angular impulse in pure rotation and rotational collision questions with solutions

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• ParagraphdifficultRotational Motionangular impulse in pure rotation and rotational collision

  A uniform circular disk of radius 0.2 m and mass 1 kg is pivoted at its top point C such that it can rotate freely around C in the XY plane, as shown in the figure. Initially, when the disk is at rest, a particle of mass 20 g, travelling along negative x direction in the XY plane with speed 100 m s⁻¹, hits the circumference of the disk at a point P. After collision the particle moves along negative y direction at a speed of 90 m s⁻¹. [Given: acceleration due to gravity g = -10ĵ m s⁻².]

  

  Sub-question 1

  After the collision the disk starts to rotate around point C in the XY plane. The maximum change in the height (in m) of its center O is:

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  Sub-question 2

  Amount of energy loss (in J) in the collision is:

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  JEE Advanced2026Paper 2

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