A motorcycle and rider have a combined mass of 350kg. The vehicle's velocity is 100 km/hr. The rider is to go up a hill incline of 10 meters. The wheels each have a mass of 20 kg and a diameter of 500mm. The wheel design consists of 6 spokes with a mass of 0.5 kg for each spoke. a. Determine the vehicle's velocity at the top of the hill, assuming it was a rolling vehicle with engine being turned off. www a. Indicate the vehicle's velocity at each meter through the climb. b. Explain the transfer energy and how this affects the behaviour of the system. At another point in its journey, the motorcycle and rider travel at 80 km/h around a left-hand bend of radius 30m. Calculate: a) The angular velocity of each wheel. b) The moment of inertia of each wheel. c) The angular momentum of the wheel prior to entering the bend. d) The magnitude of the gyroscopic torque produced on the bike as the rider is driving around the bend. What is the effect and why is it important to calculate the gyroscopic torque produced on the bike as the rider is driving around the bend? How can you enhance this system?

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
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Problem 7.11P: Solve Prob. 7.10 assuming that the pick-up truck has front-wheel drive.
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A motorcycle and rider have a combined mass of 350kg. The vehicle's velocity is 100 km/hr. The rider
is to go up a hill incline of 10 meters. The wheels each have a mass of 20 kg and a diameter of
500mm. The wheel design consists of 6 spokes with a mass of 0.5 kg for each spoke.
a. Determine the vehicle's velocity at the top of the hill, assuming it was a rolling vehicle with
engine being turned off.
a. Indicate the vehicle's velocity at each meter through the climb.
b. Explain the transfer energy and how this affects the behaviour of the system.
At another point in its journey, the motorcycle and rider travel at 80 km/h around a left-hand bend
of radius 30m. Calculate:
a) The angular velocity of each wheel.
b) The moment of inertia of each wheel.
c) The angular momentum of the wheel prior to entering the bend.
d) The magnitude of the gyroscopic torque produced on the bike as the rider is driving around
the bend.
What is the effect and why is it important to calculate the gyroscopic torque produced on the bike as
the rider is driving around the bend? How can you enhance this system?
Transcribed Image Text:A motorcycle and rider have a combined mass of 350kg. The vehicle's velocity is 100 km/hr. The rider is to go up a hill incline of 10 meters. The wheels each have a mass of 20 kg and a diameter of 500mm. The wheel design consists of 6 spokes with a mass of 0.5 kg for each spoke. a. Determine the vehicle's velocity at the top of the hill, assuming it was a rolling vehicle with engine being turned off. a. Indicate the vehicle's velocity at each meter through the climb. b. Explain the transfer energy and how this affects the behaviour of the system. At another point in its journey, the motorcycle and rider travel at 80 km/h around a left-hand bend of radius 30m. Calculate: a) The angular velocity of each wheel. b) The moment of inertia of each wheel. c) The angular momentum of the wheel prior to entering the bend. d) The magnitude of the gyroscopic torque produced on the bike as the rider is driving around the bend. What is the effect and why is it important to calculate the gyroscopic torque produced on the bike as the rider is driving around the bend? How can you enhance this system?
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