Figluma

Learn exam mechanics by writing the next equation, not by reading a wall of notes.

5 live modelsGuided problem solvingDirectory Validation

Start hereWork checkpoint 1: Choose the slope-aligned axes.

Write one line in Scratch working, then press Check this line before revealing.

What it doesTurns one physics problem into small equation decisions.

Use it when the hard part is choosing the force, component, sign, or equation.

Learning loopDiagram, equation, feedback, next checkpoint.

Do not read everything first. Move through the rail and explain each equation.

1 Pick a problem

Mechanics

Block on a rough inclineForces / Inclined planes / Friction Crate pulled across a rough floorForces / Horizontal motion / Friction Table block and hanging massConnected particles / Friction / Newton's laws Passenger in an accelerating elevatorNewton's laws / Apparent weight / Vertical motion Projectile launched from a cliffProjectile motion / Kinematics / Vectors

A 2.0 kg block is released from rest on a 30 degree rough incline. The coefficient of kinetic friction is 0.20. Find the acceleration down the slope.

Your job: connect the known values to the unknown by building the equation one checkpoint at a time.

Knowns and target

Givens

$m$ Mass: $2.0 kg$
$θ$ Incline angle: $3 0^{\circ}$
$μ_{k}$ Kinetic friction coefficient: $0.20$
$g$ Gravitational field strength: $9.8 m s^{- 2}$

Unknowns

$a$ Acceleration down the slope: $? m s^{- 2}$

+x is down the slope. +y is perpendicular outward from the slope.

Assumptions

The block is already sliding, so kinetic friction applies.
Air resistance is negligible.
The incline angle and friction coefficient are constant.

Constraints

Normal force is perpendicular to the plane.
Friction opposes motion, so it points up the plane.
Only the component of weight parallel to the plane accelerates the block.

Block on a rough incline

2 Try this checkpoint before opening the worked equation.

Look atSetupChoose the slope-aligned axes

Equation jobChoose the slope-aligned axesThe slope-aligned axes make the acceleration one-dimensional. The block accelerates along x, while the y forces balance.

Watch forCommon mistakeReporting the acceleration with the opposite sign or with force/speed units.

Equation lens

+ x

down slope, +y = normal outward

Choose the slope-aligned axesBefore revealing the worked equation, decide what "Choose the slope-aligned axes" must establish from the diagram and givens.

Hint before equation

Set the axes, origin, sign convention, or linked-motion choice before writing algebra.

Reporting the acceleration with the opposite sign or with force/speed units.

Equation-choice checkWhat feature of the diagram, sign convention, or givens makes "Choose the slope-aligned axes" the right next equation?

Step 1 of 5SetupChoose the slope-aligned axes

Use the diagram focus, problem state, and scratch workspace first.

3 Checkpoint path

Follow one checkpoint at a time. Hidden equations are not skipped; they are the task.

Choose the slope-aligned axes
Not yet
Set the axes, origin, sign convention, or linked-motion choice before writing algebra.
Watch: Reporting the acceleration with the opposite sign or with force/speed units.
Resolve weight perpendicular to the plane
Not yet
Resolve only onto the chosen axes and check which part of each vector belongs in this step.
Watch: Swapping sin(theta) and cos(theta) for the slope and normal components.
Write friction from the normal force
Not yet
Separate driving terms from opposing terms, then assign signs from the positive direction.
Watch: Swapping sin(theta) and cos(theta) for the slope and normal components.
Apply Newton's second law along the slope
Not yet
Separate driving terms from opposing terms, then assign signs from the positive direction.
Watch: Using mg instead of mg sin(theta) along the slope.
Cancel mass and calculate acceleration
Not yet
Substitute after the model equation is settled, then check units and the requested interpretation.
Watch: Keeping mass in the final acceleration even though it cancels.

Common traps

Using mg instead of mg sin(theta) along the slope.
Adding friction in the direction of motion instead of subtracting it.
Dropping kinetic friction from the down-slope net-force equation.
Swapping sin(theta) and cos(theta) for the slope and normal components.
Reporting the acceleration with the opposite sign or with force/speed units.
Keeping mass in the final acceleration even though it cancels.

Your workspace

Do this nowWrite the next line for: Choose the slope-aligned axes

Use the diagram cue, explain why the equation fits, then check one scratch line. Reveal only after an attempt.

Worked0 / 5

Checked0

Revealed0 / 5

Attempt timerNot started

Solve checklist0 / 4 marked

SetupAxes, sign convention, model constraints, and linked-motion/origin choices are stated.
Choose the slope-aligned axes
1 common trap tied to this row.
ComponentsResolved components, force directions, normal/friction setup, or velocity split are correct.
Resolve weight perpendicular to the planeWrite friction from the normal force
1 common trap tied to this row.
Net-force / governing equationThe main Newton's law or motion equation uses the right model, signs, and shared variables.
Apply Newton's second law along the slope
3 common traps tied to this row.
ResultThe final rearrangement, numeric value, units, and direction/speed interpretation are correct.
Cancel mass and calculate acceleration
1 common trap tied to this row.

Why does this equation fit?

One sentence is enough. The aim is to connect the line to the diagram, not to write notes.

Write one line to check