A person with a mass of 70 kg is running on the edge of a horizontal, circular platform. It is fixed by a vertical and frictionless shaft passing through the platform center. The runner's speed is 3m/s relative to the earth. The platform is to rotate in the opposite direction with an angular velocity of 0.3 rad/s relative to the earth. The radius of the platform is 3 m and the moment of inertia is 90 kg · m². Find the final angular velocity of the system when the runner is at rest relative to the platform. Take the person as a point object.
A person with a mass of 70 kg is running on the edge of a horizontal, circular platform. It is fixed by a vertical and frictionless shaft passing through the platform center. The runner's speed is 3m/s relative to the earth. The platform is to rotate in the opposite direction with an angular velocity of 0.3 rad/s relative to the earth. The radius of the platform is 3 m and the moment of inertia is 90 kg · m². Find the final angular velocity of the system when the runner is at rest relative to the platform. Take the person as a point object.
A person with a mass of 70 kg is running on the edge of a horizontal, circular platform. It is fixed by a vertical and frictionless shaft passing through the platform center. The runner's speed is 3m/s relative to the earth. The platform is to rotate in the opposite direction with an angular velocity of 0.3 rad/s relative to the earth. The radius of the platform is 3 m and the moment of inertia is 90 kg · m². Find the final angular velocity of the system when the runner is at rest relative to the platform. Take the person as a point object.
4) A person with a mass of 70 kg is running on the edge of a horizontal, circular platform. It is fixed by a vertical and frictionless shaft passing through the platform center. The runner's speed is 3m/s relative to the earth. The platform is to rotate in the opposite direction with an angular velocity of 0.3 rad/s relative to the earth. The radius of the platform is 3 m and the moment of inertia is 90 kg · m². Find the final angular velocity of the system when the runner is at rest relative to the platform. Take the person as a point object.
Transcribed Image Text:4) Kütlesi 70 kg olan bir kişi yatay, dairesel bir platformun kenarında koşuyor. Platform
merekezinden geçen dik ve sürtünmesiz bir mille sabitlenmiştir. Koşucunun sürati dünyaya
göre 3 m/s'dir. Platform ise ters yönde dünyaya göre 0.3 rad/s açısal süratiyle dönmektir.
Platformun yarıçapı 3 m ve eylemsizlik momenti 90 kg · m² dir. Koşucu platforma göre durgun
hale geldiğinde sistemin son açısal hızını bulunuz. Kişiyi noktasal bir cisim gibi alınız.
Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.
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