Mechanics and Applied Mechanics

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16 Questions

What is the study of effect of forces acting on the body at rest?

Statics

What is the study of effect of forces acting on the body in motion?

Dynamics

What is the difference between kinematics and kinetics?

Kinematics is the study of effect of forces acting on the body in motion without consideration of forces causing motion, while kinetics is the study of effect of forces acting on the body in motion with consideration of forces causing motion.

Define mass.

The amount of matter present in the body, denoted by 'm' and measured in kg.

Define weight.

The gravitational force with which the Earth attracts the masses towards its center, denoted by 'W' and measured in N. Weight = mass × gravity (w = mg).

What is the formula to calculate weight?

Weight = mass × gravity (w = mg)

Is 0i a real number?

Yes

What is the value of 0i?

0

What type of numbers can be written as a + 0i?

Real numbers

What are real numbers a special type of?

Complex numbers

What are complex numbers?

A combination of real and imaginary parts, where the imaginary part is a multiplication of the real part by the imaginary unit i.

What is the general rule for addition and subtraction of complex numbers?

Addition and subtraction of complex numbers are performed component-wise, meaning that the real and imaginary parts are simply combined.

What is the general rule for multiplication of complex numbers?

The real part of the product is the product of the real parts minus the product of the imaginary parts, and the imaginary part of the product is the sum of the two products of one real part and the other imaginary part.

In what fields are complex numbers used?

Electronics, engineering, physics, and mathematics.

What is the imaginary unit i defined as?

The square root of negative one (i^2 = -1).

How are the real and imaginary parts combined when performing addition and subtraction of complex numbers?

Component-wise.

Test your knowledge of mechanics and applied mechanics with this quiz covering statics, dynamics, kinetics, and kinematics. Explore the study of forces acting on bodies at rest or in motion, and their application to engineering problems.

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