Vibration mass
The following mass spring system have the following components ( mass, spring, damper) with an external force exerting on it to make its initial velocity V=3 m/s. find the force in newton!
Data..
M=5 kg.
K=1000 N/M. "Spring stiffness"
B=59 N/M^2. "Damping coefficient"
X=0.3 Meter. "distance traveled"
T=4 sec. "Time to make distance (x)"
The answer is 486.
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1 solution
Solution:
M a + K x + B v =Force --> Equation of motion.
"a - acceleration & x - displacement & v - Velocity "
V=Vi+at ---> 1
V^2 = Vi^2 + 2 a*s ---> 2
By solving the two equations we get V=3.15 m/s & a=0.0375 m/s^2
Substitute in the equation of motion we get that F= 486 Newton.
Done.