A lunch tray is being held in one hand, as the figure illustrates. The mass of the tray itself is 0.172 kg, and its center of gravity is located at its geometrical center. On the tray is a 1.27-kg plate of food and a 0.244-kg cup of coffee. Obtain (a) the force exerted by the thumb and (b) the force exerted by the four fingers. Both forces act perpendicular to the tray, which is being held parallel to the ground. The image illustrates a hand holding a tray, with various measurements annotated. The tray carries a plate of food and a cup.**Measurements and Diagram Explanation:**- **Horizontal Distances:** - The total length from the hand to the end of the tray is labeled as 0.400 meters. - From the hand to the plate of food, the distance is 0.240 meters. - From the hand to the cup, the distance is 0.380 meters.- **Vertical Distances:** - The vertical distance from the center of the tray to the point labeled with an upward force \( \vec{F} \) is 0.100 meters. - Directly underneath, there is a measurement of 0.060 meters marked for the downward force \( \vec{T} \).- **Forces:** - An upward force \( \vec{F} \) and a downward force \( \vec{T} \) are depicted, likely representing forces acting on the tray (e.g., gravitational force and supporting force).This diagram is an example that could be used to discuss concepts in physics such as torque, balance, force, and equilibrium. The distances are crucial for calculating moments around the pivot point where the tray is being held.

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Answered: A lunch tray is being held in one hand,…

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)...

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A lunch tray is being held in one hand, as the figure illustrates. The mass of the tray itself is 0.172 kg, and its center of gravity is located at its geometrical center. On the tray is a 1.27-kg plate of food and a 0.244-kg cup of coffee. Obtain (a) the force exerted by the thumb and (b) the force exerted by the four fingers. Both forces act perpendicular to the tray, which is being held parallel to the ground.

The image illustrates a hand holding a tray, with various measurements annotated. The tray carries a plate of food and a cup.

**Measurements and Diagram Explanation:**

- **Horizontal Distances:**
- The total length from the hand to the end of the tray is labeled as 0.400 meters.
- From the hand to the plate of food, the distance is 0.240 meters.
- From the hand to the cup, the distance is 0.380 meters.

- **Vertical Distances:**
- The vertical distance from the center of the tray to the point labeled with an upward force \( \vec{F} \) is 0.100 meters.
- Directly underneath, there is a measurement of 0.060 meters marked for the downward force \( \vec{T} \).

- **Forces:**
- An upward force \( \vec{F} \) and a downward force \( \vec{T} \) are depicted, likely representing forces acting on the tray (e.g., gravitational force and supporting force).

This diagram is an example that could be used to discuss concepts in physics such as torque, balance, force, and equilibrium. The distances are crucial for calculating moments around the pivot point where the tray is being held.

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