2 Problem The mechanized arm shown below is simulatenously rotating upward and extending as it holds a circular widget of mass 2 kg in its claw. At the instant shown, 0 = 45 deg., 0 = 30 deg/s. Ö = 120 deg/s², and L= 0.4m, L = 0.5 m/s, and L = -0.3 m/s². The constant length d = 1 m. Determine the components of the gripper's force exerted on the widget. Express the total force in components of the polar frame. Compare your answer with the total force on the widget if the mechanized arm suddenly stops and remains at rest. 0 L B

2 Problem The mechanized arm shown below is simulatenously rotating upward and extending as it holds a circular widget of mass 2 kg in its claw. At the instant shown, 0 = 45 deg., 0 = 30 deg/s. Ö = 120 deg/s², and L= 0.4m, L = 0.5 m/s, and L = -0.3 m/s². The constant length d = 1 m. Determine the components of the gripper's force exerted on the widget. Express the total force in components of the polar frame. Compare your answer with the total force on the widget if the mechanized arm suddenly stops and remains at rest. 0 L B

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

The mechanized arm shown below is simultaneously rotating upward and extending as it holds a circular widget of mass 2 kg in its claw. At the instant shown, \(\theta = 45 \, \text{deg}\), \(\dot{\theta} = 30 \, \text{deg/s}\), \(\ddot{\theta} = 120 \, \text{deg/s}^2\), and \(L = 0.4\, \text{m}\), \(\dot{L} = 0.5\, \text{m/s}\), and \(\ddot{L} = -0.3 \, \text{m/s}^2\). The constant length \(d = 1 \, \text{m}\). Determine the components of the gripper’s force exerted on the widget. Express the total force in components of the polar frame. Compare your answer with the total force on the widget if the mechanized arm suddenly stops and remains at rest.

### Diagram Explanation

The diagram illustrates a mechanized arm fixed at a point \(O\) and extended in the direction \(L\) with a linear distance \(d\) from \(O\) to the claw holding the widget. Angle \(\theta\) denotes the angle of rotation from the horizontal. Point \(B\) marks the endpoint where the widget is grasped. The arm has components indicating directions and the variable distances mentioned.

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