(20pts) Air T[infinity] = 10 °C and u[infinity] = 100 m/s flows over a flat plate. Assume that the density of air is 1.0 kg/m3 and the dynamics viscosity is 1.8 ×10-6 kg/m∙s. (a) Determine the velocity boundary layer thickness at, δ at x = 2 m (x indicates the distance from the leading edge of the plate). (b) Determine local friction coefficient at x = 2 m. (c) Determine the Nusselt number at x = 2 m. Assume that the velocity boundary layer thickness is the same as the thermal boundary layer thickness (δ = δT).

An engine, weighing 3000 n, is supported on a pedestal mount. it has been observed that the engine induces vibration into the surrounding area through its pedestal at the maximum operating speed. determine the stiffness of the dynamic vibration absorber spring in (n/m) that will reduce the vibration when mounted on the pedestal. the magnitude of the exciting force is 250 n, and the amplitude of motion of the auxiliary mass is to be limited to 2 mm note: in this question type-in right numbers, no decimals, no fractions, no unit. approximate to right number if needed