Mechanics and Materials Flashcards
Equilibrium
At rest/constant velocity
No acceleration
No resultant force
Moment
Force multiplied by perpendicular distance from pivot in line of action of force
Principle of Moments
At equilibrium - sum of clockwise moments = sum of anti-clockwise moments
Describe what is meant by centre of mass and state where the centre of mass of a uniform object lies
Point at which weight of an object acts and for uniform objects that is directly in the middle
Moment of a couple
Force multiplied by perpendicular distance between lines of action of pair of equal forces acting in opposite directions
Explain why objects topple over if tilted beyond their critical angle
Objects topple over when the line of action of their weight passes beyond the pivot and a moment is produced about the pivot causing it to topple over
Suggest why a vehicle full of people is more likely to topple over a cliff than an empty vehicle
Centre of mass will increase producing a greater moment beyond the pivot of the vehicle
Describe how to calculate the maximum angle an object can be tilted before it topples over
Align line of action of weight with pivot and using the dimensions of the object calculate the angle between the object and the ground
State the assumptions made for calculations involving projectile motion
No air resistance
Only gravity is acting
Explain why maximum range is reached at an angle of 45 degrees to the ground
At 45 degrees the vertical component for velocity equals the horizontal component. This ensures the longest time of flight for the highest horizontal velocity in order to achieve maximum range.
Suggest why objects of similar shape and size hit the ground at the same time regardless of their mass
Acceleration due to gravity is constant
Explain why driving force must increase to ensure a constant velocity of a vehicle at higher speeds
Air resistance increases at higher velocities so driving force must increase to ensure a constant resultant force
Suggest why air resistance increases when velocity increases
Air particles hit object with a greater force so exert a greater force against it and more air particles hit per second
Suggest how a parachute protects skydivers
- increases drag force so velocity decreases
- reduces change in momentum when skydiver hits ground
- results in smaller impact force
Terminal velocity
Maximum velocity reached by an object when drag force equals force causing motion of object
Newton’s First Law of Motion
Objects remain at rest or move at a constant velocity unless acted upon by a resultant force
Newton’s Second Law of Motion
The rate of change of momentum is proportional to the resultant force acting on an object
Newton’s Third Law of Motion
If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A
Explain how crumple zones in vehicles work
Increase collision time so increase time taken for change of momentum so impact force is reduced