**Educational Content on Torque and Rotational Motion**---### Description:The problem involves an L-shaped object as depicted in the figure, which consists of three masses connected by light rods.**Diagram Details:**The figure shows an L-shaped object with the following components:- A 9.0 kg mass located at the top of the vertical rod on the y-axis, 1.0 m from the origin.- A 1.2 kg mass at the origin, from which the two rods extend along the x and y axes.- A 2.5 kg mass on the horizontal rod along the x-axis, 2.0 m from the origin.### Problem Parts:#### Part A- **Question:** What torque must be applied to give the object an angular acceleration of \(1.90 \, \text{rad/s}^2\) if it is rotated about the z-axis?- **Answer Box:** Indicate your calculated torque (\(\tau_z\)) in N·m using two significant figures.#### Part B- **Question:** If it is rotated about the y-axis, what must the torque be?- **Answer Box:** Indicate your calculated torque (\(\tau_y\)) in N·m using two significant figures.#### Part C- **Question:** If it is rotated about the x-axis (through the origin and perpendicular to the plane of the figure), what must the torque be?- **Answer Box:** Indicate your calculated torque (\(\tau_x\)) in N·m using two significant figures.### Additional Tools:- Equation editing tools and shortcuts are available for easy input of mathematical symbols.- Options to submit answers and request further explanations are provided for each part.---This content helps students understand the application of torque in rotating bodies and challenges them to calculate the required torque for given angular accelerations about different axes.

a) Around x-axis the masses 1.2 and 2.5 kg does not contribute to the moment of inertia (As their distance from the axis is zero.) We have τx=Ixα=1.2×02+2.5×02+9×12×1.9=9×1.9 = 17.1 N-m2b) Around y-axis the masses 1.2 and 9 kg does not contribute to the moment of inertia (As their distance from the axis is zero.) We have τy=Iyα=1.2×02+2.5×22+9×02×1.9=10×1.9 = 19 N-m2c) Around x-axis the masses 1.2 kg does not contribute to the moment of inertia (As their distance from the axis is zero.) The distance of mass 2.5 kg is 5 m and the distance of mass 9 kg is 1m from z-axis We have τz=Izα=1.2×02+2.5×22+9×12×1.9=19×1.9 = 36.1 N-m2

Science

Physics

The L-shaped object in the figure(Figure 1) consists of three masses connected by light rods. Figure 9.0 kg 1.0 m 1.2 kg 2.0 m 2.5 kg 1 of 1 Part A What torque must be applied to this object to give it an angular acceleration of 1.90 rad/s² if it is rotated about the z axis? Express your answer using two significant figures. Tz = Submit Part B Ty= Temp@es Symbols undo redo reset keyboard shortcuts help, If it is rotated about the y axis? Express your answer using two significant figures. Part C Submit Tz = Templates Symbols undo redo reset keyboard shortcuts help, Request Answer Submit Request Answer If it is rotated about the z axis (which is through the origin and perpendicular to the plane of the figure)? Express your answer using two significant figures. Templates Symbols undo redo reset keyboard shortcuts help, Provide Feedback N.m Request Answer N-m N.m

The L-shaped object in the figure(Figure 1) consists of three masses connected by light rods. Figure 9.0 kg 1.0 m 1.2 kg 2.0 m 2.5 kg 1 of 1 Part A What torque must be applied to this object to give it an angular acceleration of 1.90 rad/s² if it is rotated about the z axis? Express your answer using two significant figures. Tz = Submit Part B Ty= Temp@es Symbols undo redo reset keyboard shortcuts help, If it is rotated about the y axis? Express your answer using two significant figures. Part C Submit Tz = Templates Symbols undo redo reset keyboard shortcuts help, Request Answer Submit Request Answer If it is rotated about the z axis (which is through the origin and perpendicular to the plane of the figure)? Express your answer using two significant figures. Templates Symbols undo redo reset keyboard shortcuts help, Provide Feedback N.m Request Answer N-m N.m

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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**Educational Content on Torque and Rotational Motion**

---

### Description:

The problem involves an L-shaped object as depicted in the figure, which consists of three masses connected by light rods.

**Diagram Details:**

The figure shows an L-shaped object with the following components:
- A 9.0 kg mass located at the top of the vertical rod on the y-axis, 1.0 m from the origin.
- A 1.2 kg mass at the origin, from which the two rods extend along the x and y axes.
- A 2.5 kg mass on the horizontal rod along the x-axis, 2.0 m from the origin.

### Problem Parts:

#### Part A
- **Question:** What torque must be applied to give the object an angular acceleration of \(1.90 \, \text{rad/s}^2\) if it is rotated about the z-axis?
- **Answer Box:** Indicate your calculated torque (\(\tau_z\)) in N·m using two significant figures.

#### Part B
- **Question:** If it is rotated about the y-axis, what must the torque be?
- **Answer Box:** Indicate your calculated torque (\(\tau_y\)) in N·m using two significant figures.

#### Part C
- **Question:** If it is rotated about the x-axis (through the origin and perpendicular to the plane of the figure), what must the torque be?
- **Answer Box:** Indicate your calculated torque (\(\tau_x\)) in N·m using two significant figures.

### Additional Tools:
- Equation editing tools and shortcuts are available for easy input of mathematical symbols.
- Options to submit answers and request further explanations are provided for each part.

---

This content helps students understand the application of torque in rotating bodies and challenges them to calculate the required torque for given angular accelerations about different axes.

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