Find Tension in String: Friction & Pulley

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To find the tension in the string connecting an 8.0-kg hanging block and a 6.5-kg block on a table with a coefficient of friction of 0.28, it's essential to analyze the system using free body diagrams. The blocks will accelerate together, but in opposite directions, which affects the tension calculation. The initial calculation of 41.02 N is discussed, with contributions suggesting the 6.5 kg block is sliding rather than at rest. The importance of determining the acceleration accurately is emphasized for correct tension results. Overall, understanding the dynamics and friction involved is crucial for solving the problem effectively.
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An 8.0-kg hanging block is connected by a string over a pulley to a 6.5-kg block sliding on a flat table. If the coefficient of sliding friction is 0.28, find the tension in the string.

is the answer 41.02 N ?
 
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How did you work it out?
 
((8*9.8)/2)+(6.5*.28)
 
so, we assume that the 6.5 block is sliding? not at rest?
 
aq1q said:
so, we assume that the 6.5 block is sliding? not at rest?


i guess so
 
well, draw the free body diagrams..and find what the acceleration is. Since they are both connected by a string, they will accelerate (different directions) with the same magnitudes.
 
getting the free body diagram correct is essential
 
well i am getting an answer in the 40s, i don't want to say the answer.. anyway i got to go.
 

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