational motion problem involving two masses (m1 = 4 kg and m2 = 3 kg) connected by a cord over a pulley with a moment of inertia (I = 0.5 kg·m²) and radius (R = 0.3 m). Participants emphasize the need to establish three equations based on the net forces acting on both masses and the torque on the pulley to find the acceleration and tensions (T1 and T2). The correct approach involves recognizing that both masses share the same linear acceleration, which is proportional to the angular acceleration of the pulley. The final solution requires algebraic manipulation to eliminate tensions and solve for acceleration.
PREREQUISITESStudents studying physics, particularly those focusing on mechanics, as well as educators looking for examples of rotational motion problems involving pulleys and tension analysis.
Nathanael said:But your first equation looks like:
m_1g-(m_1)(m_1g)[\frac{I}{R^2}+m_1+m_2]^{-1}
But I'm pretty sure that's not how you meant it to be.