Homework SoursePlease state whether the statement below is true or false If
Please state whether the statement below is true or false. If true or false, please explain.
The motion of the spring which is oscillatory has a positive velocity when the spring expands and a negative velocity when the spring contracts. Thus the negative value of the velocity can only be taken care of by the absolute value of dx/dt, i.e. |dx/dt|. Therefore the damping term which oscillates between positive and negative values is better represented by ?|dx/dt|dx/dt instead of ?(dx/dt)2.
The motion of the spring which is oscillatory has a positive velocity when the spring expands and a negative velocity when the spring contracts. Thus the negative value of the velocity can only be taken care of by the absolute value of dx/dt, i.e. |dx/dt|. Therefore the damping term which oscillates between positive and negative values is better represented by ?|dx/dt|dx/dt instead of ?(dx/dt)2.
Solution
the statement if false because in case of damping when you are using dx/dt multiplied by dx/dt then because of the multiplication we always get positive values no matter whether dx/dt is positive or negative. hope i have answered your question. if u still have any doubt post it as comment. have a nice day !
