Solving Particle on Slope Problems

Find the acceleration and tension in the string for the system above.

We start by drawing all the forces acting on each particle.

Resolving Perpendicular to the slope for P:

R-3g cos 30=0 rightarrow R=3g cos 30

Applying F=ma for P:

T-%mu R -3gsin 30 =3a

T-3 %mu gcos 30 -3gsin 30 =3a (1)

Applying F=ma for Q

2g-T=2a (2)

  1. +(2)

Then from (2)

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