7. A plank is 10 m long and has a mass of 20 kg. It is placed on horizontal ground at the edge of a vertical river bank, so that 2 m of the plank is projecting over the edge, as shown in Figure 1. 10m. 2m Figure 1: A plank balanced over a stream. (a) A child of mass 10 kg stands at the left edge of the plank. Calculate the centre of mass of the child-plank system. (b) What assumptions you have made in calculating the centre of mass? (c) The child urges his father of mass 70 kg to stand at the right end of the plank, stating that that the plank won't tip up. Show that the child is correct. (d) If the plank moved so that 3 m is projecting over the edge, whilst the child and his father remain at both ends, determine what will happen.
7. A plank is 10 m long and has a mass of 20 kg. It is placed on horizontal ground at the edge of a vertical river bank, so that 2 m of the plank is projecting over the edge, as shown in Figure 1. 10m. 2m Figure 1: A plank balanced over a stream. (a) A child of mass 10 kg stands at the left edge of the plank. Calculate the centre of mass of the child-plank system. (b) What assumptions you have made in calculating the centre of mass? (c) The child urges his father of mass 70 kg to stand at the right end of the plank, stating that that the plank won't tip up. Show that the child is correct. (d) If the plank moved so that 3 m is projecting over the edge, whilst the child and his father remain at both ends, determine what will happen.
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Transcribed Image Text:7. A plank is 10 m long and has a mass of 20 kg. It is placed on horizontal ground at the edge
of a vertical river bank, so that 2 m of the plank is projecting over the edge, as shown in
Figure 1.
10m.
2m
Figure 1: A plank balanced over a stream.
(a) A child of mass 10 kg stands at the left edge of the plank. Calculate the centre of mass
of the child-plank system.
(b) What assumptions you have made in calculating the centre of mass?
(c) The child urges his father of mass 70 kg to stand at the right end of the plank, stating
that that the plank won't tip up. Show that the child is correct.
(d) If the plank moved so that 3 m is projecting over the edge, whilst the child and his
father remain at both ends, determine what will happen.
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