Crankshaft mechanism is one of the most important mechanical system used to convert translational motion or reciprocating motion to rotational motion and vice versa. It is widely used in cars' engines and hydraulic pumps. Your role in car's engine manufacturing company is to analyze the displacement, velocity and acceleration diagrams for crankshaft planer mechanism to later find the forces of the links to avoid overloading the system. Your manger asked you the provide detailed analysis of the crankshaft planar mechanism shown in Figure.3. Part.1: -140 mm 60 mm Crank Connecting Rod x(t) V(t) a(t) Piston x(t) Reference Figure.3: Crankshaft planar mechanism for a car 'engine. 3

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
icon
Related questions
Question
Problem 3:
Crankshaft mechanism is one of the most important mechanical system used to convert translational motion or
reciprocating motion to rotational motion and vice versa. It is widely used in cars' engines and hydraulic pumps.
Your role in car's engine manufacturing company is to analyze the displacement, velocity and acceleration
diagrams for crankshaft planer mechanism to later find the forces of the links to avoid overloading the system.
Your manger asked you the provide detailed analysis of the crankshaft planar mechanism shown in Figure.3.
Part.1:
-140 mm
60 mm
Crank
Connecting Rod
x(t)
V(t)
a(t)
F(t)
(OB
Piston
x(t)
Reference
Figure.3: Crankshaft planar mechanism for a car 'engine.
If the zero-position x=0 at the extreme right as shown in Figure.3, perform the following tasks:
1. Derive a mathematical relation for displacement, velocity and acceleration x(t), v(t) and a(t) of the
piston B.
2. Derive a mathematical relation for force F(t) on the piston B by making use of the a(t).
3. Plot all the relations you have found using MatLab, note that you should end up with plots like
Figure.4.
4. Find the acceleration and force of the Piston B when the crank rotational speed is 30 rpm.
Transcribed Image Text:Problem 3: Crankshaft mechanism is one of the most important mechanical system used to convert translational motion or reciprocating motion to rotational motion and vice versa. It is widely used in cars' engines and hydraulic pumps. Your role in car's engine manufacturing company is to analyze the displacement, velocity and acceleration diagrams for crankshaft planer mechanism to later find the forces of the links to avoid overloading the system. Your manger asked you the provide detailed analysis of the crankshaft planar mechanism shown in Figure.3. Part.1: -140 mm 60 mm Crank Connecting Rod x(t) V(t) a(t) F(t) (OB Piston x(t) Reference Figure.3: Crankshaft planar mechanism for a car 'engine. If the zero-position x=0 at the extreme right as shown in Figure.3, perform the following tasks: 1. Derive a mathematical relation for displacement, velocity and acceleration x(t), v(t) and a(t) of the piston B. 2. Derive a mathematical relation for force F(t) on the piston B by making use of the a(t). 3. Plot all the relations you have found using MatLab, note that you should end up with plots like Figure.4. 4. Find the acceleration and force of the Piston B when the crank rotational speed is 30 rpm.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Fick’s Law of Diffusion and Mass Transfer
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.
Similar questions
  • SEE MORE QUESTIONS
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