Atwood?s machine is a system consisting of two objects connected by a string tha

Question

Atwood?s machine is a system consisting of two objects connected by a string that passes over a frictionless pulley, as shown in the figure above. Earlier in the course, we neglected the effect of the pulley, but now we know how to account for the pulley?s impact on the system. The mass of the object on the left is M = 7.00 kg. The mass of the object on the right is m = 1.00 kg. The mass of the pulley is mp = 1.00 kg. Use g = 10.0 m/s2.

What is the tension in the part of the string that is connected to the block of mass M?(N)

Explanation / Answer

let the mass M be moving downwards with an acceleration = a then Mg - T1 = Ma => T1 = M(g-a) and T2 - mg = ma T2 = m(g+a) T1 - T2 = M(g-a) - m(g+a) as we consider the pulley as a disk I = (1/2) Mr^2 let the angular acceleration of pulley be x torque = -F r x = torque/I F = T1 - T2 x = (T1-T2)*r/[(1/2) m r²] solving the above equations we get T1 which is the tension in the part of the string that is connected to the block of mass M

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