Calculate the acceleration with which the body slides off an inclined plane with an inclination angle of 30 degrees

Calculate the acceleration with which the body slides off an inclined plane with an inclination angle of 30 degrees, if the coefficient of friction = 0.2.

The body is affected by such forces as: Gravity, friction and support reaction force. It is necessary to write Newton’s second law in projections on the coordinate axes:
oh —- mgsinl – Ftr = ma
oy —- N -mg cos l = 0 From here, N = mg cos l is determined. It is necessary to substitute in the first equation and it turns out mg sin l – k * N = ma
mg sin l – k * mg cos l = ma
a = g sin l-k * g cos l = 10 * 0.5-0.2 * 0.86 = 3.28m / s ^ 2



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