A body weighing 2 kg is in a state of calm on an inclined plane with an angle of inclination of 30 degrees
| August 8, 2021 | education
A body weighing 2 kg is in a state of calm on an inclined plane with an angle of inclination of 30 degrees. Determine with what force the plane acts on the body.
To find the force of action of an inclined plane (normal reaction) on a stationary body, we will make a projection of forces on an axis perpendicular to a given inclined plane: ОУ: N = Fт * cosα = m * g * cosα.
Constants and variables: m – mass of a motionless body (m = 2 kg); g – acceleration due to gravity (g ≈ 10 m / s2); α – tilt angle (α = 30º).
Calculation: N = m * g * cosα = 2 * 10 * cos 30º = 17.32 N.
Answer: This inclined plane acts on a stationary body with a force of 17.32 N.
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