Problem 2: Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen on the right. To be stable, the force exerted by the ground must be on a line going through the center of gravity. The force on the bicycle wheel can be resolved into two perpendicular components- friction parallel to the road (this must supply the centripetal force) and the vertical normal force (which must equal the system's weight). Free-body diagram CG F - sum of N and F N- w Part (a) Find an equation for the tangent of the angle between the bike and the vertical (0). Write this equation in terms of the velocity of the bike (v), the radius of curvature of the turn (r), and the acceleration due to gravity (g). Expression: tan(0) Select from the variables below to write your expression. Note that all variables may not be required. B, y, 0, b, d, g, h, j, k, m, n, P, r, S, v Part (b) Calculate 0 for a turn taken at 12.5 m with a radius of curvature of 49 m. Give your answer in degrees. Numeric : A numeric value is expected and not an expression.
Problem 2: Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen on the right. To be stable, the force exerted by the ground must be on a line going through the center of gravity. The force on the bicycle wheel can be resolved into two perpendicular components- friction parallel to the road (this must supply the centripetal force) and the vertical normal force (which must equal the system's weight). Free-body diagram CG F - sum of N and F N- w Part (a) Find an equation for the tangent of the angle between the bike and the vertical (0). Write this equation in terms of the velocity of the bike (v), the radius of curvature of the turn (r), and the acceleration due to gravity (g). Expression: tan(0) Select from the variables below to write your expression. Note that all variables may not be required. B, y, 0, b, d, g, h, j, k, m, n, P, r, S, v Part (b) Calculate 0 for a turn taken at 12.5 m with a radius of curvature of 49 m. Give your answer in degrees. Numeric : A numeric value is expected and not an expression.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Work and Kinetic Energy Q2: Please answer each part step by step and explain each step (even if minor) in detail please.
Transcribed Image Text:Problem 2: Part of riding a bicycle involves leaning at the correct angle when making a turn, as
seen on the right. To be stable, the force exerted by the ground must be on a line going through
the center of gravity. The force on the bicycle wheel can be resolved into two perpendicular
components – friction parallel to the road (this must supply the centripetal force) and the vertical
normal force (which must equal the system's weight).
Free-body diagram
CG
F = sum of N and F.
N = W
Fc
Part (a) Find an equation for the tangent of the angle between the bike and the vertical (0). Write this equation in terms of the velocity of the bike
|(v), the radius of curvature of the turn (r), and the acceleration due to gravity (g).
Expression
tan(0)
Select from the variables below to write your expression. Note that all variables may not be required.
B, y, 0, b, d, g, h, j, k, m, n, P, r, S, v
m
Part (b) Calculate 0 for a turn taken at 12.5
with a radius of curvature of 49 m. Give your answer in degrees.
Numeric : A numeric value is expected and not an expression.
A =
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