There is a barrel with a height of 1 m and a distance of 0.6 m in the body

There is a barrel with a height of 1 m and a distance of 0.6 m in the body of the car at what maximum angle of inclination the barrel will not tip over

Task data: h (height of the specified barrel) = 1 m; d (barrel diameter) = 0.6 m.

The section of the barrel is a rectangle.

At the maximum angle of inclination of the indicated barrel, the gravity vector will pass through the extreme point of the barrel base (the gravity vector lies on the diagonal of the rectangle).

Consider a right-angled triangle: the hypotenuse is the diagonal of the rectangle, the legs are the height and diameter of the barrel. Tilt Angle – the angle opposite the base of the barrel.

Formula: tgα = d / h = 0.6 / 1; α = arctan 0.6 = 30º58 ‘.

Answer: The maximum angle of inclination of the indicated barrel is 30º58 ‘.