Problem 3 A 730-lb motorcycle and rider have a combined center of mass at a distance b = 33 in. behind the front wheel and h = 36 in. above the ground, as pictured. The wheelbase w = 55 in.. The engine generates enough torque at the rear wheel, which has a radius of r= 13 in., to cause the tire to slip, and the coefficient of kinetic friction between the rear tire and the pavement is µk = 0.6. The front wheel is free to roll, and you may ignore the mass moment of inertia of the wheels. Consider only the instant when the bike starts from rest. a. Draw a clear and complete free body diagram in the space provided below. b. What is the normal force under the rear wheel? c. What is the normal force under the front wheel? d. Does the front wheel lift off the ground? e. What is the horizontal acceleration of the bike and rider?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Problem 3
A 730-lb motorcycle and rider have a combined center of mass
at a distance b = 33 in. behind the front wheel and h = 36 in.
above the ground, as pictured. The wheelbase w = 55 in..
The engine generates enough torque at the
rear wheel, which has a radius of r= 13 in.,
to cause the tire to slip, and the coefficient
of kinetic friction between the rear tire and
the pavement is µk = 0.6.
The front wheel is free to roll, and you may
ignore the mass moment of inertia of the
wheels. Consider only the instant when the
bike starts from rest.
a. Draw a clear and complete free body diagram in the space provided below.
b. What is the normal force under the rear wheel?
c. What is the normal force under the front wheel?
d. Does the front wheel lift off the ground?
e. What is the horizontal acceleration of the bike and rider?
Side view FBD
Transcribed Image Text:Problem 3 A 730-lb motorcycle and rider have a combined center of mass at a distance b = 33 in. behind the front wheel and h = 36 in. above the ground, as pictured. The wheelbase w = 55 in.. The engine generates enough torque at the rear wheel, which has a radius of r= 13 in., to cause the tire to slip, and the coefficient of kinetic friction between the rear tire and the pavement is µk = 0.6. The front wheel is free to roll, and you may ignore the mass moment of inertia of the wheels. Consider only the instant when the bike starts from rest. a. Draw a clear and complete free body diagram in the space provided below. b. What is the normal force under the rear wheel? c. What is the normal force under the front wheel? d. Does the front wheel lift off the ground? e. What is the horizontal acceleration of the bike and rider? Side view FBD
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