Q1) A track with four wheels, each of (800 mm) diameter, travels on rails round curve of (100 m) radius, the total mass of the track is ( 4.5 tones) and its center of gravity is midway between the axle (1.4 m) above the rails and the centre distance between the two wheels on an axle is (1.5 m). Each axle is driven by a motor with speed ratio between the two being 1: 4. Each motor with its gear has a moment of inertia of (14 kg-m ) and runs in a direction opposite to that of its axle. The moment of inertia of each pair of wheel is (25 kg.-m). Determine the limiting speed for this car. Consider the centrifugal and gyroscopic effects completely to maintain contact with the road surface.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.15P: Two 12-kg spheres are placed 400 mm apart. Express the gravitational attraction acting between the...
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Q1) A track with four wheels, each of (800 mm) diameter, travels on rails round
curve of (100 m) radius, the total mass of the track is ( 4.5 tones) and its
center of gravity is midway between the axle (1.4 m) above the rails and the
centre distance between the two wheels on an axle is (1.5 m). Each axle is
driven by a motor with speed ratio between the two being 1 : 4. Each motor
with its gear has a moment of inertia of (14 kg-m ) and runs in a direction
opposite to that of its axle. The moment of inertia of each pair of wheel is (25
kg.-m). Determine the limiting speed for this car. Consider the centrifugal
and gyroscopic effects completely to maintain contact with the road surface.
Transcribed Image Text:Q1) A track with four wheels, each of (800 mm) diameter, travels on rails round curve of (100 m) radius, the total mass of the track is ( 4.5 tones) and its center of gravity is midway between the axle (1.4 m) above the rails and the centre distance between the two wheels on an axle is (1.5 m). Each axle is driven by a motor with speed ratio between the two being 1 : 4. Each motor with its gear has a moment of inertia of (14 kg-m ) and runs in a direction opposite to that of its axle. The moment of inertia of each pair of wheel is (25 kg.-m). Determine the limiting speed for this car. Consider the centrifugal and gyroscopic effects completely to maintain contact with the road surface.
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