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Mechanics (maths)
| Question | Answer |
|---|---|
| Define particle | Entire mass concentrated at a single point, no air resistance |
| Define lamina | Two dimensional body, all weight acts through a single plane |
| Define uniform body | Body with constant density |
| What is the difference between a smooth surface and a rough surface | Smooth- No friction Rough- Friction acts |
| Define light object | Object with no mass |
| Define inextensible string | String with fixed length, impossible to stretch |
| Define rigid body | Body with a fixed shape |
| What is the gradient of a distance time graph | Velocity |
| What is the equation for Average velocity | Average velocity= Displacement from starting point/time |
| Define acceleration | Rate of change of velocity |
| What is the area under a velocity time graph | Displacement |
| What are the 5 suvat equations | v=u+at s=(u+v/2)t v^2=u^2=2as s=ut+0.5at^2 s=vt-0.5at^2 |
| What is the value of acceleration due to gravity | 9.8m/s |
| What is newtons first law | An object at rest will stay at rest and an object moving at constant velocity will continue to move at constant velocity until an unbalanced force acts on the object |
| Define resultant force | The overall force acting on an object |
| What is the equation for newtons second law | F=ma |
| What is Newtons 3rd law | For every action there is an equal and opposite reaction |
| What is the equation for a moment | Moment=Fd |
| What is the resultant moment of a body in equilibrium | 0 |
| Where is the centre of mass for a uniform object | At the midpoint |
| If a rigid body is on the point of tilting about a pivot, what is the reaction at any other support | 0 |
| What do you do to solve problems involving inclined planes | Resolve parallel and perpendicular to the slope |
| What is the equation for Fmax | Fmax=μR |
| How do we model horizontal motion of a projectile | As having constant velocity |
| How do we model vertical motion of a projectile | With constant acceleration due to gravity |
| What is the equation for time of flight | T=2usinα/g |
| What is the equation for range of flight | R=(u^2)sin2α/g |
| What is the equation relating height of an object to its horizontal displacement | y=xtanx-(gx^2/2u^2)(1+tan^2(α)) |
| How can we tell that a particle is in static equilibrium | It is at rest and the resultant force acting on it acting on it is zero |
| How do you solve problems in statics you should | -Draw a diagram -Resolve forces either horizontal and vertical componentises or parallel and perpendicular to the plane -The sum of forces in each direct is equal to zero -Solve the resulting equations |
| When is the maximum value of friction reached | When the body is on the point of moving (in limiting equilibrium) |