As shown below, two blocks are connected by a massless rope from an Atwood machi

Question

As shown below, two blocks are connected by a massless rope from an Atwood machine. Block 'A' has a mass of 2kg, block 'B' has a mass of 6kg and both basses are initially at rest. After both masses are released, what is the velocity of the 2kg mass after it has risen 3 m (in m/s)?

C2) As shown below, two block are connected by a massless rope to form an Atwood machine. Block 'A' has a mass of 2 kg, block 'B' has a mass of 6 kg and both masses are initially at rest. After both masses are released, what is the velocity of the 2 kg mass after it has risen 3 m (in m/s)? Pulley (in m/s) using

Explanation / Answer

let tension in the rop = T

block A moving upward and block B moving downward with an acceleration "a" m/s^2

now MB*g -T = MB*a  

and T - MA*g = MA*a   

from both the equations

MB*g - MA*g - MA*a = MB*a  

=> a = (MB - MA)*g/(MB + MA) = (6-2)*9.8/(2+6) = 4.9 m/s^2

v^2 = u^2 + 2aS

=> v^2 = 0 + 2*4.9*3

=> v = 5.422 m/s

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