- Wa F Wc Vc Wrod Figure 3 B Determine The Displacement At Point A As The System Moves To This Final Position 3 Marks 1 (156.54 KiB) Viewed 34 times
- Wa F Wc Vc Wrod Figure 3 B Determine The Displacement At Point A As The System Moves To This Final Position 3 Marks 2 (195.17 KiB) Viewed 34 times
The 5.0 kg rod BC is attached by pins to two uniform disks as shown. The mass of the large disk is 5.5 kg and that of the smaller disk is 1.0 kg. A spring with spring constant of 45 N/m is attached to the pivot joint at 4, which is unstretched at the position shown in Fig. 3(a). 50 mm 100 mm 50 mm Figure 3(a) By setting the datum at point A. what is the potential energy of the system at the initial position as shown in the figure? Note that you only need to calculate the potential energy of the rod, because the potential energies of the disks do not change in this problem. (3 marks) (b) Knowing that the system is released from rest from the position shown in Fig. 3(a), and the two disks roll without slipping. The large disk rotates through 90° clockwise to the position shown in Fig. 3(b), where point B is directly below point 4, and the rod is in a horizontal orientation at this instant. WC @ VBC VC Wrod Figure 3(b) Determine the displacement at point 4, as the system moves to this final position. (3 marks) (c) The total potential energy of the system at this position. Again, you can ignore the potential energies of the disks. (5 marks) (d) The kinetic energy of the rod BC at this given position, which is to be expressed in terms of the linear velocity of the rod, VBC (4 marks) (e) the kinetic energy of the large disk at this instant. (4 marks) (f) Finally, the magnitude of the velocity of the rod vgc at this instant. (6 marks) B VA