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In the given figure if P is the midpoint of the line connecting 1 and 2, what is the locus of P?

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in Machine Kinematics by (38.0k points)
In the given figure if P is the midpoint of the line connecting 1 and 2, what is the locus of P?

(a) Ellipse

(b) Circle

(c) Parabola

(d) Rectangular hyperbola

This question was posed to me in semester exam.

The above asked question is from Double Slider Crank Chain & its Inversions in chapter Simple Mechanisms of Machine Kinematics

1 Answer

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by (106k points)
The correct option is (b) Circle

For explanation I would say: The given figure represents an elliptical trammel, in an elliptical trammel any point on the bar traces a path which is an ellipse, hence the locus of P is ellipse, but in this case P is the midpoint hence, the locus of P will be a circle.

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