What is newtons third law ?
If object A exerts a force on object B, then object B exerts a force on object A, with the same magnitude but opposite direction
What is normal contact force ?
- Whenever a object is in contact with a surface, the surface exerts a normal reaction force on it
- This force is in the direction perpendicular to the surface away from it
Explain how a mathematical problem is treated when two objects are in contact with the same acceleration ( eg. person in lift ) ?
- If two objects are in contact and moving with the same acceleration, you treat them as one particle
- F = ma applies, where m is combined mass of all objects and F is resultant force of all external forces
What are the modelling assumptions for a string connecting two particles ?
- Inextensible
- Light
How is the modelling assumption that a string connecting two particles is ‘light’ used ?
- The string has a mass that is negligible in the context of the system
- The mass of the string can be ignored
- In a vertical system , the tension in the string is the same throughout
How is the modelling assumption that a string connecting two particles is ‘inextensible’ used ?
- The string cannot stretch
- the magnitude of the acceleration and velocity of each connected particle is the same ( if the string is taut )
What are the two modelling assumptions for a pulley ?
- Smooth
- Light
Explain how the modelling assumption ‘smooth’ is used for a pulley ?
Explain how the modelling assumption ‘smooth’ is used for a pulley ?
- There us no friction between the pulley and its axis
- The tension in the string is the same on both sides of the pulley
Explain how the modelling assumption ‘light’ is used for a pulley ?
- The mass of the pulley can be ignored
- The tension in the string is the same on both sides of the pulley
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1) Proof and mathematical communication11
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2) Indices and Surds11
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3) Quadratic functions0
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4) Polynomials0
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5) Using Graphs11
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6) Coordinate Geometry0
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7) Logarithms0
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8) Exponential models11
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9) Binomial Expansion7
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10) Trigonometric functions21
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11) Triangle Geometry6
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12) Vectors15
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13) Differentiation9
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14) Applications of differentiation0
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15) Integration0
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16) Working with data35
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17) Probability14
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18) Statistical hypothesis testing13
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19) Introduction to Kinematics14
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20) Motion with constant acceleration4
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21) Force and motion8
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22) Objects in Contact10
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2.1 ) Proof20
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2.2 ) Functions21
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3.2 ) Further transformations of graphs9
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4.2 ) Sequences and Series0
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5.2 ) Rational functions and partial fractions8
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6.2 ) General Binomial Expansion2
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7.2 ) Radian measure16
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8.2 ) Further Trigonometry12
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9.2 ) Calculus of exponential and trigonometric functions12
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10.2 ) Further differentiation13
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11.2 ) Further integration techniques9
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12.2 ) Further applications of calculus18
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13.2 ) Differenital Equations0
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14.2 ) Numerical solutions of equations0
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15.2 ) Numerical integration0
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16.2 ) Conditional probability10
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17.2 ) The normal distribution14
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18.2 ) Further hypothesis testing14
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19.2 ) Applications of vectors0
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20.2 ) Projectiles0
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21.1 ) Forces in context0
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22.2 ) Moments0
