1.

A taut string having tension 100 N and linear mass density `0.25 kg//m` is used inside a cart to generate a wave pulse starting at the left end, as shown. What should be the velocity of the cart so that pulse remains stationary w.r.t. ground.

Answer» Velocity of pulse `= sqrt((T)/(mu)) = 20 m//s`
Now `overset(vec)(v)_(PG) = overset(vec)(v)_(PC) + overset(vec)(v)_(CG)`
`0 = 20 I + overset(vec)(v)_(CG)`
`overset(vec)(v)_(CG) = -20i m//s`


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