Midterms 1 Consider the vibration of a homogeneous string with body force Q Au If e JE t Au in oil V10 t UCL t O U X o 0 g Solve for u and determine the freguencies of vibration 2 Consider the...

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Midterms 1 Consider the vibration of a homogeneous string with body force Q Au If e JE t Au in oil V10 t UCL t O U X o 0 g Solve for u and determine the freguencies of vibration 2 Consider the eduction of vibration for a homogeneous string with no damping a body faces Zaid S. Khalil Zaid S. Khalil Zaid S. Khalil Zaid S. Khalil what happens to the total energy of the vibrating string if i U Olt U Lit O ii cont o Ucl t o iii Uco t o É hit A UCht for some A o IV Uco t o É hit A UCLA for some AL o Give a physical explanation ofyour results 3 Consider the vibrations of a rectangular membrane U x y t modelled as follows ii U copy t U I Y t 0 U LX Y o f x Y x y 07 0 Find an initial displacement profile foxy such that U E 1 107 5 4 Consider the vibrations of a homogeneous circular membrane modeled as follows 3 C O'u in D rio red R Offit UCR Oit Fa Rio t up II Riolo 0 Obtain an expression that determine the natural freguencies of vibrations and solve the problem 5 Solve as simple as possible 4 c'Du in D rio OMER TEGAN t o UCR Oit o fr Ot C it I it o 1710,07 93 Sin 80 sin 9 cost 6 Solve 3 c Du in D no Osher Of 9 UCR O t 0 UCR ont o UCR t o f ucn.no 19,9107 f a