Two kids are playing on a board as depicted in the image below. Assume that the

Question

Two kids are playing on a board as depicted in the image below. Assume that the board is 8.0 meters long and has a mass of 10.0 kg. The blue "x" on the board marks the position of its center of mass which lies at the middle of the uniform board. The little girl is suspended 2.0 m from the center of mass of the board, while the center of mass of the board is 0.25 meters from the edge of the ground etc. (assume that the forces associated with the various masses act at the positions dictated by the measurement arrows). The little boy starts tossing apples to the little girl on the swing, where she keeps them in a bag. If each apple has a mass of 0.50 kg, how many apples can he throw her before the board tilts and they tumble down the hill?

Explanation / Answer

developing the sum of moments from the left hand side of the board,

( 20 + 0.5 n) (2) = 10 ( 4) + 20 (4.25)

20+ 0.5 n = 20 + 42.5

n = 85 apples

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