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Derivation of Position-Velocity Relation by Graphical Method

A bob of mass...

Question

A bob of mass 100 g tied a string of length 60 cm, moves in a circular path in the vertical plane consider the horizontal along X-axis and the vertical along Y-axis with the point of suspension at the origin. At t = 0,the velocity of the particle is $(3 i + 3 \sqrt{3 j})$ m/s $(g = 10 m / s^{2})$

A

The minimum speed of the bob is

3 \sqrt{2} m / s

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B

The maximum tension in the string is 9 N

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C

The acceleration of the bob when the string is horizontal is

10 \sqrt{26} m / s^{2}

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D

The initial tension in the string is 6.5 N

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Solution

The correct options are
A The minimum speed of the bob is $3 \sqrt{2} m / s$
C The acceleration of the bob when the string is horizontal is $10 \sqrt{26} m / s^{2}$
D The initial tension in the string is 6.5 N

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Derivation of Position-Velocity Relation by Graphical Method

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