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The bar has a non-uniform density 1(x) = 20 x where x is the distance from the left end of the bar. The bar

 

The bar has a non-uniform density 1(x) = 20 x where x is the distance from the left end of the bar. The bar has a length L and can pivot freely (without friction) in a vertical plane, about a horizontal axle that passes through the rbar at a distance L/3 from one end. The bar is initially held in a horizontal configuration (as shown) and released from rest. Using brute force Newtonian Mechanics determine the angular velocity of the bar as a function of 0 (the angle between the bar and the negative y- axis)? %3D L/3

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