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Chapter 11: Q4Q (page 458)

Give examples of translational angular momentum and rotational angular momentum in our Solar System.

Short Answer

Expert verified

The example of translational angular momentum and rotational angular momentum is rotation of earth around the sun.

Step by step solution

01

Definition of Angular momentum and rotational angular momentum

The rotating inertia of an object or system of objects in motion about an axis that may or may not pass through the object or system is described by angular momentum.

The rotating analog of linear momentum is angular momentum (also known as moment of momentum or rotational momentum). A closed system's total angular momentum remains constant.

02

The diagram shows the rotation of earth around the sun

Draw the diagram which shows the rotation of Earth around the Sun.

03

Explain the diagram

The angular momentum of the earth due to rotation on its own axis is an example of rotational angular momentum in our solar system (relative to the centre of mass of the earth).

As a result, the angular momentum of the earth in relation to the location of the Sun serves as an example of translational angular momentum.

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Most popular questions from this chapter

In Figure 11.95 two small objects each of mass \({m_1}\)are connected by a light weight rod of length \(L.\) At a particular instant the center of mass speed is\({v_1}\) as shown, and the object is rotating counterclockwise with angular speed \({\omega _1}\). A small object of mass \({m_2}\) travelling with speed \({v_2}\) collides with the rod at an angle \({\theta _2}\) as shown, at a distance\(b\)from the center of the rod. After being truck, the mass \({m_2}\) is observed to move with speed \({v_4}\) at angle\({\theta _4}\).All the quantities are positive magnitudes. This all takes place in outer space.

For the object consisting of the rod with the two masses, write equations that, in principle, could be solved for the center of mass speed \({v_3},\) direction \({\theta _3},\) and angular speed \({\omega _3}\)in terms of the given quantities. Sates clearly what physical principles you use to obtain your equations.

Don’t attempt to solve the equations; just set them up.

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.

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.

As shown in figure, seven forces all with magnitude \(\left| {\overrightarrow F } \right| = 25{\rm{ N}}\) are applied to an irregularly shaped object. Each force is applied at a different location on the object, indicated by the tail of the arrow; the directions of the force differ. The distances shown in the diagram have these values: \(w = 9{\rm{ m}},{\rm{ }}h = 14{\rm{ m}}\)and\(d = 13{\rm{ m}}\). For each force, calculate the \(z\)-component of the torque due to that force, relative to location A (\(x\) to the right, \(y\)up, \(z\) out of the page). Make sure you give the correct sign. Relative to location A, what is the \(z\) component of the net torque acting this object?

A disk of radius8 cmis pulled along a frictionless surface with a force of10 N by a string wrapped around the edge (Figure 11.102). 24 cmof string has unwound off the disk. What are the magnitude and direction of the torque exerted about the center of the disk at this instant?
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