Rotational Motion Exercise You are given two similar problems. In each case, a r

Question

Rotational Motion Exercise

You are given two similar problems.  In each case, a rope is wrapped around a pulley that is free to rotate about an axis through its center.  In case  (a), you pull the rope down with a constant force F = 10 N.  In case (b), you hang a block which has a weight W = mg = 10 N on the end of the rope.

                                    R = 0.2 m

                                    I = 0.1 kg-m2

F = 10 N                                                                      W = 10 N

            (a)                                                                    (b)

1.  Is the tension in the rope in case (a) greater than, equal to, or less than 10 N?

2.  Is the tension in the rope in case (b) greater than, equal to, or less than 10 N?

3.  In which case will the angular acceleration of the pulley be greater, or are the two cases the same?  Explain!!!

4.  Draw freebody diagrams for each case.

5.  Calculate the angular acceleration of the pulley in each case.

Explanation / Answer

1) equal

2)equal

3)two cases are same

4)angular accelaration = Torque/I =10/0.1 =100

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