Free-body diagrams, equilibrium and motion, talked through.

Statics and dynamics reward one habit above all: drawing the right free-body diagram. The tutor builds it with you force by force, then sets up the equations and solves them, and can open a simulation so you can watch the forces change.

Free AI statics and dynamics tutor, by voice and chat. No card needed.

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Does a 5 kg block slide down a 30° slope with friction coefficients 0.4 and 0.3?
Compare the pull down the slope with the most static friction can hold.
‹›Block on an Incline
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Down the slope: mgsin⁡θ=5×9.81×sin⁡30∘=24.5mg\sin\theta = 5 \times 9.81 \times \sin 30^\circ = 24.5 N

Normal force: N=mgcos⁡θ=42.5N = mg\cos\theta = 42.5 N, so static friction can hold at most μsN=0.4×42.5=17.0\mu_s N = 0.4 \times 42.5 = 17.0 N.

24.5>17.024.5 > 17.0, so the block slides, and kinetic friction acts up the slope:

a=g(sin⁡θ−μkcos⁡θ)=9.81(0.5−0.3×0.866)=2.36 m/s2a = g(\sin\theta - \mu_k \cos\theta) = 9.81(0.5 - 0.3 \times 0.866) = 2.36\ \text{m/s}^2

How the statics and dynamics tutor helps

Forces in the right direction

Friction up the slope, normal force perpendicular to the surface: the classic sign errors are pointed out before they cost marks.

Inclined plane lab

A checked simulation shows weight components, friction and when the block starts to slide.

Equations from the diagram

Every equation is written straight from the free-body diagram, so you learn the method, not one answer.

Statics and Dynamics topics it covers

  • Free-body diagrams
  • Force vectors and resultants
  • Moments and couples
  • Equilibrium of rigid bodies
  • Friction and inclines
  • Trusses and frames
  • Kinematics
  • Newton's second law and energy methods

Not on the list? Ask anyway: it covers any statics and dynamics topic, and on Plus it answers from your own uploaded course notes.

How a session works

  1. 1.

    Ask out loud or type

    Press Start talking and talk like you would to a tutor, or type your question. You can interrupt it any time.

  2. 2.

    Watch it on the whiteboard

    The working appears one step at a time. Say "yes" to move on, or ask for a step to be explained another way.

  3. 3.

    Check you've got it

    It ends with a quick question to check, and remembers what you found hard for next time.

Questions about the AI statics and dynamics tutor

Can I talk to it out loud?

Yes. Press Start talking and just talk, like a call with a tutor. You can interrupt it mid-sentence, and it puts the working on a whiteboard while it explains. Free accounts get 10 voice minutes a month, with no card needed.

Can it help with truss problems?

Yes, by the method of joints or sections, showing each joint's free-body diagram and which members are in tension or compression.

Does it explain friction direction?

Yes. Friction opposes the motion or the tendency to move, and the tutor shows which way that is in each case.