Calculating Tension in a Pulley Weight System

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In a pulley weight system with two weights W1 and W2, when the pulley is accelerated upwards at 'g', the tension in the string can be calculated using the formula 4W1W2/(W1 + W2). The discussion highlights the need to consider the upward acceleration of both weights, which affects the overall tension. Participants emphasize understanding the dynamics involved when the pulley is not accelerating. The conversation concludes with a confirmation of the solution and an acknowledgment of the additional tension due to the upward acceleration.
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Two weights W1 and W2 are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration 'g', then what will be the tension in the string? Solution : [te
x]\frac{4w_{1}w_{2}}{w_{1} + w_{2)}[/tex]

I have calculated that the tension in the spring assuming that the pulley is not accelerating. I know to find the acceleration also(if the pulley is not acclerating). How do I proceed?

thanks for your time.
 
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Hint: both the masses will be accelerated upwards at g. So what will be the additional tension in the string.
 
thanks! I got it.
 
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