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
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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.
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