Question

Each of the double pulleys shown has a centroidal mass moment of inertia of 0.25 kg.m?, an inner radius of 100 mm, and an outer radius of 150 mm. The mass m = 10 kg and the bearing friction is neglected. B A с m

Answer 1

X Ac 3 ISOnline 100m loom lisomag I BE 0.25kg.. 9. m² I = 0.25 kgime Points same C and D should have lineal acceleration. *(0:15) = x10.12. m Hence. LE a=%ool T' "T 0.15 ng - T=ma M la T ing T(0.1) - T'(0.15) d'= a(0:15) (0.1) To.1) - Id = I a A A T' 0.1 3 T' (0-1) = Igal t' (0-1)= IB a (0.15) 0.01 T' = 0-25 x ax 0.5 X 1000 T'= - 37.5 a.

T10.1) - Tro.is) = 0.25 a T 10.17 37.5 x ouisa +0.25 a .81.25a. T = 56.25a + 25a Tama, m=10 kg ng log = 91.25a 10x9.8 a = 1.074 m/s2 91.25 after 3 seconds Velocity of the cylinder = 1.074 x3 = 3.222 m/s
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