A disk-shaped merry go round (I=1/2 MR2 M=250 kg R=2 m) rotates initially at 0.4 rad/s. A 40 kg mass is dropped onto the merry go round and lands at a distance of 1.7 m from the axis of rotation. What is the final angular velocity of the merry go round with the added mass?

0.325 m/s

Explanation:

We are given that

Moment of inertia,

M=250 kg

R=2 m

Angular speed,

m=40 kg

Distance,r=1.7 m

We have to find the angular velocity of the merry go wound with added mass.

Using conservation of momentum

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the chart show the masses and velocities of two colliding objects that stick together after a collision.

according to the law of conservation of momentum, the momentum of the object after the collision is  

answer

1,500

kg • m/s.