Mechanics and Applied Mechanics
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Questions and Answers

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.

<p>The amount of matter present in the body, denoted by 'm' and measured in kg.</p> Signup and view all the answers

Define weight.

<p>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).</p> Signup and view all the answers

What is the formula to calculate weight?

<p>Weight = mass × gravity (w = mg)</p> Signup and view all the answers

Is 0i a real number?

<p>Yes</p> Signup and view all the answers

What is the value of 0i?

<p>0</p> Signup and view all the answers

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

<p>Real numbers</p> Signup and view all the answers

What are real numbers a special type of?

<p>Complex numbers</p> Signup and view all the answers

What are complex numbers?

<p>A combination of real and imaginary parts, where the imaginary part is a multiplication of the real part by the imaginary unit i.</p> Signup and view all the answers

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

<p>Addition and subtraction of complex numbers are performed component-wise, meaning that the real and imaginary parts are simply combined.</p> Signup and view all the answers

What is the general rule for multiplication of complex numbers?

<p>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.</p> Signup and view all the answers

In what fields are complex numbers used?

<p>Electronics, engineering, physics, and mathematics.</p> Signup and view all the answers

What is the imaginary unit i defined as?

<p>The square root of negative one (i^2 = -1).</p> Signup and view all the answers

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

<p>Component-wise.</p> Signup and view all the answers

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