What is the ratio L1/L2 of the lengths of the sidse of the rectangle when n=3.95

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A rectangular Plate is rotating with a constant angular speed about an axis that passes perpendcularly sthrough one corner.  The centripetal acceleration measured at a corner A is n times as great times as that measured at corner B. What is the ratio L1/L2 of the lengths of the sidse of the rectangle when n=3.95

 

 

Expert Solution
Step 1 To Determine, the ratio of the sides of the rectangular plate.

Centripetal accelaration=radius×(angular speed)2 Given , aA=3.95(aB)(L12+L22)ω2=3.95×L1×ω2L12+L22=3.95×L1Squaring both sides ,we getL12+L22=15.60×L12L12L12+L22=115.6011+L22L12=115.601+L22L12=15.60L22L12=14.60L12L22=115.60L1L2=115.60=0.25

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