2.6.5Force and Translational Dynamics
Slipping and Sliding — AP PHYSICS 1 Revision Notes & Topical Questions
5 min read 10 parts Lesson 27 of 36 1 quiz
Lesson summary
2.6.5 Slipping and Sliding — AP PHYSICS 1 notes: Analyse the change from static to kinetic friction, interpret friction graphs and handle stacked or accelerating objects.Sliding — two surfaces in contact move relative to each other and kinetic friction applies.Slipping — a specia…
- At the limit
- Increasing applied force
- Verge of slipping
- After slipping
- Force-sensor record
- No slipping
Section 1 of 10Sliding and slipping
Sliding
- Sliding two surfaces in contact move relative to each other and kinetic friction applies.
Slipping
- Slipping a special case in which an object that normally rolls does not roll.
- A braking bike wheel slides over the ground and kinetic friction acts.
- The centre of mass then moves faster than the contact point with the ground.
Rolling
- Rolling static friction applies to a rolling object.
Section 2 of 10Maximum static friction
Adaptive
- Adaptive static friction takes the value and direction needed to prevent slipping.
Maximum
- Ff,s,max = μsFN, reached at the point of slipping.
At the limit
- At the limit it equals the applied force in size and is opposite in direction.
Section 3 of 10From sticking to sliding
Increasing applied force
- Increasing applied force static friction grows to match it, so the object stays at rest.
Verge of slipping
- Verge of slipping applied force equals μsFN.
After slipping
- After slipping friction drops to the usually smaller μkFN and the object accelerates (the lurch).
Section 4 of 10Friction–force graph
| Region | Shape | Value |
|---|---|---|
| Static | Straight line, gradient 1, through origin | Friction equals applied force up to μsFN |
| Kinetic | Horizontal line | μkFN, whatever the applied force |
Force-sensor record
- Force-sensor record force rises, peaks, then falls to a constant level while the block slides steadily.
Use
- Use with FN known, the peak gives μs and the plateau gives μk.
Section 5 of 10Stacked blocks and accelerating surfaces
Stacked blocks and accelerating surfaces
Top block
- Top block its only horizontal force is static friction from the lower block, fs = mtopa.
No slipping
- No slipping requires a ≤ μsg, so amax = μsg.
Maximum pull on the stack
- Fmax = (mtop + mbottom)μsg on a frictionless table.
Beyond the limit
- Beyond the limit the top block slips backward relative to the bottom one and kinetic friction acts.
Cargo on a truck
- Cargo on a truck slides when the needed acceleration exceeds μsg.
Section 6 of 10Direction and energy when slipping
Direction
- Direction kinetic friction opposes the relative sliding of the surfaces.
- A top block slipping backward still feels friction forward; the bottom block feels it backward.
Third-law pair
- Third-law pair friction forces on the two blocks are equal and opposite, but accelerations differ with mass.
Energy
- Energy sticking dissipates nothing;
- sliding produces thermal energy equal to fk times the relative sliding distance.
Section 7 of 10Sliding to a stop
Deceleration
- Deceleration a launched block decelerates at μkg.
Distance and time
- Distance and time d = v2 / (2μkg) and t = v / (μkg).
- Halving μk doubles the stopping distance.
Thermal energy
- Thermal energy equals the initial kinetic energy ½mv2, which equals fkd.
Three regimes
- Three regimes at rest below the limit, on the verge of slipping, or sliding;
- the wording of a problem selects which friction equation to use.
Section 8 of 10More from the specification
1Transition from static to sliding friction
- Transition from static to sliding friction exceeding threshold static grip causes sudden slipping, providing a mechanical means to study dynamic traction.
2Threshold
- The output value at which a switching circuit changes state.
3Velocity
- Rate of change of displacement.
4Normal reaction
- The contact force perpendicular to a surface.
5Reaction force
- Force from a support pushing up on an object.
6Constant velocity
- Zero acceleration.
Section 9 of 10Key terms
| Term | Meaning |
|---|---|
| Slipping | Start of relative sliding between surfaces. |
| Limiting friction | Maximum static friction. |
| Relative motion | Motion of one object measured from another. |
| Plateau | Level part of a graph where the value is constant. |
| Stack | Objects resting one on another. |
Section 10 of 10Exam technique
1
Believing friction stays at the maximum static value once sliding begins.
2
Forgetting that μs is normally greater than μk.
3
Assuming the top block slips whenever the table accelerates — it slips only if the required acceleration exceeds μsg.
4
Choosing the wrong friction direction on the top block of an accelerating stack.
5
Treating the force graph as a straight line after slipping.
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