Mathematics
The locus of the tip of the pendulum of a clock is:
a circle
a chord of a circle
an arc of a circle
a diameter of a circle
Locus
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Answer
Let the fixed pivot be O and the constant length be "r"
A pendulum swings back and forth from a fixed pivot. Its length remains constant, so its tip moves along a portion of a circle, not the full circle.
Therefore, the path traced is an arc of a circle.
Hence, option 3 is the correct option.
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Related Questions
The locus of a point which is equidistant from a given circle consists of:
a pair of circles concentric with the given circle.
a circle concentric with the given circle and inside it.
a circle concentric with the given circle and outside it.
a pair of lines parallel to each other on either side of the centre.
A and B are two fixed points in a plane. Then, the locus of a point P which moves in such a way that PA2 + PB2 = AB2, is:
a square with AB as one of its sides.
a rectangle with AB as one of its sides.
a rhombus with AB as one of its diagonal.
the circumference of a circle with AB as its diameter.
Assertion (A): In the figure, D is the mid-point of BC and AD ⟂ BC. If E lies on AD, then BE = CE.
Reason (R): Every point on the perpendicular bisector of a line segment is equidistant from its end points.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
Assertion (A): In the figure, ∠ABD = ∠CBD, so DE = DF.
Reason (R): Every point on the angle bisector of two intersecting lines is equidistant from the lines.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
