→→Consider a 40 kg child going down a water slide, who's path is given by r(t) = 0.01 t³ m 8(t) = 1.5 trad z(t) = (100-6 t) m Ignore the size of the child. 1) Find the time it takes the child to reach the bottom (z = 0 m) of the slide. 2) Find the velocity vector, written in cylindrical coordinates, when the child exits the bottom of the slide. 3) Draw the free body diagram of the child at an arbitrary point on the slide, indicating the directions of the total force on the child. 4) Write the force balance equation for the z direction, and determine the force the slide must exert in the z direction to prevent the child from falling through or falling off.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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→Consider a 40 kg child going down a water slide, who's path is given by
r(t) = 0.01 t³ m
8(t) = 1.5 t rad
z(t) = (100-6 t) m
Ignore the size of the child.
1) Find the time it takes the child to reach the bottom (z = 0 m) of the slide.
2) Find the velocity vector, written in cylindrical coordinates, when the child exits the
bottom of the slide.
3)
Draw the free body diagram of the child at an arbitrary point on the slide, indicating the
directions of the total force on the child.
4) Write the force balance equation for the z direction, and determine the force the slide
must exert in the z direction to prevent the child from falling through or falling off.
Transcribed Image Text:→Consider a 40 kg child going down a water slide, who's path is given by r(t) = 0.01 t³ m 8(t) = 1.5 t rad z(t) = (100-6 t) m Ignore the size of the child. 1) Find the time it takes the child to reach the bottom (z = 0 m) of the slide. 2) Find the velocity vector, written in cylindrical coordinates, when the child exits the bottom of the slide. 3) Draw the free body diagram of the child at an arbitrary point on the slide, indicating the directions of the total force on the child. 4) Write the force balance equation for the z direction, and determine the force the slide must exert in the z direction to prevent the child from falling through or falling off.
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