Question

The double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 20 kg and a radius of gyration of ko = 110 mm. The block at A has a mass of 45 kg and the container at B has a mass of 70 kg, including its contents. (Figure 1) Part A Determine the speed of the container when t = 6 s after it is released from rest. Express your answer to three significant figures and include the appropriate units. Figure < 1 of 1 > 200 mm vp= Value Units 75 mmc Submit Request Answer < Return to Assignment Provide Feedback

Answer 1

Solution: 20(9.81). (0.2m I o.otsm A 70 ve 45V 45(9-81)N GB 70 (9.81). The Angular Melocity be related to the container 'B' by of con the speed fully of w = VA = 13.333 Vp. - 0.075 Also the speed of block A, is VAE w (0.2) - 13-333 V3 (0:2) .. VA = 2.667 Vo (SACE System:Angulos Momento, +[ESyft. Angule Inge Mon-29 - (< syttene fogulas)- Memert) 0 +45) (9:806-276) - 27 (9:8) (6:07) () = (2060110") (13-333va) + 63 V66e-073) +4563: 6674)62)

529.74 - 309.015 = 3.22 Vot 5.25 V₂ + 24.003 VB 220.725 = 32.473 VB - (VB = 6.79 m/s) The after speed of it is the container released from when t = 6 seconds rest is, (V₂ = 6.79 m/8)
The speed of the container when t = 6 seconds after it is released from rest is  $V_{b}$ = 6.79 m/sec.