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In traveling to the Moon, astronauts aboard the Apollo
Chapter 2, Problem 14P(choose chapter or problem)
Problem 14P
In traveling to the Moon, astronauts aboard the Apollo spacecraft put themselves into a slow rotation to distribute the Sun’s energy evenly. At the start of their trip, they accelerated from no rotation to 1.0 revolution every minute during a 12-min time interval. The spacecraft can be thought of as a cylinder with a diameter of 8.5 m. Determine (a) the angular acceleration, and (b) the radial and tangential components of the linear acceleration of a point on the skin of the ship 5.0 min after it started this acceleration.
Questions & Answers
QUESTION:
Problem 14P
In traveling to the Moon, astronauts aboard the Apollo spacecraft put themselves into a slow rotation to distribute the Sun’s energy evenly. At the start of their trip, they accelerated from no rotation to 1.0 revolution every minute during a 12-min time interval. The spacecraft can be thought of as a cylinder with a diameter of 8.5 m. Determine (a) the angular acceleration, and (b) the radial and tangential components of the linear acceleration of a point on the skin of the ship 5.0 min after it started this acceleration.
ANSWER:
Solution: We need to find how high is its center of gravity Step 1 The object is stable as long as object is centre of gravity, The torque due to gravity will rotate the object back towards stable equilibrium position then the object is stable. The critical angle is -1 t = tan ( 2h ) The above figure is the model of the car tyre and the centre of the gravity.