exam3 - UD Phys207W09 Exam III Name N,Sure h-ec J You must...

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L L UD Phys207W09 Exam III Name N,Sure/— h-ec J You must show all of your work for credit. Include units with your numerical answers. 1. [10] A beam of mass m and length L is suspended by a pivot and a wire which makes an angle 0 with the beam, and is attached to a wall as shown. This beam has a box of mass M placed on it a distance x from the end of the beam. The pivot and wire are connected to the wall at points a distance h apart. Find an expression for the tension T in the wire as a function of the variables given by summing the torques about the pivot point. Now calculate a numerical value for the tension in the wire so that a wire with the appropriate tensile strength may be chosen to support the beam and its load; M=1000kg, m=10kg, L=10m, h=20m,x=2m. -=- 01.(1,c-k- - (L-x)fri c) LTd 0 fx11 - F r= -- a I ----- "AL LS;11&-

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ca - a i z - r —azdr,vot. ce14-ithi" is 2. [30] A child of mass me is at the center of a merry-go-round of mass M and moment of inertia about its center of mass of Icm = (1/2)MR 2 that is rotating with an angular velocity of wo. Write down Newton's second law in rotational form (the one with a first order derivative), what is the condition for angular momentum to be conserved in an isolated system? Write down the definition of the angular momentum of a point particle. Write down an expression for the angular momentum along the axis of rotation of a rigid body that is rotating about a fixed axis.
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