Victoria University Pre-semester Biomechanics Workshop1 SCC1001 - - PowerPoint PPT Presentation

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Victoria University Pre-semester Biomechanics Workshop1 SCC1001 - - PowerPoint PPT Presentation

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Victoria University Pre-semester Biomechanics Workshop1 SCC1001 (semester 1- 2016) 1. Basic maths skills preparation 2. Basic physics preparation Haifa Abdelqader Academic Support and Development haifa.abdelqader@vu.edu.au Room M318 (FP)

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SLIDE 1

Victoria University Pre-semester Biomechanics Workshop1 SCC1001 (semester 1- 2016)

  • 1. Basic maths skills preparation
  • 2. Basic physics preparation

Haifa Abdelqader Academic Support and Development haifa.abdelqader@vu.edu.au Room M318 (FP)

https://youtu.be/r3-UuoQ6fbY

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SLIDE 2

Outline for the first Day 16th Feb 2016

10:00-10:30- Introduction and your maths background 10:30-12:00- review in basic numeracy and algebra 12:00-1:00- Break 1:00- 3:00- continue with maths skills and some basic examples on how to solve physics problems using Algebra

Outline for the second Day 17th Feb 2016

10:00-10:30- Introduction and your geometry background 10:30-11:00- Practice in Pythagorean theorem 11:00-12:00- Practice in Trigonometry 12:00-1:00- Break 1:00-3:00- Combined examples in Pythagorean theorem and Trigonometry

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SLIDE 3

Maths Background Refresh your knowledge by answering 10 questions in 10 min

The correct answers:

Question # The right answer 1. c (-5) 2. d (-8) 3. a (18) 4. b (7

8)

5. c (0.7) 6. c (75) 7. b (11) 8. d (2) 9. a (300) 10. a (10m/s)

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SLIDE 4

Integers and Number line

  • 1. What is the value of −9 + 4 ?
  • Starting from 0.
  • Move toward the – sign 9 steps.
  • We are at −9. Start from here and follow the next instruction to

move toward the + sign 5 steps.

  • The answer to the sum is the place where we end up, which is −5
  • 1. Find the value of the following:

3 − 6 =? , 7 − 4 =? , 6 − 9 =? , 1 − 8 =? , −5 + 5 =?

https://www.khanacademy.org/math/arithmetic/absolute-value/adding_subtracting_negatives/v/adding-integers-with-different-signs

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SLIDE 5

Multiplying integers

  • 2. What is the product of 4 and−2 ?
  • Rule 1: the product of positive integer and negative integer is a

negative integer.

  • Rule 2: the product of two positive integers or two negative integers is

a positive integer.

  • Rule1 and 2 are the same for division(÷)

So now we can use rule 1 to find the value of (+4) × (−2) = −8

  • 2. Find the value of the following:

−3 −5 =? (−6) ÷ (2) =? , (7)(5) =? , (8)(−1) =? , (9)(0) =?

https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/v/multiplying-positive-and-negative-numbers

(×)

Practice this concept

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SLIDE 6

Order of operations

  • 3. Find the value of 16 + 4 ÷ 2

https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/v/introduction-to-order-of-operations

16 + 2 = 18

5 + 10 ÷ 3 × 6 = 22 − 15 ÷ 3 =

  • 3. Evaluate:

Practice this concept

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SLIDE 7

Fractions

  • 4. Find 3

4 + 1 8 =

https://www.khanacademy.org/math/arithmetic/fractions

  • 4. Find the value of:

5 6 − 2 6=?, 4 5 + 2 10=?

  • To add fractions with different denominators, you must first change both denominators

to be the same.

  • 3×2

4×2= 6 8 then 6 8 + 1 8 = 7 8

  • Common fractions can be added or subtracted only if they have common

denominators (bottom numbers).

  • When adding or subtracting fractions with common denominators, add or subtract

the numerators (top numbers).

Examples: 2 4 + 1 4 = 3 4 , 7 9 − 5 9= 2 9 Practice this concept

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SLIDE 8

Decimals

  • 5. What is

7 10 written as a decimal?

https://www.khanacademy.org/math/arithmetic/decimals

  • 5. Write the following fractions into decimal numbers:

12 100 = ? 23 1000 = ?, 1 2 = ?, 3 4 =?

