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23 Nov 2019

6.) A mass of 0.2 kg attached to a spring oscillates onafrictionless horizontal surface. Its motion is described by x=0.05 m cos(50 rad/s t + 1.57 rad). Find a) the frequencyandperiod; b) the maximum velocity and acceleration; c) theforceconstant and the mechanical energy.

7. A traveling wave in a string of linear density 0.01 kg permeteris described by thewavefunction y =0.02 msin(50 rad/m x - 1750 rad/s t). Find a) the directionofpropagation; b) the wave length and the period; c) the wavespeedand the tension in the string.

8. A copper wire of cross section area 0.04 cm2andlength 1.2 m is heated from the room temperature 200Cto 40 0C. Find a) the change of its lengthin theprocess; b) the force needed at each end if it were stretchedat T= 20 0C with the same extension. ( The coefficientoflinear expansion for copper is 1.7 x 10-5 /K .TheYoung's modulus for copper is 1.1 x 1011N/m2.)

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