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Q. No. 6 Stability of a Four Wheel Drive Moving in a Curved Path

Q. No. 6 Stability of a Four Wheel Drive Moving in a Curved Path Gyroscope (Dynamics of Machine)

Q. 6: A four-wheeled trolley car of mass 2500 kg runs on rails, which are 1.5 m apart and travels around a curve of 30 m radius at 24 km / hr. The rails are at the same level. Each wheel of the trolley is 0.75 m in diameter and each of the two axles is driven by a motor running in a direction opposite to that of the wheels at a speed of five times the speed of rotation of the wheels. The moment of inertia of each axle with gear and wheels is 18 kg-m2. Each motor with shaft and gear pinion has a moment of inertia of 12 kg-m2. The centre of gravity of the car is 0.9 m above the rail level. Determine the vertical force exerted by each wheel on the rails taking into consideration the centrifugal and gyroscopic effects. State the centrifugal and gyroscopic effects on the trolley.

The concept of Gyroscope is used in the stability of Aeroplane, Naval Ship, 4 Wheeler, 2 Wheeler and the rotating Disc.

SUBJECT: Theory of Machine or Dynamics of Machine

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