A four wheeled trolley car has a total mass 3000kg. Each axle with its two wheels and gears has a total moment of inertia of 32kgm2. Each wheel is of 400mm radius. The centre distance between the two wheels on an axle is 1.4m. Each axle is driven by a motor with a speed ratio of 1.3. Each along with it gear has a moment of inertia of 16kgm2 and rotates in the opposite direction to that of the axle. The centre of mass of the car is 1m above the rails. Calculate the limiting speed of the car when it has to travel around a curve of 250m radius without the wheels leaving the road.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.11P: Solve Prob. 7.10 assuming that the pick-up truck has front-wheel drive.
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A four wheeled trolley car has a total mass 3000kg. Each axle with its two wheels and gears has a total moment of inertia of 32kgm2. Each wheel is of 400mm radius. The centre distance between the two wheels on an axle is 1.4m. Each axle is driven by a motor with a speed ratio of 1.3. Each along with it gear has a moment of inertia of 16kgm2 and rotates in the opposite direction to that of the axle. The centre of mass of the car is 1m above the rails. Calculate the limiting speed of the car when it has to travel around a curve of 250m radius without the wheels leaving the road.

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