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3. A simplified representation of the temperature dynamics of two adjacent masses is shown below. The mass with capacitance C is perfectly insulated on

 

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3. A simplified representation of the temperature dynamics of two adjacent masses is shown below. The mass with capacitance C is perfectly insulated on all sides except one (to the right end), which has a convective resistance R2. The thermal capacitances of the masses are C and C, respectively, and their representative uniform temperatures are T and T, respectively. The thermal capacitance of the surroundings is very large and the temperature is To. Develop a model of T dynamics (i.e., a differential equation of T for the input To; T shouldn't be in the final answer) and simplify the model if the thermal capacitance C is very small (30pt). T T R R T 0 C C Insulated

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