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 $$0.05$$ $$m/s$$?

The following data pertain to a single stage impulse steam turbine:
Nozzle angle $$=$$ $${20^ \circ };$$
Blade velocity $$= 200$$ $$m/s;$$
Relative steam velocity at entry $$= 350$$ $$m/s;$$
Blade inlet $$30;$$
Blade exit angle $$ = {25^ \circ }.$$

If blade friction is neglected, the work done per $$kg$$ steam is

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 $${C_v} = 718\,J/kg\,K.$$