A journal bearing has a shaft diameter of $$40mm$$ and a length of $$40mm.$$ The shaft is rotating at $$20$$ $$rad/s$$ and viscocity of the lubricant is $$20mPa.s.$$ The clearance is $$0.020mm.$$ The loss of the torque due to viscocity of the lubricant is approximately

Match the type of gears with their most appropriate description

Type of gear
(P)$$\,\,\,\,\,$$ Helical
(Q)$$\,\,\,\,\,$$ Spiral Bevel
(R)$$\,\,\,\,\,$$ Hypoid
(S)$$\,\,\,\,\,$$ Rack and pinion

Description
1.$$\,\,\,\,\,$$ Axes non parallel a and non intersecting
2$$\,\,\,\,\,$$. Axes parallel and teeth are inclined to the axis
3.$$\,\,\,\,\,$$ Axes parallel and teeth are parallel to the axis
4.$$\,\,\,\,\,$$ Axes are perpendicular and intersecting and teeth are inclined to the axis
5.$$\,\,\,\,\,$$ Axes are perpendicular and used for large speed reduction
6.$$\,\,\,\,\,$$ Axes parallel and one of the gears has infinite radius

A spur gate has a module of $$3mm,$$ number of teeth $$16,$$ a face width of $$36mm$$ and a pressure angle of $${20^ \circ }$$. It is transmitting a power of $$3KW$$ at $$20rev/s.$$ Taking a velocity factor of $$1.5$$ and a form factor of $$0.3,$$ the stress in the gear tooth is about

A steel bar of $$10$$ $$mm\,\, \times \,\,50\,\,mm$$ is cantilevered with two $$M12$$ bolts ($$P$$ and $$Q$$) to support a static load of $$4$$ $$kN$$ as shown in figure aside.

The resultant shear stress on rivet $$P$$ is closest to