6) A man with a mass of 80 kg runs with a velocity of 3 m/s along a line tangent to a circular platform (m = 160 kg, radius r= 5 m). The platform is initially at rest and it has a moment of inertia equal to 0.5mr2. a) Given that there is a conservation of angular momentum, calculate the angular velocity of the platform once the runner has jumped on. b) Then, he walks in the direction of the centre of the circular platform; determine the new angular velocity when he reaches the centre.

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6) A man with a mass of 80 kg runs with a velocity of 3 m/s along a line tangent to a circular platform (m = 160 kg, radius r= 5 m). The platform is initially at rest and it has a moment of inertia equal to 0.5mr2.

a) Given that there is a conservation of angular momentum, calculate the angular velocity of the platform once the runner has jumped on.

b) Then, he walks in the direction of the centre of the circular platform; determine the new angular velocity when he reaches the centre.

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