**Problem Statement:**The robot arm is elevating and extending simultaneously. At a given instant, the following data are provided:- Angle \( \theta \) = 29°- Angular velocity \( \dot{\theta} \) = 36 deg/s- Angular acceleration \( \ddot{\theta} \) = 112 deg/s²- Length \( l \) = 0.62 m- Linear velocity \( \dot{l} \) = 0.32 m/s- Linear acceleration \( \ddot{l} \) = -0.38 m/s²Compute the radial ( \( F_r \) ) and transverse ( \( F_\theta \) ) forces that the arm must exert on the gripped part \( P \), which has a mass of \( m \) = 12.8 kg. Compare with the case of static equilibrium in the same position.Assume \( d = 0.82 \) m.**Diagram Explanation:**The provided diagram illustrates a robot arm operating in a plane. It includes the following key elements:- A fixed base from which the arm elevates.- The arm itself extending outward.- The elevation and extension are measurable by the angle \( \theta \) and length \( l \) respectively.The forces are acting on point \( P \), located at the end of the arm, which has mass \( m \). The diagram shows:- \( y \)-axis, \( x \)-axis, representing the coordinate system.- \( d \), representing the distance from the base to a pivot joint on the arm.- \( \theta \), representing the arm's elevation angle relative to the horizontal. **Answers:**The answers are organized in two categories: Dynamic and Static.**Dynamic Forces:**- Radial Force: \( F_r \) = ____ N- Transverse Force: \( F_\theta \) = ____ N**Static Forces:**- Radial Force: \( F_r \) = ____ N- Transverse Force: \( F_\theta \) = ____ N

Answered: Image /qna-images/answer/0d9901e7-b0fa-40d0-8189-c2659b3d8975.jpg

The robot arm is elevating and extending simultaneously. At a given instant, 0 = 29,0 = 36 deg/s, 0 = 112 deg/s², l = 0.62 m, i = 0.32 m/s, and Ï = -0.38 m/s². Compute the radial and transverse forces F, and Fe that the arm must exert on the gripped part P, which has a mass of m= 12.8 kg. Compare with the case of static equilibrium in the same position. Assume d = 0.82 m. 8 SE Answers: Dynamic: Fi N, Fe= i N Static: F₁ = N, Fei N

The robot arm is elevating and extending simultaneously. At a given instant, 0 = 29,0 = 36 deg/s, 0 = 112 deg/s², l = 0.62 m, i = 0.32 m/s, and Ï = -0.38 m/s². Compute the radial and transverse forces F, and Fe that the arm must exert on the gripped part P, which has a mass of m= 12.8 kg. Compare with the case of static equilibrium in the same position. Assume d = 0.82 m. 8 SE Answers: Dynamic: Fi N, Fe= i N Static: F₁ = N, Fei N

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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**Problem Statement:**

The robot arm is elevating and extending simultaneously. At a given instant, the following data are provided:
- Angle \( \theta \) = 29°
- Angular velocity \( \dot{\theta} \) = 36 deg/s
- Angular acceleration \( \ddot{\theta} \) = 112 deg/s²
- Length \( l \) = 0.62 m
- Linear velocity \( \dot{l} \) = 0.32 m/s
- Linear acceleration \( \ddot{l} \) = -0.38 m/s²

Compute the radial ( \( F_r \) ) and transverse ( \( F_\theta \) ) forces that the arm must exert on the gripped part \( P \), which has a mass of \( m \) = 12.8 kg. Compare with the case of static equilibrium in the same position.

Assume \( d = 0.82 \) m.

**Diagram Explanation:**

The provided diagram illustrates a robot arm operating in a plane. It includes the following key elements:
- A fixed base from which the arm elevates.
- The arm itself extending outward.
- The elevation and extension are measurable by the angle \( \theta \) and length \( l \) respectively.

The forces are acting on point \( P \), located at the end of the arm, which has mass \( m \). The diagram shows:
- \( y \)-axis, \( x \)-axis, representing the coordinate system.
- \( d \), representing the distance from the base to a pivot joint on the arm.
- \( \theta \), representing the arm's elevation angle relative to the horizontal.

**Answers:**

The answers are organized in two categories: Dynamic and Static.

**Dynamic Forces:**
- Radial Force: \( F_r \) = ____ N
- Transverse Force: \( F_\theta \) = ____ N

**Static Forces:**
- Radial Force: \( F_r \) = ____ N
- Transverse Force: \( F_\theta \) = ____ N

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