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 ?
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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Question
#### 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef258a66-0367-4e84-ab3e-34166dbe87ca%2F64a9fe0e-0e7c-4a6c-8124-92075b379242%2Fidpgop_processed.png&w=3840&q=75)
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.
#### 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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