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2) A 10N mass stretches on a vertical spring of 0.5m long. Assuming a dumping force is 9 times the mass velocity. The mass is initially released from a point of 0.3m below the equilibrium position with a velocity of 1.5 m/s upward direction. i) Determine the constant coefficient of the following differential equation:  m(d^2x/dt^x) + b(dx/dt) + kx =0 ii) Replace the equation (i) with the characteristic equation iii)State and justify the root to solve the characteristic equation in (ii) iv) Solve the characteristic equation in (iii)

2) A 10N mass stretches on a vertical spring of 0.5m long. Assuming a dumping force is 9 times the mass velocity. The mass is initially released from a point of 0.3m below the equilibrium position with a velocity of 1.5 m/s upward direction. i) Determine the constant coefficient of the following differential equation:  m(d^2x/dt^x) + b(dx/dt) + kx =0 ii) Replace the equation (i) with the characteristic equation iii)State and justify the root to solve the characteristic equation in (ii) iv) Solve the characteristic equation in (iii)

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2) A 10N mass stretches on a vertical spring of 0.5m long. Assuming a dumping force is 9 times the mass velocity. The mass is initially released from a point of 0.3m below the equilibrium position with a velocity of 1.5 m/s upward direction.

i) Determine the constant coefficient of the following differential
equation:  m(d^2x/dt^x) + b(dx/dt) + kx =0

ii) Replace the equation (i) with the characteristic equation

iii)State and justify the root to solve the characteristic equation in (ii)

iv) Solve the characteristic equation in (iii)

 

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