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Chapter 11: Q9Q (page 458)
Consider a rotating star far from other objects. Its rate of spin stays constant, and its axis of rotation keeps pointing in the same direction. Why?
The rate of spin stays constant, and its axis of rotation keeps pointing in the same direction due to the angular momentum.
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A diver dives from a high platform (Figure 11.100). When he leaves the platform, he tucks tightly and performs three complete revolutions in the air, then straightens out with his body fully extended before entering the water. He is in the air for a total time of.What is his angular speed just as he enters the water? Give a numerical answer. Be explicit about the details of your model, and include (brief) explanations. You will need to estimate some quantities.
You sit on a rotating stool and hold barbells in both hands with your arms fully extended horizontally. You make one complete turn in .You then pull the barbells in close to your body. (a) Estimate how long it now takes you to make one complete turn. Be clear and explicit about the principles you apply and about your assumptions and approximations. (b) About how much energy did you expand?
A common amusement park ride is a Ferris wheel (see figure, which is not drawn to scale). Riders sit in chairs that are on pivots so they remain level as the wheel turns at a constant rate. A particular Ferris wheel has a radius of 24 meters, and it make one complete revolution around its axle (at location ) in In all of the following questions, consider location (at the center of the axle) as the location around which we will calculate the angular momentum. At the instant shown in the diagram, a child of mass, sitting at location , is traveling with velocity .
(a.) What is the linear momentum of the child? (b) In the definition what is the vector ? (c) what is ? (d) what is the magnitude of the angular momentum of the child about location ? (e) What is the plane defined by (that is, the plane containing both of these vectors)? (f) Use the right-hand rule to determine thecomponent of the angular momentum of the child about location. (g) You used the right-hand rule to determine the component of the angular momentum, but as a check, calculate in terms of position and momentum: What is? Therefore, what isthe component of the angular momentum of the child about location? (h) The Ferris wheel keeps turning, and at a later time, the same child is at locationwith coordinatesm relative to location , moving with velocityNow what is the magnitude of the angular momentum of the child about location ?
According to the Bohr model of the hydrogen atom, what is the magnitude of the translational angular momentum of the electron (relative to the location of the proton) when the atom is in the 2nd excited state above the ground state
In figure two small objects each of mass are connected by a lightweight rod of length At a particular instant they have velocities whose magnitude are and and are subjected to external forces whose magnitudes are and. The distance role="math" localid="1668661918159" and the distanceThe system is moving in outer space. Assuming the usual coordinate system withto the right, toward the top of the page, and out of the page toward you, calculated these quantities for this system:
(a) (b) (c) (d)(e) (f) at a time after the initial time.
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