Question

Problem 9.38 10 of 19 > Review Constants Periodic Table In an Atwood machine, block 1 with mass mi and a loss massive block 2 with mass are connected by a string that passes over a solid cylindrical pulley of mass M and radius R. Usemi 0.20 k m 0.16 kg. M = 0.50 kg, and R-0.10 m. (Figure 1) Determine the rotational inertia of the pulley Express your answer with the appropriate units. 1. Value Units Figure Submit Rest Answer R Axis of rotation Part G Noting that a Ra for the pulley, use the equations from previous parts to determine the magnitude of the acceleration of the hanging blocks Express your answer with the appropriate units. mm Value Units

Answer 1

(F) The rotational of inertia is, 1 I =-MR2 2 (0.5)(0.50) (0.10) 2.5x103 kg.m2 (G) The angular acceleration is (F-F) R a R MR2 2(F-F) MR The acceleration is, 2(F-F) (1) М From Newton's law F = mg-ma---(2) m2g +F m2a Fm2g+ma--(3) From equation1, 2 and equ3 2(m,g-m,а-(т,a+m,g)) м 2((m - т,)g-(т, +m,)а) м Ма - 2(т, - т,)s-(m, +т,)а) Ма+ 2(m, + m)а3D 2(m, - т,)g 2(m - т,)g М+2(m, + m,) a 2(0.2-0.16)(9.8) 0.5+ 2(0.16+0.2) = 0.64 m/s