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In Section 8-1 we stated that, in general, six variables are required to locate a rigid body with respect to a particular reference frame. How many variables are required to locate the body of Fig. with respect to the xy frame shown in that figure? If this number is not six, account for the difference.

In Section 8-1 we stated that, in general, six variables are required to locate a rigid body with respect to a particular reference frame. How many variables are required to locate the body of Fig. with respect to the xy frame shown in that figure? If this number is not six, account for the difference.
 

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
8 years ago
To locate the body in two dimensional plane 5 variables are required. In a two dimensional pane, two variables are needed to locate the center of mass of the object, one is needed to locate the axis of rotation of object, one is needed to account for the fact if the rotation of the object is clockwise or counterclockwise and one is needed to account for the rotation of the object about the reference frame.
This makes the total of 5 variables to describe the location and orientation of the object in 2-D plane.

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