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1. The stones are thrown off the conveyor with a horizontal velocity of 40 ft's as shown. Determine the speed at which the stones hit the ground at point B. 40 ft/s 100 ft Pi

1. The stones are thrown off the conveyor with a horizontal velocity of 40 ft's as shown. Determine the speed at which the stones hit the ground at point B. 40 ft/s 100 ft Pi

Elements Of Electromagnetics
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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Answer the following question 

1. The stones are thrown off the conveyor with a horizontal velocity of 40 ft's as shown. Determine the speed at which the stones hit the ground at point B. 40 ft/s 100 ft Pi
Transcribed Image Text:1. The stones are thrown off the conveyor with a horizontal velocity of 40 ft's as shown. Determine the speed at which the stones hit the ground at point B. 40 ft/s 100 ft Pi
Expert Solution
Step 1

tan ϑ = 1 / 10;

ϑ = tan -1 ( 1 / 10 )

ϑ = 5.71'

Vx = 40 ft/s

Sx = d cos ϑ = Vxt + axt

ax = 0

d cos ϑ = Vx t

t = d cos ϑ / 40    ..........(1)

Sy = Uy t + 1/2 ay t2161

Sy = 1/2 gt2 ...........(2)

Sy = 100 + d sin ϑ  ................(3)

From (2) & (3) ;

100 + sin 5.71' d = 1/2 *32.37 (d cos 5.71 / 40)2

100 + 0.099d =  32.37 / 2 (d2 0.99025) / 1600

0.009986065 d2 - 0.99 d - 100 = 0

solving quadratic equation ;

d = 161.2430941 ft  .......(4)

 

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