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WorksheetsQuiz 2 on Mechanical Systems, DE & Octave
Total questions: 16
Worksheet time: 16mins
Given the differential equation dP/Dt=5P
A) Find the general solution for P to the differential equation
B)Find the particular solution for P to the differential equation given P(0)= 418
A) P=Ce5t
B) P= 5e418t
A) P=Ce5t
B) P= 418e5t
A) P=Cet
B) P= 418et
A) P=Ce10t
B) P= 418e10t
The population of the little town of Scorpion Gulch is now 1000 people. The population is presently growing at about 5% per year.
Find the general solution.
P=.05e1000t
P=1000e5t
P=1000e.05t
p=lne1000t
dy/dx = 4x/y. Suppose y(0)=1
The particular solution is
B
C
D
E
Find the particular solution for y if dy/dx = 2x√y and y = 4 when x = 3.
2√y = x2 + C
y = (x2 + 25)2/4
y = (x2/2-5/2)1/2
y = x4/4
A system is a group of parts that work together to perform a function.
True
False
The mechanical advantage of a machine is the amount by which a machine can multiply a force.
True
False
Each subsystem in a complex machine contains a simple machine and usually has just one function. List 2 examples of a subsystem on a pedal bike.
The force applied to a machine is called the output force. Example: a human pushing down on a lever.
True
False
What are the principal components of a mechanical system in all systems?
Gear, lever and cam
Input and output
Input, process, output and feedback
Input, process and output
Which are the functions of the mechanisms
Change the type of movement
Change the speed
Change the amount of torque
Change the linear force
On a car, which is the type of movement
Reciproating
Oscillating
Rotary
What mechanical system is your favourite?
Car
Automata
Washing machine
Bicycle
A mechanical system is...
The things put into the system. Can be physical or other (energy, movement, etc.)
A push or a pull that can cause movement.
The parts of a system
A structure that has parts that are connected and influence each other in some way.
A push or a pull that can cause movement.
Work
Effort
System
Force
>>x=[1 2 3];
>>y=[4 5 6]
>>z=x.*y
z=4 10 19
z=4 11 18
z=3 10 18
z=4 10 18
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