The body slides down an inclined plane with an inclination angle of 60 degrees. The coefficient of friction of the body

The body slides down an inclined plane with an inclination angle of 60 degrees. The coefficient of friction of the body on the plane is 0.5 to determine the acceleration of this body.

To find the acceleration with which the body should slide along an inclined plane, we will compose the projection of the forces on the plane: m * a = Ft * sinα – Ftr = m * g * sinα – μ * N = m * g * sinα – μ * m * g * cosα, whence we express: a = g * sinα – μ * g * cosα.

Variables and constants: g – gravitational acceleration (g ≈ 10 m / s2); α – angle of inclination of the plane (α = 60º); μ – coefficient of friction (μ = 0.5).

Calculation: a = g * sinα – μ * g * cosα = 10 * sin 60º – 0.5 * 10 * cos 60º = 6.16 m / s2.

Answer: The body should slide with an acceleration of 6.16 m / s2.