A shear spring is made by bonding the rubber annulus to a rigid fixed ring and a plug. When an axial load P is placed on the plug, show that the slope at point y in the rubber is dy/dr = -tan y = -tan(P/ (2mhGr)). For small angles we can write dy /dr = -P/ (2mhGr). Integrate this expression and evaluate the constant of integration using the condition that y = 0 at r = ro. From the result compute the deflection y = 0 of the plug. Prob. 3-32