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

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

Outline for the first Day 16 th 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 17 th 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

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) b ( 7 4. 8 ) 5. c (0.7) 6. c (75) 7. b (11) 8. d (2) 9. a (300) 10. a (10m/s)

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

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) =? Practice this concept https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/v/multiplying-positive-and-negative-numbers

Order of operations 3. Find the value of 16 + 4 ÷ 2 16 + 2 = 18 3. Evaluate: 5 + 10 ÷ 3 × 6 = 2 2 − 15 ÷ 3 = Practice this concept https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/v/introduction-to-order-of-operations

Fractions 4. Find 3 4 + 1 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 1 3 7 5 2 4 + 9 − 4 = 9 = 9 4 , • To add fractions with different denominators, you must first change both denominators to be the same. 3×2 6 6 1 7 8 + 8 = • 4×2 = 8 then 8 4. Find the value of: 6 − 2 5 6 =?, 4 5 + 2 10 =? Practice this concept https://www.khanacademy.org/math/arithmetic/fractions

Decimals 7 5. What is 10 written as a decimal? 5. Write the following fractions into decimal numbers: 12 23 1 3 100 = ? 1000 = ?, 2 = ?, 4 =? Practice this concept https://www.khanacademy.org/math/arithmetic/decimals

Percentage 6. 25% of 300 people is Percentages compare one fraction to another fraction with a denominator of 100. 300 = 25 ? 100 300×25 = 𝟖𝟔 100 6. Find the value of the following: • What number is 2% of 50 ? • What percent(%) of 45 is 9? • 50% of what is 9? Practice this concept https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/finding-percentages-example

Algebra 7. Evaluate the expression 3𝑦 + 5 for 𝑦 = 2 Replacement(Substitution) of 𝑦 by its equal value 2 3 × 2 + 5 = 11 7. Evaluate the following expressions: 2𝑧 − 3 𝑔𝑝𝑠 𝑧 = 5 1 2 𝑏 2 𝑢 𝑔𝑝𝑠 𝑏 = 2, 𝑢 = 3 Practice this concept https://www.khanacademy.org/math/in-seventh-grade-math/algebraic-expressions/finding-value-expression/v/evaluate-a-formula-using-substitution

Cont. Algebra 8. Solve the equation 5𝑤 + 2 = 12 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 10 5 = 5 divide both sides by 5 𝑤 = 2 8. Solve the following equations: 4𝑏 = 16 𝑒 + 6 = 13 20 = 15 − 5𝑏 Practice this concept https://www.khanacademy.org/math/algebra-basics/core-algebra-linear-equations-inequalities/core-algebra-solving-basic-equations/v/solving-one-step-equations

Metric Conversion 9. 3𝑛 =? 𝑑𝑛 g, m, L 3𝑛 = 300𝑑𝑛 9. Convert the following metric measurements: 120 𝑛𝑕 = ? 𝑕 , 40𝑛 =? 𝑙𝑛 , 25𝑀 =? 𝑛𝑀, 7𝑙𝑛 =? 𝑛 Practice this concept https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/conversion-between-metric-units

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.

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/s 2 for 3 seconds. How fast is john running now? Use this kinematic equation 𝒘 𝒈 = 𝒘 𝒋 + 𝒃𝒖 𝒘 𝒈 −𝒘 𝒋 There are 5 equations for motion 𝒃 = , 𝒘 𝒈 = 𝒘 𝒋 + 𝒃𝒖 𝒖 𝑏 = 2𝑛/𝑡 2 𝑢 = 3𝑡 𝑤 𝑗 = 4𝑛/𝑡 𝑤 𝑔 =? 𝑤 𝑔 = 4 𝑛 𝑡 + 2 𝑛 𝑡 2 × 3𝑡 = 10 𝑛 𝑡 Practice this concept https://www.khanacademy.org/science/physics/one-dimensional-motion

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 . 𝒘 𝒈 −𝒘 𝒋 There are 5 equations for motion 𝒃 = , 𝒘 𝒈 = 𝒘 𝒋 + 𝒃𝒖 𝒖 From rest means 𝑤 𝑗 = 0𝑛/𝑡 𝑤 𝑔 = 30𝑛/𝑡 𝑢 = 5𝑡 30𝑛 − 0𝑛 𝑡 𝑡 = 6𝑛/𝑡 2 𝑏 = 5𝑡 𝑡 = 1 0𝑛 𝑡 + 30𝑛 × 5 = 75𝑛 2 𝑡

The calculator you better bring for tomorrow’s workshop

Drop in sessions for math and physics in Semester1 2016 (12:00 pm-2:00pm) at room P202 Drop-in Sem Mon Tues Wed Thu Fri 1 Foot Park Shane Haifa Haifa Nand Nand City Flinders Tom St Albans Haifa Monday Tuesday Wednesday 11:00-12:00 11:00-12:00 11:00-12:00 ST. ALBANS FP FP Haifa Schedule 1:1 1:1 Biomechanics (Math Consultation Consultation and physics) tutorial Room 7.201L Room M318 L005B 12:00-2:00 12:00-2:00 12:00-2:00 ST. ALBANS FP FP Drop in Drop-in Drop-in Room 7.201L Room P202 Room P202 2:00-3:00 3:00-4:00 3:00-4:00 ST. ALBANS FP FP 1:1 Biomechanics (Math 1:1 Consultation and physics) tutorial Consultation Room 7.201L L005A Room M318