Question
the 100 lb spool A is held by a cable on its inner radius and the 70 lb block B is attached to the spool by another cable on the outer radius of the spool as shown. the spool has a radius of gyration of k=4.0 in. if the system is released from rest, determine the acceleration of the block B and the acceleration of the spool immediatly afterbeing released.

6 in. 3 in. - 3 in. 6 in. B
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Answer #1

100 lb 70 tb Solution Giyon date : Weight of spool A (WA) Weight of block B (WB) Radius of gyration spool about 6 Tage=4 in ISZTG To - Iga & Ž 12 (8) - TR - Iga T (3)-T (6)= TEM + 35,-61 = (maka) a 2 M Ti - 27 ko Ja L 3 ď 100x42 ga 3 X(32:2x12) (g 9@t-o, angulal velocity t spool A is 340. ra? Hence roud aatan aga 0 apoi Joj G A *D a tan a DG (RC) 6a ĵ (m/22) a to DG apg +orom 0 and ☺ ☺ * t 2T (T-T) -T (WA-M444) (We taga) (WA-WB) + mb.9. mA QA (100—70) t 70 (30) (3x) T-2T 32:2X12 100 32:2712 - 3

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