There is no data, formulization Analysis Use the following symbols for the analy

Question

There is no data, formulization

Analysis Use the following symbols for the analysis: Mc=mass of friction cart mH=mass of hanging mass g=acceleration due to gravity N=normal force on the cart by the track T=tension force on cart by the string T=tension force on hanging mass by string fk=kinetic friction force on cart by the track Uk=coefficient of kinetic friction ax=acceleration along x-direction ay=acceleration along y-direction Theta angle of incline of track Draw a free-body diagram of the friction cart on the horizontal track. Write down the x-component Newton's-2nd-Law equation for the friction cart on the horizontal track. Write down the y-component Newton's-2nd-Law equation for the friction cart on the horizontal track. Draw a free-body diagram of the hanging mass. Next to the free-body diagram, write down the y-component Newton's-2nd-Law equation for the hanging mass. Starting with fk = mu k N, arrive at an expression for mu k in terms of the mass of the cart mc and the mass the. hanger mH Neither the normal force N nor the tension force T should appear in your answer. Show your work below. Using your data, substitute numbers into the expression you derived in Question #3 and show a detailed calculation of mk for one of your friction carts. Indicate which surface you are choosing for this sample calculation (cork, felt, or Teflon). Draw a free-body diagram of the friction cart on the inclined track. You may want to use the chart to keep track of the components in each directions Write down the x-component Newton' s-2nd-Law equation for the friction cart on the inclined track Write down the y-component Newton's-2nd-Law equation for the friction cart on the inclined track. Draw a free-body diagram of the hanging mass. Next to the free-body diagram, write down the y-component Newton's-2nd-Law equation for the hanging mass. Starting with fk = mu k N, arrive at an expression for mu k in terms of the the mass of the cart mc and the mass of the hanger mH Neither the normal force .N nor the tension force T should appear in your answer. Show clearly your work below: Using your data, substitute numbers into the expression you derived in Question #6(i) and show a sample calculation of mu k for one of your friction carts. Indicate which surface you are choosing for this sample calculation (cork, felt, or Teflon). Enter your four calculated values of the coefficient of kinetic friction into the table below. Is there a nonzero normal force or frictional force on the hanging masses? Why or why not? Consider your four calculated values of mu k Are there any pairs of them which, according to theory, you expect to have identical values? If so, specify which values should be identical and explain how you arrived at this conclusion. Suggest sources of error that may have caused your results to depart from theoretical expectations.

Explanation / Answer

1(2) Fx = MAx-(meu)N

1(3) Fy = Mg-N

2(2) T-Mg-Kx = 0

3(1) T - Mg - (meu)T - Kx = 0

3(2) (meu = Kx - T +Mg)/T

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