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The upper end of a wire of radius 4mm & ...

The upper end of a wire of radius 4mm & length 100 cm is clamped and its other rend is twisted through an angle of `30^(@)` the angle of shear is.

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Angle of twist at free end
`30^(@) = (30)/(180) xx pi rad = (pi)/(6)` rad
Displacement of free surface
`Delta L = (2pi r)/(2pi) xx (pi)/(6)`
`= (pi r)/(6) = (pi xx 0.4)/(6)cm`
Angle of shear or shearing strain `= (Delta L)/(L)`
`= (pi xx 0.4)/(6 xx 100)` rad
`= (pi xx 0.4)/(6 xx 100) xx (180)/(pi)` degree `= 0.12^(@)`
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