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Learning Goal: To make the connection between intuitive understanding of a seesaw and the standard formalism for 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) gure → 4 <1 of 3 > more comfortable with torques. Part A Marcel is helping his two children, Jacques and Gilles, to balance on a seesaw so that they will be able 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 L to the left of the pivot, at what distance L₁ should Marcel place Gilles, whose weight is w, to the right of the pivot to balance the seesaw? Express your answer in terms of L, W, and w. View Available Hint(s) Π| ΑΣΦ L₁= LWw Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining 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 L₁ and w. T= -WL₁

Learning Goal: To make the connection between intuitive understanding of a seesaw and the standard formalism for 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) gure → 4 <1 of 3 > more comfortable with torques. Part A Marcel is helping his two children, Jacques and Gilles, to balance on a seesaw so that they will be able 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 L to the left of the pivot, at what distance L₁ should Marcel place Gilles, whose weight is w, to the right of the pivot to balance the seesaw? Express your answer in terms of L, W, and w. View Available Hint(s) Π| ΑΣΦ L₁= LWw Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining 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 L₁ and w. T= -WL₁

Glencoe Physics: Principles and Problems, Student Edition
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter9: Momentum And Its Conservation
Section: Chapter Questions
Problem 6STP
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I need help with parts A & D please!

Learning Goal: To make the connection between intuitive understanding of a seesaw and the standard formalism for 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) Figure L L₁ 1 of 3 > Use your intuition to try to answer the following question. If your intuition fails, work the rest of the problem and return here when you feel that you are more comfortable with torques. ▼ Part A 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 L to the left of the pivot, at what distance L₁ should Marcel place Gilles, whose weight is w, to the right of the pivot to balance the seesaw? Express your answer in terms of L, W, and w. ► View Available Hint(s) L₁= LWW Submit V—| ΑΣΦ Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining ▼ Part B ? 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. Find the torque T about the pivot due to the weight w of Gilles on the seesaw. Express your answer in terms of L₁ and w. T = -wL₁
Transcribed Image Text:Learning Goal: To make the connection between intuitive understanding of a seesaw and the standard formalism for 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) Figure L L₁ 1 of 3 > Use your intuition to try to answer the following question. If your intuition fails, work the rest of the problem and return here when you feel that you are more comfortable with torques. ▼ Part A 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 L to the left of the pivot, at what distance L₁ should Marcel place Gilles, whose weight is w, to the right of the pivot to balance the seesaw? Express your answer in terms of L, W, and w. ► View Available Hint(s) L₁= LWW Submit V—| ΑΣΦ Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining ▼ Part B ? 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. Find the torque T about the pivot due to the weight w of Gilles on the seesaw. Express your answer in terms of L₁ and w. T = -wL₁
Learning Goal: To make the connection between intuitive understanding of a seesaw and the standard formalism for 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) Figure L L3 < 2 of 3 Review | Constants 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: Στ = 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. ► View Available Hint(s) ΣT=0= = LW – L₁w Submit Previous Answers Correct If you did not solve for the distance L₁ required to balance the seesaw in Part A, do so now. The equation [T = 0 applies to any body that is not rotationally accelerating. Combining this equation with ΣF = 0 (which applies to any body that is not accelerating linearly) gives pair of equations that are sufficient to form the basis of statics. The art of app ing these equations to large or complicated structures constitutes a significant part of mechanical and civil engineering. Gilles has an identical twin, Jean, also of weight w. The two twins now sit on the same side of the seesaw, with Gilles at distance L2 from the pivot and Jean at distance L3. (Figure 2) Part D Where should Marcel position Jacques to balance the seesaw? < Express your answer in terms of L2, L3, W, and w. ► View Available Hint(s)
Transcribed Image Text:Learning Goal: To make the connection between intuitive understanding of a seesaw and the standard formalism for 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) Figure L L3 < 2 of 3 Review | Constants 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: Στ = 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. ► View Available Hint(s) ΣT=0= = LW – L₁w Submit Previous Answers Correct If you did not solve for the distance L₁ required to balance the seesaw in Part A, do so now. The equation [T = 0 applies to any body that is not rotationally accelerating. Combining this equation with ΣF = 0 (which applies to any body that is not accelerating linearly) gives pair of equations that are sufficient to form the basis of statics. The art of app ing these equations to large or complicated structures constitutes a significant part of mechanical and civil engineering. Gilles has an identical twin, Jean, also of weight w. The two twins now sit on the same side of the seesaw, with Gilles at distance L2 from the pivot and Jean at distance L3. (Figure 2) Part D Where should Marcel position Jacques to balance the seesaw? < Express your answer in terms of L2, L3, W, and w. ► View Available Hint(s)
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