Question

A wooden board of length L and total mass m has a linear mass density λ = α x3. • A.) Find the constant α in terms of L and m. • B.) Find the center of mass of the board in terms of the given algebraic variables. Assume the left end of the board is placed at x = zero. • C.) If the pivot point is placed at the center of the board and a block of mass m is placed at the right end of the board, then where must a block of mass 4m be placed to balance the board? • (Sketch, reasoning, and assess

Answer 1

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