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A racing motor cyclist travels at 140 km/h round a curve of 120 m radius measured horizontally. The cycle and rider have mass of 150 kg and their centre of gravity lies at 0.7 m above the ground level when the motor cycle is vertical. Each wheel is 0.6 m in diameter and has moment of inertia about its axis of rotation 1.5 kg-m?. The engine has rotating parts whose moment of inertia about their axis of rotation is 0.25 kg-m² and it rotates at five times the wheel speed in the same direction. Find : 1. the correct angle of banking of the track so that there is no tendency to side slip, and 2. the correct angle of inclination of the cycle and rider to the vertical. [Hint. In calculating the angle of banking of the track, neglect the effect of gyroscopic couple] 18. |Ans. 52.12°; 55.57°|

A racing motor cyclist travels at 140 km/h round a curve of 120 m radius measured horizontally. The cycle and rider have mass of 150 kg and their centre of gravity lies at 0.7 m above the ground level when the motor cycle is vertical. Each wheel is 0.6 m in diameter and has moment of inertia about its axis of rotation 1.5 kg-m?. The engine has rotating parts whose moment of inertia about their axis of rotation is 0.25 kg-m² and it rotates at five times the wheel speed in the same direction. Find : 1. the correct angle of banking of the track so that there is no tendency to side slip, and 2. the correct angle of inclination of the cycle and rider to the vertical. [Hint. In calculating the angle of banking of the track, neglect the effect of gyroscopic couple] 18. |Ans. 52.12°; 55.57°|

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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18. A racing motor cyclist travels at 140 km/h round a curve of 120 m radius measured horizontally. The cycle and rider have mass of 150 kg and their centre of gravity lies at 0.7 m above the ground level when the motor cycle is vertical. Each wheel is 0.6 m in diameter and has moment of inertia about its axis of rotation 1.5 kg-m2. The engine has rotating parts whose moment of inertia about their axis of rotation is 0.25 kg-m2 and it rotates at five times the wheel speed in the same direction. Find : 1. the correct angle of banking of the track so that there is no tendency to side slip, and 2. the correct angle of inclination of the cycle and rider to the vertical. [Hint. In calculating the angle of banking of the track, neglect the effect of gyroscopic couple] |Ans. 52.12°; 55.57°|
Transcribed Image Text:18. A racing motor cyclist travels at 140 km/h round a curve of 120 m radius measured horizontally. The cycle and rider have mass of 150 kg and their centre of gravity lies at 0.7 m above the ground level when the motor cycle is vertical. Each wheel is 0.6 m in diameter and has moment of inertia about its axis of rotation 1.5 kg-m2. The engine has rotating parts whose moment of inertia about their axis of rotation is 0.25 kg-m2 and it rotates at five times the wheel speed in the same direction. Find : 1. the correct angle of banking of the track so that there is no tendency to side slip, and 2. the correct angle of inclination of the cycle and rider to the vertical. [Hint. In calculating the angle of banking of the track, neglect the effect of gyroscopic couple] |Ans. 52.12°; 55.57°|
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