Question

Relevant formulas kx/2, y(t) = (a/2) + Voyt + yox(t) = 1.0t + Xo, vy(t) = at +Voyvo(t) = V.O. (2) Atwood machine with two pulleys: Two identical pulleys support two masses, M2 > M1. Find the tension in all three strings, and the acceleration of M2 and Ms. The pulleys are solid cylinders of mass Mo =.5 kg, and radii Rp.5m. M2 = 2 kg, M1 = 1kg. Write down the equations (ie. angular moment - torque equation for each pulley). Use Moment of Inertial = M, R./2. See picture. Label the tensions T1, T2, T3 on the chords from left to right. Also late torque. Determine the acceleration of the masses.

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Answer 1

Solution) T2 mpi Rp mp. Rp m = 1 kg m=2kg Pi P2 T3 aſ I mp=0.579 Rp = 0.5m. m, m₂ for ma mag -T₂ = m₂ a 0 for P2 (73-D Rp = I (6) & x= a Rp =P Tz-T2 = I I la Rp² for P, form, Ti-mg=m, a 0 +② +3 + 4 -mg-ng-(, (3+015) 2.8 m/s mg-mg = a/m +20 I, ma Rp² 29-19 = a at1t 2 Me Rp Por 2. g=a az 9/35