Applications of SecondβOrder Equations. Skydiving. The principal quantities used to describe the motion of an object are position ( s ), velocity ( v ), and acceleration ( a ). Since velocity is the
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y = e β ct / 2m(c1cosΟ1t + c2sinΟ1t). By the method used in Section 6.1 to derive the amplitudeβphase form of the displacement of an object in simple harmonic motion, we can
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Review solution method of second order, homogeneous ordinary differential equations Applications in free vibration analysis - Simple mass-spring system - Damped mass-spring
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Spring-Mass Systems in Free Motion In this section, we discuss one of the more common applications of second-order ODEβs, the free motion of a spring-mass system. We
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