In the modified Atwood machine shown in (Figure 1) , each of the three blocks ha

Q: In the modified Atwood machine shown in (Figure 1) , each of the three blocks ha

In this atwood machine the right side masses m,m move downward (weights also act downward) the weight of the third mass mg and restoring force developed in spring try to oppose this right side side weight so net accleration is given by a=mg+mg-mg-kd /m+m+m =mg-kd /3m a=(mg-kd /3m)(-j)

ID: 1345521 • Letter: I

Question

In the modified Atwood machine shown in (Figure 1) , each of the three blocks has the same inertia m. One end of the vertical spring, which has spring constant k, is attached to the single block, and the other end of the spring is fixed to the floor. The positions of the blocks are adjusted until the spring is at its relaxed length. The blocks are then released from rest. Ignore any friction in the pulleys.

What is the acceleration of the two blocks on the right after they have dropped a distance d? The unit vector j^ is directed upward.

Explanation / Answer

In this atwood machine the right side masses m,m move downward (weights also act downward)

the weight of the third mass mg and restoring force developed in spring try to oppose this right side side weight

so net accleration is given by a=mg+mg-mg-kd /m+m+m =mg-kd /3m

a=(mg-kd /3m)(-j)

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In the modified Atwood machine shown in (Figure 1) , each of the three blocks ha

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In the modified Atwood machine shown in (Figure 1) , each of the three blocks ha

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