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. Hints: You know how to convert the linear tangential velocity into an angular velocity. Angular velocity, distance and mass give you an angular momentum, for the man. Now part (a) is just an angular collision problem.
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. Hints: You know how to convert the linear tangential velocity into an angular velocity. Angular velocity, distance and mass give you an angular momentum, for the man. Now part (a) is just an angular collision problem.
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. Hints: You know how to convert the linear tangential velocity into an angular velocity. Angular velocity, distance and mass give you an angular momentum, for the man. Now part (a) is just an angular collision problem.
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. Hints: You know how to convert the linear tangential velocity into an angular velocity. Angular velocity, distance and mass give you an angular momentum, for the man. Now part (a) is just an angular collision problem.
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
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