3) A car wheel is rotating with an angular velocity of 3 rad/s about a vertical axis through its center on frictionless axis. This wheel has the moment of inertia of 1.0 kg m2 and it has a radius of 0.480 m. While the wheel rotates at an instant a 50-gr rock which is projected horizontally toward the wheel axis (the rock lands on the axis of the rotation) with a velocity of 6.0 m/s collides the wheel and sticks to the edge of the wheel Find the angular velocity of the wheel just after the rock sticks.

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Chapter7: Rotational Motion And Gravitation
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Please use rotational kinematics concepts to solve the problem.

3) A car wheel is rotating with an angular velocity of 3 rad/s about a vertical axis through its center on frictionless axis.
This wheel has the moment of inertia of 1.0 kg m2 and it has a radius of 0.480 m. While the wheel rotates at an
instant a 50-gr rock which is projected horizontally toward the wheel axis (the rock lands on the axis of the rotation)
with a velocity of 6.0 m/s collides the wheel and sticks to the edge of the wheel Find the angular velocity of the wheel
just after the rock sticks.
Transcribed Image Text:3) A car wheel is rotating with an angular velocity of 3 rad/s about a vertical axis through its center on frictionless axis. This wheel has the moment of inertia of 1.0 kg m2 and it has a radius of 0.480 m. While the wheel rotates at an instant a 50-gr rock which is projected horizontally toward the wheel axis (the rock lands on the axis of the rotation) with a velocity of 6.0 m/s collides the wheel and sticks to the edge of the wheel Find the angular velocity of the wheel just after the rock sticks.
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