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Chapter 4: Q17Q (page 165)
Describe two examples of oscillating systems that are not harmonic oscillators.
Examples of oscillating systems which is not harmonic are the bouncing ball, Earth in its orbit, and a swing motion.
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A hanging wire made of an alloy of iron with diameter 0.09cm is initially 2.2m long. When a 66kg mass is hung from it, the wire stretches an amount of 1.12cm. A mole of iron has a mass of 56g, and its density is 7.87 . Based on these experimental measurement, what is Young鈥檚 modulus for this alloy iron.
Two rods are both made of pure titanium. The diameter of rod A is twice the diameter of rod B, but the lengths of the rods are equal. You tap on one end of each rod with a hammer and measure how long it takes the disturbance to travel to the other end of the rod. In which rod did it take longer? (a) Rod A. (b) Rod B. (c) The times were equal
If a chain of 50identical short springs linked end to end has a stiffness of 270N/m, what is the stiffness of one short spring?
Suppose that we hang a heavy ball with a mass of 10 kg (about 22 lb ) from a steel wire 3m long that is 3 mm in diameter. Steel is very stiff, and Young鈥檚 modulus for steel is unusually large, Calculate the stretch of the steel wire. This calculation shows why in many cases it is a very good approximation to pretend that the wire doesn鈥檛 stretch at all (鈥渋deal non extensible wire鈥�).
(a)A climber whose mass is 55 kg hangs motionless from a rope. What is the tension in the rope?
(b)Later, a different climber whose mass is 88 kg hangs from the same rope. Now what is the tension in the rope?
(c)Compare the physical state of the rope when it supports the heavier climber to the state of the rope when it supports the lighter climber. Which statements about the physical state of the rope are true? Check all that apply. (1) Because the same rope is used, the tension in the rope must be the same in both cases. (2) The interatomic bonds in the rope are stretched more when the rope supports the heavier climber than when the rope supports the lighter climber. (3) The rope is slightly longer when it supports the heavier climber than when it supports the lighter climber.
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