In a point to point control $$NC$$ machine, the slides are positioned by an integrally mounted stepper motor drive. If the specification of the motor is $$1$$ deg/pulse, and the pitch of the lead screw is $$3.6$$ $$mm,$$ what is the expected positioning accuracy?

A mass of 35 kg is suspended from a weightless bar AC, which is supported by a cable CB and a pin at A as shown in Fig. below. The pin reactions at A on the bar AB are

The suspension system of a two-wheeler can be equated to a single spring-mass system with a viscous damper connected in series. Sketch the free body diagram and give the equations of motion. For a mass $$m = 50$$ $$kg$$ and a spring with a stiffness of $$35$$ $$kN/m,$$ determine what should be the damping coefficient (damping constant) for critical damping. What can be the damping force for a plunger velocity of $$0.05$$ $$m/s$$?

Air enters a frictionless adiabatic converging nozzle at $$10$$ bar, $$500$$ $$K$$ with negligible velocity. The nozzle dis-charges to a region at $$2$$ bar. If the exit area of the nozzle is $$2.5\,c{m^2}$$ find the flow rate of air through the nozzle. Assume for air, $${C_p} = 1005\,J/kg\,K$$ and $${C_v} = 718\,J/kg\,K.$$