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Grade upto college level Mechanics

Show that the value of src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAdCAIAAAAl5NuSAAAAfElEQVQ4je3U0Q2AIAxF0TdXB+o8nabLMIx+CIhRiq2JxMT+kkNvTATLg8GP38dJCAAAkhTZvHlW/+aCXbbBys7oBit7o3cciD5+bWd0xZHogkPRGdvRyr0z5GNjsY0H0Taui5PQxSV3srt/xQDb8yFcH4fzNBdNf8Mm4BWPBEZp5df+LwAAAABJRU5ErkJggg== in Fig. is given by mvh, where h is the distance along the z axis from 0 to the point of connection of the radial arm to the vertical shaft
src=data:image/png;base64,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

Profile image of Shane Macguire
11 Years agoGrade upto college level
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1 Answer

Profile image of Deepak Patra
11 Years ago
The figure below shows the motion of mass and the components of angular momentum:
233-2287_1.PNG
233-486_1.PNG