Question
Download Solution PDFIn the following governor, three straight leaf springs are arranged at equal angular intervals round the spindle and each spring carries a weight at the centre. The weights move outwards and the springs bend as they rotate about the spindle axis with increasing speed.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Pickering governor
The Pickering governor is shown in Fig. It consists of three straight leaf springs arranged at equal angular intervals around the spindle. Each spring carries a weight at the centre. The weights move outwards and the springs bend as they rotate about the spindle axis with increasing speed.
It is mostly used for driving gramophones.
Let m= mass attached at the centre of the leaf spring
a = distance from the spindle axis to the centre of gravity of the mass when the governor is at rest
δ = deflection of the centre of the leaf spring
ω = angular speed of the spindle
h = lift of the sleeve
The deflection of a leaf spring with both ends fixed and carrying a central load W, is given by
\(\delta = \frac{WL^3}{192 El}\)
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