A jet of water (area $${A_j},$$ velocity $${V_j},$$ density $$\rho $$ ) impinges horizontally on a curved vane which deflects the jet through $${60^0}$$ upwards. If the vane travels horizontally at a speed $$'u'$$ find
(a) the force experienced by the vane, and
(b) the power developed by the vane.

Consider the saline drip bottle shown. If $$\rho $$ is the density of saline, find
(a) Pressure at $$A,$$
(b) The velocity of flow of saline through the tube. (Neglect viscous losses in tube). Atmospheric pressure $${P_{atm}}.$$

Axial operation claw clutches having self-locking tooth profile

The expected life of a ball bearing subjected to a load of $$9800N$$ and working at $$1000RPM$$ is $$3000$$ hours. What is the expected life of the same bearing for a similar load of $$4900$$ $$N$$ and a speed of $$2000rpm$$