At the instant θ=60∘, the construction lift is rotating about the z axis with an angular velocity of ω1 = 0.55 rad/s and an angular acceleration of ω˙1 = 0.21 rad/s2 while the telescopic boom AB rotates about the pin at A with an angular velocity of ω2 = 0.21 rad/s and angular acceleration of ω˙2 = 6.0×10−2 rad/s2 . Simultaneously, the boom is extending with a velocity of 1.5 ft / s, and it has an acceleration of 0.5 ft / s2, both measured relative to the frame. Determine the velocity of point B located at the end of the boom at this instant. Enter the x, y, and z components of the velocity separated by commas. Determine the acceleration of point B located at the end of the boom at this instant. Enter the x, y, and z components of the acceleration separated by commas. The image illustrates a mechanical boom lift diagram labeled with axes and dimensions. 1. **Axes and Rotation**: - The diagram is oriented with three axes: x, y, and z. - The base of the boom lift is positioned at point C. - There are two rotational motions indicated: - \( \omega_1 \) about the z-axis (vertical rotation). - \( \omega_2 \) about the x-axis (horizontal rotation).2. **Pivot Points and Angles**: - Point O represents the pivot point on the base where the boom arm can rotate vertically. - Angle \( \theta \) represents the tilt or elevation angle of the boom arm.3. **Dimensions**: - The horizontal distance from point O to the end of the boom at point B is given as 15 ft. - The horizontal distance from point O to point C (the base) is 2 ft.4. **Boom and Platform**: - The boom arm extends from point A, at the base, upward to point B, where there is a platform or basket. - The elevation is indicated by the angle \( \theta \) with the vertical axis.This diagram is used to understand the mechanical principles of rotation and elevation within structural systems, particularly focusing on boom lifts used in construction and maintenance tasks.

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Answered: At the instant θ=60∘, the construction…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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At the instant θ=60∘, the construction lift is rotating about the z axis with an angular velocity of ω1 = 0.55 rad/s and an angular acceleration of ω˙1 = 0.21 rad/s2 while the telescopic boom AB rotates about the pin at A with an angular velocity of ω2 = 0.21 rad/s and angular acceleration of ω˙2 = 6.0×10−2 rad/s2 . Simultaneously, the boom is extending with a velocity of 1.5 ft / s, and it has an acceleration of 0.5 ft / s2, both measured relative to the frame.

Determine the velocity of point B located at the end of the boom at this instant. Enter the x, y, and z components of the velocity separated by commas.

Determine the acceleration of point B located at the end of the boom at this instant. Enter the x, y, and z components of the acceleration separated by commas.

The image illustrates a mechanical boom lift diagram labeled with axes and dimensions.

1. **Axes and Rotation**:
- The diagram is oriented with three axes: x, y, and z.
- The base of the boom lift is positioned at point C.
- There are two rotational motions indicated:
- \( \omega_1 \) about the z-axis (vertical rotation).
- \( \omega_2 \) about the x-axis (horizontal rotation).

2. **Pivot Points and Angles**:
- Point O represents the pivot point on the base where the boom arm can rotate vertically.
- Angle \( \theta \) represents the tilt or elevation angle of the boom arm.

3. **Dimensions**:
- The horizontal distance from point O to the end of the boom at point B is given as 15 ft.
- The horizontal distance from point O to point C (the base) is 2 ft.

4. **Boom and Platform**:
- The boom arm extends from point A, at the base, upward to point B, where there is a platform or basket.
- The elevation is indicated by the angle \( \theta \) with the vertical axis.

This diagram is used to understand the mechanical principles of rotation and elevation within structural systems, particularly focusing on boom lifts used in construction and maintenance tasks.

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