a round disk,whose rotational inertia is 0.07 kgm 2 , is spinningaround an axis

Question

a round disk,whose rotational inertia is 0.07 kgm2, is spinningaround an axis passing through its center of mass at a constantangular speed of 3 s-1. somebody happened to drop a bilbof gum onto the disk. the gum has a mass of 50 g and fall at adistance of 50 cm away from the rotation axis. assume all frictionsare negligable.
what would be the angular sped of the disk after the gum is stuckto the disk? is this angular speed a constant? a round disk,whose rotational inertia is 0.07 kgm2, is spinningaround an axis passing through its center of mass at a constantangular speed of 3 s-1. somebody happened to drop a bilbof gum onto the disk. the gum has a mass of 50 g and fall at adistance of 50 cm away from the rotation axis. assume all frictionsare negligable.
what would be the angular sped of the disk after the gum is stuckto the disk? is this angular speed a constant?

Explanation / Answer

When the gum of mass m has fallen its new moment of inertiaas, I=0.07+0.05*0.52=0.0825kgm2 Applying law of conservation of momentum we have as, I11=I22 0.07*3=0.0825* =2.54rad/s Hence we get by it. Applying law of conservation of momentum we have as, I11=I22 0.07*3=0.0825* =2.54rad/s Hence we get by it.

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