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 € 4₁ 1 of 3 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) Στ=0 == Submit 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 VG| ΑΣΦ Where should Marcel position Jacques to balance the seesaw? Express your answer in terms of L2, L3, W, and w. ► View Available Hint(s) L= Submit [ΨΕΙ ΑΣΦ 4 ?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Topic Video
Question

I am really stuck on this problem!

**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]

---

**Part C**

Determine \( \sum \tau \), 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 \( L_1 \).

\[ \sum \tau = 0 = \]

- **[Submit]**

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 \( L_2 \) from the pivot and Jean at distance \( L_3 \). [Figure 2]

---

**Part D**

Where should Marcel position Jacques to balance the seesaw?

Express your answer in terms of \( L_2, L_3, W, \) and \( w \).

\[ L = \]

- **[Submit]**

---

**Figure Explanation:**

The figure shows a seesaw with two children on either side. The seesaw is balanced on a central pivot. The child on the left sits at a distance \( L \) from the pivot, while the child on the right sits at a distance \( L_1 \). The image is a simple diagram demonstrating the concept of balancing forces and torque on a seesaw.
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] --- **Part C** Determine \( \sum \tau \), 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 \( L_1 \). \[ \sum \tau = 0 = \] - **[Submit]** 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 \( L_2 \) from the pivot and Jean at distance \( L_3 \). [Figure 2] --- **Part D** Where should Marcel position Jacques to balance the seesaw? Express your answer in terms of \( L_2, L_3, W, \) and \( w \). \[ L = \] - **[Submit]** --- **Figure Explanation:** The figure shows a seesaw with two children on either side. The seesaw is balanced on a central pivot. The child on the left sits at a distance \( L \) from the pivot, while the child on the right sits at a distance \( L_1 \). The image is a simple diagram demonstrating the concept of balancing forces and torque on a seesaw.
**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 Explanation:**
The figure shows a seesaw with two children on either end. The left child is sitting a distance \( L \) from the pivot, while the right child is sitting a distance \( L_1 \) from the pivot. The first child is heavier, causing the seesaw to tilt in that direction. The diagram illustrates the pivot point and the moment arms, with positive torque indicated for counterclockwise rotation.

---

**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 \( L_1 \) 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 \( w \).

\[ L_1 = \]
[Box to submit answer]

*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 \( \tau \) about the pivot due to the weight \( w \) of Gilles on the seesaw.

Express your answer in terms of \( L_1 \) and \( w \).

\[ \tau = \]
[Box to submit answer]
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 Explanation:** The figure shows a seesaw with two children on either end. The left child is sitting a distance \( L \) from the pivot, while the right child is sitting a distance \( L_1 \) from the pivot. The first child is heavier, causing the seesaw to tilt in that direction. The diagram illustrates the pivot point and the moment arms, with positive torque indicated for counterclockwise rotation. --- **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 \( L_1 \) 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 \( w \). \[ L_1 = \] [Box to submit answer] *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 \( \tau \) about the pivot due to the weight \( w \) of Gilles on the seesaw. Express your answer in terms of \( L_1 \) and \( w \). \[ \tau = \] [Box to submit answer]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
First law of motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON