(b) Write Newton's second law for the horizontal and vertical directions. Take rightward to be the +x-direction and vertically upward to be +y-direction. Write your equations in terms of the normal forceN, friction f, mass m, and g.✓ = mv²/r (3)Fnet, x✓=0 (4)Fnet,y E(c) Find an equation relating tan(0) with the speed of the bicycle v, radius r, and acceleration due togravity, g. Hint equate the vector decomposition of F (1) and (2) to your results from part (b) - (3) and(4).To type your equations, you can enter Greek letters by selecting the MathType popup button(red radical) in the answer box. For Greek letters, press the right-facing arrow next to thealpha (a) symbol.tan(8) =V(d) Based on your answer for (c), if the bicycle is vertical (8=0°), will it be able to traverse the curvewhile maintaining balance?O yesO noWhy?(e) Calculate for a 10.5 m/s turn of radius 32 m.8=degrees 1.Free-body diagramYAFXCGF = sum ofN and fN=wPart of riding a bicycle involves leaning at the correct angle when making a turn, as seen in the figure.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 parallelto the road (this must supply the centripetal force) and the vertical normal force (which must equalthe weight of the system).(a) Express friction and normal force in terms of F and 8.

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1. Free-body diagram X W F = sum of N and f N=w Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen in the figure. 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 weight of the system). (2) Express friction and normal force in terms of F and A

1. Free-body diagram X W F = sum of N and f N=w Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen in the figure. 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 weight of the system). (2) Express friction and normal force in terms of F and A

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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Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

1.
Free-body diagram
YA
F
X
CG
F = sum of
N and f
N=w
Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen in the figure.
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 weight of the system).
(a) Express friction and normal force in terms of F and 8.

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