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A 4-bar mechanism with all revolute pairs has link lengths lf = 20 mm, lin = 40 mm, lco = 50 mm and lout = 60 mm. The suffixes 'f, in', 'co' and 'out' denote the fixed link, the input link, the coupler and output link respectively. Which one of the following statements is true about the input and output links?
[2014]
  • a)
    Both links can execute full circular motion
  • b)
    Both links cannot execute full circular motion
  • c)
    Only the output link cannot execute full circular motion
  • d)
    Only the input link cannot execute full circular motion
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A 4-bar mechanism with all revolute pairs has link lengths lf = 20 mm,...
S + L < P + Q
20 + 60 < 40 + 50
⇒ 80 < 90
If smaller link is fixed both input and Output link execute full circular motion.
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Most Upvoted Answer
A 4-bar mechanism with all revolute pairs has link lengths lf = 20 mm,...
S + L < P + Q
20 + 60 < 40 + 50
⇒ 80 < 90
If smaller link is fixed both input and Output link execute full circular motion.
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Community Answer
A 4-bar mechanism with all revolute pairs has link lengths lf = 20 mm,...
Given:
- Link lengths: lf = 20 mm, lin = 40 mm, lco = 50 mm, and lout = 60 mm
- All links are connected by revolute pairs

To find:
Which one of the following statements is true about the input and output links?

Solution:
To determine the motion of the input and output links, we need to analyze the given 4-bar mechanism.

Step 1: Identify the Links
- Fixed link (f): This is the link that remains stationary and acts as a frame of reference.
- Input link (in): This is the link that is connected to an actuator and provides the input motion to the mechanism.
- Coupler link (co): This is the link that connects the input and output links.
- Output link (out): This is the link that delivers the desired output motion.

Step 2: Analyze the Link Connections
In a 4-bar mechanism, the links are connected by revolute pairs. This means that each link is connected to the adjacent links by a revolute joint, allowing rotational motion between them.

- The fixed link (f) is connected to the input link (in) by a revolute joint.
- The input link (in) is connected to the coupler link (co) by a revolute joint.
- The coupler link (co) is connected to the output link (out) by a revolute joint.
- The output link (out) is connected back to the fixed link (f) by a revolute joint.

Step 3: Analyze Link Lengths
Given link lengths:
- lf = 20 mm (fixed link)
- lin = 40 mm (input link)
- lco = 50 mm (coupler link)
- lout = 60 mm (output link)

Step 4: Determine the Motion of the Links
To determine the motion of the input and output links, we need to consider the relationship between their lengths.

In a 4-bar mechanism, the input and output links can execute full circular motion if the sum of the lengths of the input and output links is greater than the sum of the lengths of the fixed and coupler links, i.e., lin + lout > lf + lco.

In this case, substituting the given values, we have:
40 mm + 60 mm > 20 mm + 50 mm
100 mm > 70 mm

Since the inequality is true, we can conclude that both the input and output links can execute full circular motion.

Therefore, the correct answer is option 'A': Both links can execute full circular motion.
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A 4-bar mechanism with all revolute pairs has link lengths lf = 20 mm, lin = 40 mm, lco = 50 mm and lout = 60 mm. The suffixes f, in, co and out denote the fixed link, the input link, the coupler and output link respectively. Which one of the following statements is true about the input and output links?[2014]a)Both links can execute full circular motionb)Both links cannot execute full circular motionc)Only the output link cannot execute full circular motiond)Only the input link cannot execute full circular motionCorrect answer is option 'A'. Can you explain this answer?
Question Description
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