In Review | Constants Marcel is helping his two children, Jacques and Gilles, to balance on a seesaw so that they will be able to
In Review | Constants Marcel is helping his two children, Jacques and Gilles, to balance on a seesaw so that they will be able to make it tilt back and forth without the heavier child, Jacques, simply sinking to the ground. Given that Jacques, whose weight is W, is sitting at distance _ to the left of the pivot, at what distance , should Marcel place Gilles, whose weight is w, to the right of the pivot to balance the seesaw? Learning Goal: Express your answer in terms of L, W, and w. To make the connection between intuitive understanding of a seesaw and the standard formalism for View Available Hint(s) torque. This problem deals with the concept of torque, the "twist"that an off-center force applies to a body that tends to make it rotate. (Figure 1) IVO L1 Submit Now consider this problem as a more formal introduction to torque. The torque of each child about the pivot point is the product of the child's weight and the distance from the pivot to the child's center of mass (center of gravity.) The sign of the torque is taken to be positive by convention if it would cause a counterclockwise rotation of the seesaw. The distance is measured perpendicular to the line of force and is called the moment arm. Part B Find the torque + about the pivot due to the weight w of Gilles on the seesaw. Express your answer in terms of Li and w. Figure Submit Request Answer Marcel wants the seesaw to balance, which means that there can be no angular acceleration about the pivot. For the angular acceleration to be zero, the sum of the torques about the pivot must equal zero: LT= 0. Part C Determine _ T, the sum of the torques on the seesaw. Consider only the torques exerted by the children. Express your answer in terms of W, w, L, and L1
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