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Quiz 3 (1) A uniform slender rod of length L and mass m is released from rest in the position
shown, making an angle 6 with a horizontal frictionless surface. Find a formula for the
angular acceleration OA of the rod, by performing the following steps. ( ) 7 points) Draw a complete free-body diagram equation for the rod. a (
(b) (6 points) Using your diagram equation, write three equations of mption for the rod.
(The centroidal mass moment of inertia of a uniform slender rod is I : mL2 / 12.) (c) (3 points) Solve for a. You will need to supplement the equations of motion with the
kinematic relationship between a and 61,, (the y component of the acceleration of the mass center), which is L
@2045 cos6 (with appropriate plus/ minus sign). Problem (1) —Ii
Ii CC) 34”” (3) 9r c><~'> ( «2 “LW'EQ” MLZCQ'BQ’SXa) \ ’ C669 ~ g
V m) 3 ...
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This document was uploaded on 02/05/2011.
- Spring '11