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What is the direction of the orbital (translational) angular momentum of the comet shown in the figure relative to the Sun?

Short Answer

Expert verified

Direction of angular momentum is in negative Z- direction.

Step by step solution

01

Definition of Angular Momentum

Angular momentum is a measure of rotational motion.

Translational (or “orbital”) angular momentum describes motion such as the orbit of the Earth around the Sun. Rotational (or "spin") angular momentum describes motion such as the revolution of the Earth around its own axis.

Momentum Principle relates a change in momentum to the net force on a system, the Angular Momentum Principle relates a change in angular momentum to the net torque, or twist, applied to a system.

02

Direction of Comet relative to Sun

Applying the right-hand rule, the comet's translational angular momentum shown in fig.1 is in the negative z direction: inwards the page.

Fig.1

Therefore, the direction of angular momentum is in negative Z- direction.

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Most popular questions from this chapter

At a particular instant the location of an object relative to location \(A\) is given by the vector \({\overrightarrow r _A} = \left\langle {6,6,0} \right\rangle {\rm{m}}\). At this instant the momentum of the object is \(\overrightarrow p = \left\langle { - 11,13,0} \right\rangle {\rm{kg}} \cdot {\rm{m}}/{\rm{s}}.\) What is the angular momentum of the object about location \(A\)?

A rotating uniform-density disk of radius 0.6mis mounted in the vertical plane, as shown in Figure 11.88.The axle is held up by supports that are not shown, and the disk is free to rotate on the nearly frictionless axle. The disk has mass 5kg.A lump of clay with mass0.4kgfalls and sticks to the outer edge of the wheel at the location -0.36,0.480,0m,relative to an origin at the centre of the axle. Just before the impact the clay has speed 8m/s,and the disk is rotating clockwise with angular speed0.51radians/s.

(a) Just before the impact, what is the angular momentum (magnitude and direction) of the combined system of wheel plus clay about the centerC?(As usual,xis to the right,yis up, andzis out of the screen, toward you.) (b) Just after the impact, what is the angular momentum (magnitude and direction) of the combined system of wheel plus clay about the centerC?(c) Just after the impact, what is the angular velocity (magnitude and direction) of the wheel? (d) Qualitatively, what happens to the linear momentum of the combined system? Why? (A) There is no change because linear momentum is always conserved. (B) Some of the linear momentum is changed into angular momentum. (C) Some of the linear momentum is changed into energy. (D) The downward linear momentum decreases because the axle exerts an upward force.

Under what circumstances is angular momentum constant? Give an example of a situation in which the x component of angular momentum is constant, but the y component isn’t.

Give an example of a situation in which an object is traveling a straight line, yet has non-zero angular momentum.

The nucleus dysprosium-160 (containing 160 nucleons) acts like a spinning object with quantized Angular momentum. L2=lI+1h2, and for this nucleus it turns out thatmust be an even integer . When a Dy-160 nucleus drops from the l = 2 state to the l = 0 state, it emits an 87 KeV photon . (a) what is the moment of inertia of the Dy-160 nucleus? (b) Given your result from part (a), find the approximate radius of the Dy-160 nucleus, assuming it is spherical. (In fact, these and similar experimental observation have shown that some nuclei are not quite spherical.) (c) The radius of a (spherical) nucleus is given approximately by(1.3x10-15m)A13 , where A is the total number of protons and neutrons. Compare this prediction with your result in part (b).

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