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Chapter 9: Q2Q (page 376)
Can you give an example of a system that has no atoms located at its center of mass?
A hoop is a system that has no atoms located at its center of mass.
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Discuss qualitatively the motion of the atoms in a block of steel that falls onto another steel block. Why and how do large-scale vibrations damp out?
String is wrapped around an object of mass M and moment of inertia I (the density of the object is not uniform). With your hand you pull the string straight up with some constant force F such that the center of the object does not move up or down, but the object spins faster and faster (Figure 9,62). This is like a; nothing but the vertical string touches the object.
When your hand is a heightabove the floor, the object has an angular speed. When your hand has risen to a height y above the floor, what is the angular speedof the object? Your result should not containor the (unknown) radius of the object. Explain the physics principles you are using.
Consider the voyage to the Moon that you studied in Chapter 3. Would it make any difference, even a very tiny difference, whether the spacecraft is long or short, if the mass is the same? Explain briefly.
A runner whose mass is 50 kgaccelerates from a stop to a speed of10 m / s in 3 s. (A good sprinter can run100 m in about 10 s, with an average speed of 10 m / s.) (a) What is the average horizontal component of the force that the ground exerts on the runner鈥檚 shoes? (b) How much displacement is there of the force that acts on the sole of the runner鈥檚 shoes, assuming that there is no slipping? Therefore, how much work is done on the extended system (the runner) by the force you calculated in the previous exercise? How much work is done on the point particle system by this force? (c) The kinetic energy of the runner increases鈥攚hat kind of energy decreases? By how much?
Under what conditions does the energy equation for the point particle system differ from the energy equation for the extended system? Give two examples of such a situation. Give one example of a situation where the two equations look exactly alike.
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