Physics System of Particles Rotational Motion JEE (MAIN) / AIEEE Problems Previous Years MCQ (Single Correct)

A bob of mass m attached to an inextensible string of length l is suspended from a vertical support. The bob rotates in a horizontal circle with a angular speed ω rad/s about the vertical. About the point of suspension :

A
angular momentum is conserved.
B
angular momentum changes in magnitude but not in direction
C
angular momentum changes in direction but not in magnitude.
D
angular momentum changes both in direction and magnitude.

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The correct answer is:
C

Angular momentum of the pendulum about the suspension point 'O' is

Then can be resolved into two components, radial component r rad , and axial component r axial . Due to r rad , L will be axial and due to r axial , L will be radially outwards as shown.

So net angular momentum will be as shown in figure whoose value will be constant (|L| = mv λ ). But its direction will change as shown in the figure.

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