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Chapter 11: Q1CP (page 418)

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

In Figure11.89depicts a device that can rotate freely with little friction with the axle. The radius is0.4m,and each of the eight balls has a mass of0.3kg.The device is initially not rotating. A piece of clay falls and sticks to one of the balls as shown in the figure. The mass of the clay is0.066kgand its speed just before the collision is10m/s.

(a) Which of the following statements are true, for angular momentum relative to the axle of the wheel? (1) Just before the collision, r⊥=0.42/2=0.4cos(45°)(for the clay). (2) The angular momentum of the wheel is the same before and after the collision. (3) Just before the collision, the angular momentum of the wheel is0. (4) The angular momentum of the wheel is the sum of the angular momentum of the wheel + clay after the collision is equal to the initial angular momentum of the clay. (6) The angular momentum of the falling clay is zero because the clay is moving in a straight line. (b) Just after the collision, what is the speed of one of the balls?

If an object has a moment of inertia \(19\,\,{\rm{kg}} \cdot {{\rm{m}}^{\rm{2}}}\) and the magnitude of its rotational angular momentum is \(36\,\,\,{\rm{kg}} \cdot {{\rm{m}}^{\rm{2}}}{\rm{/s}},\) what is its rotational kinetic energy?

In figure two small objects each of mass m=0.3kgare connected by a lightweight rod of length d=1.5m.At a particular instant they have velocities whose magnitude are v1=38m/sand v2=60m/sand are subjected to external forces whose magnitudes are F1=41NandF2=26N. The distance role="math" localid="1668661918159" h=0.3m,and the distancew=0.7m.The system is moving in outer space. Assuming the usual coordinate system with+xto the right, +ytoward the top of the page, and +zout of the page toward you, calculated these quantities for this system:

(a) p→total,(b) v→CM, (c) L→tot,A, (d)L→rot,(e) L→transA, (f) P→totalat a time 0.23s after the initial time.

Under what conditions is the torque about some location equal to zero?

A disk of mass 3 kgand radius0.15 mhangs in the xy plane from a horizontal low-friction axle. The axle is 0.09 m from the center of the disk. What is the frequencyof small-angle oscillations of the disk? What is the period?
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