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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb9c3e4c-162a-406e-bb6d-e5e22cff36c6%2Fd4ab8069-d62e-4211-9a70-91cbfbd42924%2F7mf1drf_processed.png&w=3840&q=75)
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
![](/static/compass_v2/shared-icons/check-mark.png)
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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