A mass of 620 g stretches a spring 4 cm. If the spring-mass system is placed in a medium that imparts a viscous force of 4 N when the speed of the mass is 9 cm/sec, find ?, the damping coefficient for this system. Use ?=9.8 m/sec2.
Here Viscous force = cv = 4
c = 4/v = 4/9e-2 = 44.44
Damping coefficient ? = c/2m = 44.44/(2*0.620) = 35.84 s^-1 Answer
A mass of 620 g stretches a spring 4 cm. If the spring-mass system is placed...
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helpful formulas:
mu’’(t)+cu’(t)+ku(t)=0
m is the mass
c is the damping coefficiant
k is spring constant
Fd=cu’(t)
k=mg/(spring displacement)
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