Question

A spool of cable of mass 200kg is being unrolled by towing it with a vehicle (as shown below). Thoe spool has an outer and inner radii ofR 1.8m and ρ-1.4m respectively and a radius of gyration of 1.4m. The centre of mass of the spool is at point G At the instant shown, the vehicle is accelerating at a rate of 5m/s2 (a) (b) (c) Calculate the acceleration of the centre of mass of the spool. [4 Marks] Draw a free body diagram of the spool showing all of the forces that act. [2 Marks] Calculate the tension in the cable. [4 Marks]

Answer 1

Arelarastion ot peist 9 lemm instantaneow centre e o tation A 3 2 Olm ction forッ

Ten s lon inte T=? cable, C? T + 200 (2.8125) 562-5 ⑦ cu kere 2054 ·チ Ten ran in cable T = 504, eiL'5N