Mechanics Flashcards
What is a vector quantity?
A physical quantity with magnitude and direction.
What is a scalar quantity?
A physical quantity with only magnitude.
Give three examples of scalar quantities.
- Distance
- Speed
- Mass
Give five examples of vector quantities.
- Displacement
- Velocity
- Acceleration
- Momentum
When can vector quantities be added together?
When the vectors are parallel or antiparallel.
How can resultant vectors be calculated?
- Scaled diagram
- Pythagoras
- Trigonometry
- Resolve components
How are vectors added using a scaled diagram?
- The vectors are drawn to scale and joined head to tail in the correct direction.
- The resultant vector joins the polygon.
What are the components of a vector?
The perpendicular pair of vectors.
How can vectors be added by resolving components?
- The vertical and horizontal components of the vectors are calculated.
- The perpendicular components are added and the resultant vector calculated.
What is the component parallel to the slope of a weight?
mgsinx
What is the component perpendicular to the slope of a weight?
mgcosx
Which forces acting on a weight are parallel to the slope?
- Friction
- Weight component
Which forces acting on a weight are perpendicular to the slope?
- Normal reaction force
- Weight component
What is a moment?
A force that produces a turning effect given by force x perpendicular distance from the line of action of the force to the pivot.
What is a moment also known as?
Torque
How can a moment be increased?
- Increased force
- increased distance
What is the principle of moments?
At balance, the sum of the clockwise moments about a point is equal to the sum of the clockwise moments about the same point.
What is the centre of gravity?
The point from which all the weight of an object appears to from.
Explain how the centre of gravity of a lamina can be found.
- Make a small hole in the corner of the shape and suspend it from a pin so it can move freely.
- Hang a plumb line from the pin and mark the vertical line.
- Repeat for two more points.
- The point of intersection shows the centre of gravity.
How can an object be made stable?
- Low centre of mass.
- Large base area.
When will an object tip over?
When the centre of gravity passes outside the base.
What is statics?
The study of forces acting on stationary objects.
What is Newtonian mechanics?
The study of objects that obey Newton’s three laws of motion.
Define coplanar forces.
Forces that all act in the same plane.
What happens when the vectors acting on a point form a closed polygon?
There is no resultant vector.
Give the two conditions for static equilibrium of coplanar forces.
- The resultant vector must be zero.
- The principle of moments must apply.
What is the principle of concurrency?
For three coplanar forces in equilibrium, the lines action must all pass though one point. (be concurrent)
What does the principle of concurrency apply to?
An object acted on by three forces.
Define dynamics.
The study of forces that may result in motion.
What happens if there is no resultant force on an object?
There is no change in velocity.
What is Newton’s first law?
An object will remain at rest or in uniform motion unless acted on by an unbalanced force.
What is Newton’s second law?
The resultant force is directly proportional to the rate of change of momentum.
What is Newton’s third law?
If object A exerts a force on object B, object B will exert an equal and opposite force on force A.
What are the two factors that affect the acceleration of an object?
- The size of the resultant force.
- The mass of the object.
What is relationship between resultant force, mass and acceleration?
F = ma
How is weight calculated from mass?
W = mg
What are the two forces acting on a falling object?
- Weight
- Air resistance
How does air resistance change with velocity?
Air resistance increases as velocity increases.
Describe the changes in velocity of a parachutist.
- There is an initial acceleration of g.
- Acceleration decreases until the terminal velocity is reached.
- Once the parachute is opened there is a large deceleration.
- Deceleration decreases until the terminal velocity is reached.
What are the two rules of Newton’s third law?
- The forces act on different objects.
- The forces must be the same type.
Which two forces act on an object sitting on the ground?
- Weight
- Reaction force
What causes a person to feel weightless?
When the reaction for is less than the weight.
How is average speed calculated?
distance travelled / time taken