A motocross rider performs a triple jump maneuver from point B to point C. The combined mass of the rider and motorcycle is 165 kg. The curvature of the ramp between point A and point B is described by the function y = 0.64x² - 1.6x, where the origin is at point A and both x and y are measured in meters. (a) Show that the angle of the ramp at point B is approximately 57.995°. (b) In order to land at point C, determine the speed at which the rider must leave the ramp at B. Motorcycle jump (https://www.bertsmegamall.com/blog) (c) If the rider's speed increases at a constant rate from 5.5 m/s at point A to the computed speed at point B found in part (b), determine the motorcycle's constant tangential acceleration knowing that the arc length traveled along the ramp from A to B is 3.3 meters. (d) At point B just before leaving the ramp, determine the normal force exerted by the ground. on the motorcycle and the traction force (forward force parallel to the surface) between the motorcycle and the ground. (Treat the motorcycle as a particle.) y (m) x (m) y = 0.64x²-1.6x 2.5 m B 6.5 m

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter1: Introduction To Statics
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A motocross rider performs a triple jump maneuver from point B
to point C. The combined mass of the rider and motorcycle is
165 kg. The curvature of the ramp between point A and point B
is described by the function y = 0.64x² - 1.6x, where the origin
is at point A and both x and y are measured in meters.
(a) Show that the angle of the ramp at point B is
approximately 57.995°.
(b) In order to land at point C, determine the speed at which
the rider must leave the ramp at B.
Motorcycle jump
(https://www.bertsmegamall.com/blog)
(c) If the rider's speed increases at a constant rate from 5.5 m/s at point A to the computed speed
at point B found in part (b), determine the motorcycle's constant tangential acceleration
knowing that the arc length traveled along the ramp from A to B is 3.3 meters.
(d) At point B just before leaving the ramp, determine the normal force exerted by the ground.
on the motorcycle and the traction force (forward force parallel to the surface) between the
motorcycle and the ground. (Treat the motorcycle as a particle.)
y (m)
x (m)
y = 0.64x²-1.6x
2.5 m
B
6.5 m
Transcribed Image Text:A motocross rider performs a triple jump maneuver from point B to point C. The combined mass of the rider and motorcycle is 165 kg. The curvature of the ramp between point A and point B is described by the function y = 0.64x² - 1.6x, where the origin is at point A and both x and y are measured in meters. (a) Show that the angle of the ramp at point B is approximately 57.995°. (b) In order to land at point C, determine the speed at which the rider must leave the ramp at B. Motorcycle jump (https://www.bertsmegamall.com/blog) (c) If the rider's speed increases at a constant rate from 5.5 m/s at point A to the computed speed at point B found in part (b), determine the motorcycle's constant tangential acceleration knowing that the arc length traveled along the ramp from A to B is 3.3 meters. (d) At point B just before leaving the ramp, determine the normal force exerted by the ground. on the motorcycle and the traction force (forward force parallel to the surface) between the motorcycle and the ground. (Treat the motorcycle as a particle.) y (m) x (m) y = 0.64x²-1.6x 2.5 m B 6.5 m
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