4. You get tired of watching the hypnotic motion of the backpack bouncing up and

Question

4. You get tired of watching the hypnotic motion of the backpack bouncing up and down. So you take it off the bungee cord and hang it from a rope 2.00 m long rope instead. A breeze starts it swinging back and forth slightly, which is at least as hypnotic. (a) What is the period of the swings of the backpack? (b) Your friend is hungry. They get up and remove about 2.00 kg of food from the backpack (they are very hungry). Does this have any effect on the period of the swinging? Explain. (c) You decide that if you are going to have to put up with things moving hypnotically in your campsite they might as well be useful. It strikes you that it would be handy for timing things if the backpack swung with a period of 1.00 s. What do you have to do to achieve this?

Explanation / Answer

a) T = 2*sqrt(L/g) = 2*3.14*sqrt(2/9.8) = 2.84s

b) No. because period T does not depend on the mass,

c) Here period T = 1.0s is given Hence we can calculate length of the rope L by using equation,

T = 2*sqrt(L/g)

1.0 = 2*3.14*sqrt(L/9.8) => L = 0.25m

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