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# A uniform rod AB of mass m and length ℓ is in equilibrium with the help of two identical inextensible strings as shown in the figure. Choose the correct option (s)After cutting the string (2) motion of centre of mass of the rod is circularAfter cutting the string (2) motion of centre of mass of the rod is not circularJust after cutting the string (2) the acceleration of point A along the string (1) is zero.Just after cutting the string (2) the acceleration of point A perpendicular to the string (1) is not zero.

A
After cutting the string (2) motion of centre of mass of the rod is circular
B
Just after cutting the string (2) the acceleration of point A perpendicular to the string (1) is not zero.
C
Just after cutting the string (2) the acceleration of point A along the string (1) is zero.
D
After cutting the string (2) motion of centre of mass of the rod is not circular
Solution
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#### The correct options areB After cutting the string (2) motion of centre of mass of the rod is not circularC Just after cutting the string (2) the acceleration of point A along the string (1) is zero.D Just after cutting the string (2) the acceleration of point A perpendicular to the string (1) is not zero.The point A will move in a circular motion after cutting the string2. But, relative to the point A, the center of mass will also move in a circular motion, keeping A its center. Therefore in the ground frame, the motion of the center of mass will not be circular.The instantaneous velocity of the point A will be 0 after cutting the string2. And it will vary with the acceleration a=v2instantr. Therefore, its acceleration along the string will be 0.The acceleration of the point A perpendicular to the string1 is not zero because of the unbalanced forces along the direction.

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