Atomato can be idealized as a cnhere lealized as a sphere with internal heat generation that is due to ripening. consider a tomato with a diameter of 80 mm, density of 840 kg/m? , thermal conductivity of 0.5 w/(mk), uniform internal heat generation of 4000 j/(kg*day), and a film coefficient of 7.5 w/(m²k). if the tomato is wrapped in 5 mm of urethane foam, k=0.026 w/(mk), estimate the steady state temperature at the center of the sphere with a surrounding air temperature of 2°c.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Draw the engineering stress-strain curve for (a) bcc; (b) fcc metals and mark important points.

Aturning operation is performed with following conditions: rake angle of 12°, a feed of 0.35 mm/rev, and a depth of cut of 1.1 mm. the work piece is aluminum alloy 6061 with t6 heat treatment (a16061-t6). the resultant chip thickness was measured to be 1.0 mm. estimate the cutting force, fc. use shear stress of 207 mpa and coefficient of friction on the tool face of 0.6.