Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
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
See similar textbooks
icon
Related questions
Question

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)

 

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Dimensional Analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS