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# circuile motion and work-enegy theorem

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A couple of circular motion problems... I realize that this is something I could have figured out if I had more time, but I am running out of it..please help.

1. A circular disk of radius 30 cm is rotating with an angular acceleration of 1 radian/ s2. What is the tangential acceleration of a point on the rim of the disk? What is its centripetal acceleration if the angular speed is 3 rev / s?

2. A 980 Kg car traveling at 20 m/s rounds a curve of radius 40 m. What is the friction force that must act on the car to keep it in its circular path?

3. An object with a mass of 100 Kg is dragged up an incline by applying a force F. The total distance moved along the incline is 200 m and the vertical height gained in moving this distance is 20 m. What is the magnitude of the force F if friction is negligible? (Assume g = 10 m/s2)

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Please see the attached file for detailed solution.

2. The friction here is the centripetal ...

#### Solution Summary

The first part of the solution is related to the circular motion, such as the angular acceleration, tangential acceleration, centripetal acceleration and centripetal force. The second part of the solution is the application of work-energy theorem to find the dragging force.

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