WorksheetsPrerequisite Diagnostic Quiz
Total questions: 12
Worksheet time: 6mins
What is the derivative of f(t)=3t2+2t+1?
6t+2
6t
2t+1
3t+2
What is the Laplace transform of f(t)=e2t?
1/(s+2)
1/(s-2)
s/(s+2)
None
The solution to dxdt+2x=4, with x(0)=0 is:
x(t)=2(1−e−2t)
x(t)=4e−2t
x(t)=2e−2t
x(t)=e−2t
Which of the following is a correct way to multiply two matrices AA and BB?
By multiplying corresponding elements
Row by column multiplication
Adding elements
Transposing both before multiplying
Newton's Second Law states:
Force = Mass x Velocity
Force = Mass x Acceleration
Force = Mass x Displacement
Force = Power x Time
Ohm's Law relates:
Current, voltage, resistance
Power, voltage, current
Current, inductance, capacitance
Resistance, power, frequency
An open-loop control system:
Has no feedback
Uses feedback
Is always stable
None of the above
The function of a feedback loop is to:
Increase output only
Reduce sensitivity to disturbance
Eliminate the need for sensors
Only increase gain
Block diagrams are used to:
Represent system components and their relationships
Only represent electronic circuits
Draw mechanical free-body diagrams
List system parameters
The transfer function is defined as:
Output/Input in Laplace domain with zero initial conditions
Input/Output in time domain
Output/Input in frequency domain
Output/Input in the z-domain
The complex number jω (where j=−1 and ω is angular frequency) is typically used in:
Time domain analysis only
Frequency domain analysis
Probability calculations
Linear algebra operations
A free-body diagram in mechanical system modeling is used to:
Represent electrical currents
Show all the forces acting on a body
Draw system block diagrams
Indicate the location of sensors
