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Work and energy in rotating systems
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10.1119/1.4807897
/content/aapt/journal/ajp/81/8/10.1119/1.4807897
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/81/8/10.1119/1.4807897
View: Figures

Figures

Fig. 1.

The position of a particle coincides for reference frames Σ and , because they have common origin. The vector that defines the angular velocity of with respect to Σ is defined with a right-hand convention.

Fig. 2.

A block of mass slides on a table along a groove, which rotates with constant angular velocity . The weight and the normal forces and on the block are illustrated.

Fig. 3.

Top view of the motion seen in both the inertial frame Σ and the rotating frame , for an initial radial velocity . (a) In the transverse normal force gives a nonzero contribution to the work, and the displacement of the block has radial and transverse components. (b) In the block's displacement is radial, and the work done by the centrifugal force corresponds to the total work seen in . In , the initial and final coordinates are represented by and , respectively.

Fig. 4.

General dependence of the speed on the radius. The three types of solutions are illustrated.

Fig. 5.

Position of a particle from the point of view of three reference frames: (1) the inertial frame ; (2) the non-inertial frame that is in pure translation with respect to ; and (3) the system that rotates with angular velocity with respect to .

/content/aapt/journal/ajp/81/8/10.1119/1.4807897
2013-08-01
2014-04-21

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