Welded discs dropped whilst string wrapped around one, find downward a

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SUMMARY

The discussion centers on calculating the force exerted by a block on a string when the block accelerates downwards. The participant successfully derived the correct equation using the relationship 1.5g - T = 1.5a, where 'g' represents gravitational acceleration, 'T' is tension, and 'a' is the block's downward acceleration. The participant also utilized the equations a = rα and τ = rF to arrive at the solution. This highlights the importance of understanding the dynamics of forces in rotational motion.

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Image included to show I've made an attempt, but my attempt left me realising I just don't know where to go. If someone could point me in the right direction, it'd help a lot.
 
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You don't need to do energy calculations for this problem. One of the unknowns is the downwards acceleration of the block, and this affects the downwards force that the block exerts onto the string.

What is the equation for the force the block exerts on the string if the block is accelerating downwards at a, where a is the rate of acceleration of the block?
 
Last edited:
rcgldr said:
You don't need to do energy calculations for this problem. One of the unknowns is the downwards acceleration of the block, and this affects the downwards force that the block exerts onto the string.

What is the equation for the force the block exerts on the string if the block is accelerating downwards at a, where a is the rate of acceleration of the block?

Ok, I got the correct answer this time, by using 1.5g - T = 1.5a, a=r\alpha, and \tau = rF :) Thank you!
 

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