A mass M, of 20 kg is attached to the free end of a steel cantilever beam of length 1000 mm having a cross-section of 25 $$\, \times \,$$ 25 mm. Assume the mass of the cantilever to be negligible and E_steel = 200 Gpa. If the lateral vibration of this system is critically damped using a viscous damper, the damping constant of the damper is

Consider a steam power plant using a reheat cycle as shown. Steam leaves the boiler and enters the turbine at $$4$$ $$MPa,$$ $${350^ \circ }C$$ $$\left( {{h_3} = 3095\,\,kJ/kg} \right).$$ After expansion in the turbine to $$400$$ $$kPa$$ $$\left( {{h_4} = 2609\,\,kJ/kg} \right)$$, the steam is reheated to $${350^ \circ }C$$ $$\left( {{h_5} = 3170\,kJ/kg} \right),$$ and then expanded in a low pressure turbine to $$10$$ $$kPa$$ $$\left( {{h_6} = 2165\,kJ/kg} \right).$$

The enthalpy at the pump discharge $$({h_2})$$ is

Consider a steam power plant using a reheat cycle as shown. Steam leaves the boiler and enters the turbine at $$4$$ $$MPa,$$ $${350^ \circ }C$$ $$\left( {{h_3} = 3095\,\,kJ/kg} \right).$$ After expansion in the turbine to $$400$$ $$kPa$$ $$\left( {{h_4} = 2609\,\,kJ/kg} \right)$$, the steam is reheated to $${350^ \circ }C$$ $$\left( {{h_5} = 3170\,kJ/kg} \right),$$ and then expanded in a low pressure turbine to $$10$$ $$kPa$$ $$\left( {{h_6} = 2165\,kJ/kg} \right).$$

The thermal efficiency of the plant neglecting pump work is

A steel billet of $$2000$$ $$kg$$ mass is to be cooled from $$1250$$ $$K$$ to $$450$$ $$K.$$ The heat released during this process is to be used as a source of energy. The ambient temperature is $$303$$ $$K$$ and specific heat of steel is $$0.5$$ $$kJ/kg K.$$ the available energy of this billet is