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A block with mass m1 hangs rom a rope that is extended over an ideal pulley and

ID: 1658422 • Letter: A

Question

A block with mass m1 hangs rom a rope that is extended over an ideal pulley and attached to a second block with mass that sits on a ledge The second block is a so connected to an io k with mass m second rope that hangs over a second ideal pulley as shown in the figure below. If the friction between the ledge and the second block is negligible, mi 2.00 kg, m2 - 4.40 kg, and ms - 8.80 kg, find the magnitude of the tension in each rope and the acceleration of each block. (Enter the magnitude.) a= 4.384 T12 = Your response differs from the correct answer by more than 10%. Double check your calculations. N 23 = r a number differs from the correct answer by more than 100%. N 7m

Explanation / Answer

The following equations of motion describe the motion of each of the blocks m1, m3

T12- m1g= m1*a
T23-m3g= m3*a

Substituting the values in the above equations

T12 - 2 x 9.81 = 2 x 4.364
T23 - 8.80 x 9.81 = 8.80 x 4.364

T12 = 28.348 N
T23 = 124.732 N

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