hw10solf10 - Homework #10 Solutions 1. 1 RT 2 Mc 3 =1 g/cm...

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Homework #10 Solutions 1. α α ρ = σ 2 c 1 M RT ρ =1 g/cm 3 = 1000 kg/m 3 R=8.31 J /mol-K T=25 ˚ C = 298 K Mc=10 kg/mol α =2.0 ( )( )( ) kPa 433 m / J 367 , 433 2 1 2 mol / kg 10 K 298 K mol / J 31 . 8 m / kg 1000 3 2 3 = = = σ 2. The belt is made of rubber, and is stretched to fit over the pulleys. Since it is stretched, when the car warms up the belt contracts, and becomes tighter, causing the belt to stop slipping and the sound to go away. 3. a. The total stress is the sum of the stresses in the matrix and the fiber. The total strain is equal to the strain in the matrix, which is equal to the strain in the fibers. b. For purpose of explanation, let’s say the fibers have the lower ductility. Since the strains are equal, everything experiences the same strain, and so when the fibers reach the strain corresponding to their ductility, they will fail. The matrix strain is still below its ductility, so it will not fail. 4. The first thing to do is determine if the matrix fails first or the fibers fail first.
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hw10solf10 - Homework #10 Solutions 1. 1 RT 2 Mc 3 =1 g/cm...

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