### Problem StatementThe disk has a constant angular velocity of 20 rad/s clockwise. Note that the point A is hinged at a fixed location.#### Given- Angular velocity of disk, \( \omega_A = 20 \, \text{rad/s} \)### Diagram DescriptionThe diagram shows:- A circular disk with center A, rotating clockwise.- Point A is fixed.- A bar extending from point A to a collar at point D, with a length of 250 mm.- The collar is free to move along a vertical line.- The horizontal line intersects the circle at a point that’s 70 mm from the top of the disk.- \( x \) and \( y \) axes are shown for reference.### Tasks**(a)** Determine the two values of the angle \( \theta \) for which the velocity of collar D is zero.**(b)** For each of these values of \( \theta \), determine the corresponding value of the angular velocity of bar BD.### Given Equations\[ \omega_A = \frac{d\theta_A}{dt} \]\[ \int_{\theta_{A_0}}^{\theta} d\theta_A = \int_{t_0}^{t} \omega_A \, dt \]### Solution Approach- Find conditions where the velocity of point D is zero.- Calculate angular velocities for bar BD based on those conditions.This explanation and the figure are intended to aid in solving problems related to rotational motion and the interrelationship between fixed and moving parts in a mechanical system.

Given: The angular speed of the disc, w = 20 rad/s The radius of disc, AB= 70 mm = 0.07 m The length…

The disk has a constant angular velocity of 20 rad/s Clockwise. Note that the point A is hinged at a Axed location. + y A Idea WA = 40A dt 20 rad/s D £ 70mm A a) Determine the two values of the angle & for which the velocity of collar D is zero. WA dz fo b) For each of these values of 0, determine the Corresponding value of the angular velocity of bar BD. 250mm WA= 20 rad/s

The disk has a constant angular velocity of 20 rad/s Clockwise. Note that the point A is hinged at a Axed location. + y A Idea WA = 40A dt 20 rad/s D £ 70mm A a) Determine the two values of the angle & for which the velocity of collar D is zero. WA dz fo b) For each of these values of 0, determine the Corresponding value of the angular velocity of bar BD. 250mm WA= 20 rad/s

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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Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

### Problem Statement

The disk has a constant angular velocity of 20 rad/s clockwise. Note that the point A is hinged at a fixed location.

#### Given
- Angular velocity of disk, \( \omega_A = 20 \, \text{rad/s} \)

### Diagram Description

The diagram shows:
- A circular disk with center A, rotating clockwise.
- Point A is fixed.
- A bar extending from point A to a collar at point D, with a length of 250 mm.
- The collar is free to move along a vertical line.
- The horizontal line intersects the circle at a point that’s 70 mm from the top of the disk.
- \( x \) and \( y \) axes are shown for reference.

### Tasks

**(a)** Determine the two values of the angle \( \theta \) for which the velocity of collar D is zero.

**(b)** For each of these values of \( \theta \), determine the corresponding value of the angular velocity of bar BD.

### Given Equations

\[ \omega_A = \frac{d\theta_A}{dt} \]

\[ \int_{\theta_{A_0}}^{\theta} d\theta_A = \int_{t_0}^{t} \omega_A \, dt \]

### Solution Approach

- Find conditions where the velocity of point D is zero.
- Calculate angular velocities for bar BD based on those conditions.

This explanation and the figure are intended to aid in solving problems related to rotational motion and the interrelationship between fixed and moving parts in a mechanical system.

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