Calculate the acceleration with which the body slides off an inclined plane with an inclination angle of 30 degrees
November 19, 2020 | education
| 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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