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Two masses 2 kg and 4 kg are connected ...

Two masses 2 kg and 4 kg are connected at the two ends of light inextensible string passing over a frictionless pulley. If the masses are released, then find the acceleration of the masses and the tension in the string.

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To solve the problem, we need to find the acceleration of the two masses and the tension in the string connecting them. We have two masses: \( m_1 = 2 \, \text{kg} \) and \( m_2 = 4 \, \text{kg} \). ### Step 1: Identify the Forces When the masses are released, the force acting on each mass due to gravity can be calculated as follows: - For \( m_1 \) (2 kg), the weight \( W_1 = m_1 \cdot g = 2 \cdot 10 = 20 \, \text{N} \) (acting upwards). - For \( m_2 \) (4 kg), the weight \( W_2 = m_2 \cdot g = 4 \cdot 10 = 40 \, \text{N} \) (acting downwards). ### Step 2: Apply Newton's Second Law ...
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