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According to Kennedy's theorem, the instantaneous centers of three bodies having relative motion lie on a
- a)curved path
- b)straight line
- c)point
- d)approximate straight line
Correct answer is option 'B'. Can you explain this answer?
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According to Kennedy's theorem, the instantaneous centers of three...
If three plane bodies have relative motion among themselves, their I-center must lie on a straight line, this is known as Kennedy’s theorem.
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According to Kennedy's theorem, the instantaneous centers of three...
Kennedy's Theorem:
Kennedy's theorem states that the instantaneous centers of three bodies having relative motion lie on a straight line.
Explanation:
When three bodies have a relative motion, they have a velocity and acceleration with respect to each other. The motion of one body with respect to another can be determined by finding the instantaneous center of rotation of the two bodies.
The instantaneous center of rotation is the point on the line of intersection of the perpendicular bisectors of the motion paths of two points on the moving bodies. When three bodies are in motion, there are three pairs of bodies and three instantaneous centers of rotation.
According to Kennedy's theorem, the three instantaneous centers of rotation lie on a straight line. This line is called the Kennedy's line.
This theorem is very useful in the analysis of mechanisms and machines. It helps in finding the motion of different parts of a machine and also helps in designing machines with desired movements.
Conclusion:
Therefore, the correct answer to this question is option B, which states that the instantaneous centers of three bodies having relative motion lie on a straight line, according to Kennedy's theorem.
Kennedy's theorem states that the instantaneous centers of three bodies having relative motion lie on a straight line.
Explanation:
When three bodies have a relative motion, they have a velocity and acceleration with respect to each other. The motion of one body with respect to another can be determined by finding the instantaneous center of rotation of the two bodies.
The instantaneous center of rotation is the point on the line of intersection of the perpendicular bisectors of the motion paths of two points on the moving bodies. When three bodies are in motion, there are three pairs of bodies and three instantaneous centers of rotation.
According to Kennedy's theorem, the three instantaneous centers of rotation lie on a straight line. This line is called the Kennedy's line.
This theorem is very useful in the analysis of mechanisms and machines. It helps in finding the motion of different parts of a machine and also helps in designing machines with desired movements.
Conclusion:
Therefore, the correct answer to this question is option B, which states that the instantaneous centers of three bodies having relative motion lie on a straight line, according to Kennedy's theorem.
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According to Kennedy's theorem, the instantaneous centers of three bodies having relative motion lie on aa)curved pathb)straight linec)pointd)approximate straight lineCorrect answer is option 'B'. Can you explain this answer?
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