B. for the first part the options are N,f,mgfor the second part, the options are N, N-mg, mg, N-mg-f (1)f =(2)FFsineFcose-Fsine-Fcose(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)=0 (4)(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).net, xFnet, y==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.Use lower case for the radius r and the velocity v.tan(0)=✓ FFsineFcose-FsineFree-body diagram-FcoseNYAWFPart 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 0.N=XCGwF = sum ofN and fN=w

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-PSINO O-Fcose (2) (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 force N, friction f, mass m, and g. =mv² / r (3) =0 (4) (c) Find an equation relating tan(0) with the speed of the bicycle v, radius r, and acceleration due to gravity, 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 F net, x = Fnet, y =

-PSINO O-Fcose (2) (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 force N, friction f, mass m, and g. =mv² / r (3) =0 (4) (c) Find an equation relating tan(0) with the speed of the bicycle v, radius r, and acceleration due to gravity, 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 F net, x = Fnet, y =

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 70P: Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen below. To...

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