Practice this concept

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SLIDE 9

Percentage

  • 6. 25% of 300 people is

Percentages compare one fraction to another fraction with a denominator of 100. ? 300 = 25 100

300×25 100

= 𝟖𝟔

  • 6. Find the value of the following:
  • What number is 2% of 50 ?
  • What percent(%) of 45 is 9?
  • 50% of what is 9?

https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/finding-percentages-example

Practice this concept

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SLIDE 10

Algebra

  • 7. Evaluate the expression 3𝑦 + 5 for 𝑦 = 2
  • 7. Evaluate the following expressions:

2𝑧 − 3 𝑔𝑝𝑠 𝑧 = 5 1 2 𝑏2𝑢 𝑔𝑝𝑠 𝑏 = 2, 𝑢 = 3

https://www.khanacademy.org/math/in-seventh-grade-math/algebraic-expressions/finding-value-expression/v/evaluate-a-formula-using-substitution

Replacement(Substitution) of 𝑦 by its equal value 2 3 × 2 + 5 = 11

Practice this concept

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SLIDE 11
  • Cont. Algebra
  • 8. Solve the equation 5𝑤 + 2 = 12
  • 8. Solve the following equations:

4𝑏 = 16 𝑒 + 6 = 13 20 = 15 − 5𝑏

https://www.khanacademy.org/math/algebra-basics/core-algebra-linear-equations-inequalities/core-algebra-solving-basic-equations/v/solving-one-step-equations

You need 2 steps to solve equation with 2 operations ( ×, +). To solve the equation means to have the variable by itself on one side. 5𝑤 + 2 − 2 = 12 − 2 subtract 2 from both sides 5𝑤 = 10

5𝑤 5 = 10 5 divide both sides by 5

𝑤 = 2

Practice this concept

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SLIDE 12

Metric Conversion

  • 9. 3𝑛 =? 𝑑𝑛

g, m, L

3𝑛 = 300𝑑𝑛

  • 9. Convert the following metric measurements:

120 𝑛𝑕 = ? 𝑕 , 40𝑛 =? 𝑙𝑛 , 25𝑀 =? 𝑛𝑀, 7𝑙𝑛 =? 𝑛

https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/conversion-between-metric-units

Practice this concept

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SLIDE 13

How to solve physics problem ( steps)

  • 1. It is just a problem so calm down
  • 2. Read through the problem, read and understand it in parts.

You can outline these parts as what is given and what do you have to find.

  • 3. It will be easier if you draw a free body diagram to

represent the problem.

  • 4. List down anything is given to you in variable form
  • 5. List all the unknown variables in the problem
  • 6. From the list of formulae (equations) choose the one you

think might be applicable to this problem

  • 7. Substitute known values into the equation then solve the

equation

  • 8. Check your answer to insure that it is reasonable and

mathematically correct.

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SLIDE 14

Solving physics problems of motion in 1 D

  • 10. John is jogging with a velocity of 4 m/s when he accelerates at 2 m/s2 for 3
  • seconds. How fast is john running now? Use this kinematic equation 𝒘𝒈 = 𝒘𝒋 + 𝒃𝒖

https://www.khanacademy.org/science/physics/one-dimensional-motion

𝑤𝑗 = 4𝑛/𝑡 𝑤𝑔 =? 𝑏 = 2𝑛/𝑡2 𝑢 = 3𝑡

There are 5 equations for motion 𝒃 =

𝒘𝒈−𝒘𝒋 𝒖

, 𝒘𝒈 = 𝒘𝒋 + 𝒃𝒖 𝑤𝑔 = 4 𝑛 𝑡 + 2 𝑛 𝑡2 × 3𝑡 = 10 𝑛 𝑡

Practice this concept

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SLIDE 15

Check your understanding

  • 10. A race car accelerates uniformly from rest to

30m/s in 5 seconds. Determine the acceleration of the car and the distance travelled.

There are 5 equations for motion 𝒃 =

𝒘𝒈−𝒘𝒋 𝒖

, 𝒘𝒈 = 𝒘𝒋 + 𝒃𝒖

From rest means 𝑤𝑗 = 0𝑛/𝑡 𝑤𝑔 = 30𝑛/𝑡 𝑢 = 5𝑡 𝑏 = 30𝑛 𝑡 − 0𝑛 𝑡 5𝑡 = 6𝑛/𝑡2 𝑡 = 1 2 0𝑛 𝑡 + 30𝑛 𝑡 × 5 = 75𝑛

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SLIDE 16

The calculator you better bring for tomorrow’s workshop

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SLIDE 17

Drop in sessions for math and physics in Semester1 2016 (12:00 pm-2:00pm) at room P202

Drop-in Sem 1 Mon Tues Wed Thu Fri Foot Park Shane Haifa Haifa Nand Nand City Flinders Tom St Albans Haifa

Haifa Schedule

Monday Tuesday Wednesday 11:00-12:00

  • ST. ALBANS

1:1 Consultation Room 7.201L 11:00-12:00 FP 1:1 Consultation Room M318 11:00-12:00 FP Biomechanics (Math and physics) tutorial L005B 12:00-2:00

  • ST. ALBANS

Drop in Room 7.201L 12:00-2:00 FP Drop-in Room P202 12:00-2:00 FP Drop-in Room P202 2:00-3:00

  • ST. ALBANS

1:1 Consultation Room 7.201L 3:00-4:00 FP Biomechanics (Math and physics) tutorial L005A 3:00-4:00 FP 1:1 Consultation Room M318