Crank AB rotates with a constant angular velocity of 5 rad/s. (Figure 1) Figure 5 rad/s 600 mm 0 B 300 mm SKUPN < 1 of 1 150 mm Determine the velocity of block C at the instant = 23°. Assume the direction to the right as positive. Express your answer with the appropriate units. vc= Submit Part B WBC = μA Submit Value Request Answer Determine the angular velocity of link BC at the instant 0 = 23°. Assume the counterclockwise rotation as positive Express your answer with the appropriate units. μÀ Value Units Request Answer ? Units ?

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### Crank AB Rotation Analysis

Crank \( AB \) rotates with a constant angular velocity of \( 5 \, \text{rad/s} \). Refer to Figure 1 below. 

![Figure 1](link_to_image) 

#### Problem Statement

1. **Determine the velocity of block \( C \) at the instant \( \theta = 23^\circ \)**.
    - Assume the direction to the right as positive.
    - Express your answer with the appropriate units.
    
    \[
    v_C = \boxed{\text{Value}} \, \boxed{\text{Units}}
    \]
    
    (Submit)(Request Answer)

2. **Determine the angular velocity of link \( BC \) at the instant \( \theta = 23^\circ \)**.
    - Assume the counterclockwise rotation as positive.
    - Express your answer with the appropriate units.
    
    \[
    \omega_{BC} = \boxed{\text{Value}} \, \boxed{\text{Units}}
    \]
    
    (Submit)(Request Answer)

#### Figure Explanation

The diagram shows a mechanism consisting of crank \( AB \), which is rotating with a constant angular velocity of \( 5 \, \text{rad/s} \). The lengths mentioned in the diagram are:
- \( AB = 600 \, \text{mm} \)
- \( BC = 300 \, \text{mm} \)
- \( C \) is displaced \( 150 \, \text{mm} \) vertically from the pivot point.

**Details from the figure:**
- \( A \) is the pivot point of the crank.
- \( B \) is the point connecting the crank and the link \( BC \).
- \( C \) is the end of the link \( BC \) that can slide horizontally.
- \( \theta \) is the angle between the crank and the horizontal, given as \( 23^\circ \).

The objective is to determine the linear velocity of block \( C \) and the angular velocity of link \( BC \) given the specified conditions.

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This example guides through solving link and crank mechanism problems using angular velocity relationships and trigonometric calculations to find velocities and angular speeds relevant to the given configurations.
Transcribed Image Text:### Crank AB Rotation Analysis Crank \( AB \) rotates with a constant angular velocity of \( 5 \, \text{rad/s} \). Refer to Figure 1 below. ![Figure 1](link_to_image) #### Problem Statement 1. **Determine the velocity of block \( C \) at the instant \( \theta = 23^\circ \)**. - Assume the direction to the right as positive. - Express your answer with the appropriate units. \[ v_C = \boxed{\text{Value}} \, \boxed{\text{Units}} \] (Submit)(Request Answer) 2. **Determine the angular velocity of link \( BC \) at the instant \( \theta = 23^\circ \)**. - Assume the counterclockwise rotation as positive. - Express your answer with the appropriate units. \[ \omega_{BC} = \boxed{\text{Value}} \, \boxed{\text{Units}} \] (Submit)(Request Answer) #### Figure Explanation The diagram shows a mechanism consisting of crank \( AB \), which is rotating with a constant angular velocity of \( 5 \, \text{rad/s} \). The lengths mentioned in the diagram are: - \( AB = 600 \, \text{mm} \) - \( BC = 300 \, \text{mm} \) - \( C \) is displaced \( 150 \, \text{mm} \) vertically from the pivot point. **Details from the figure:** - \( A \) is the pivot point of the crank. - \( B \) is the point connecting the crank and the link \( BC \). - \( C \) is the end of the link \( BC \) that can slide horizontally. - \( \theta \) is the angle between the crank and the horizontal, given as \( 23^\circ \). The objective is to determine the linear velocity of block \( C \) and the angular velocity of link \( BC \) given the specified conditions. --- This example guides through solving link and crank mechanism problems using angular velocity relationships and trigonometric calculations to find velocities and angular speeds relevant to the given configurations.
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