Physical quantity - math word problems - last page

Number of problems found: 6648

Vector components
The force R = 12 N is divided into two components, F1 and F2. Their directions make angles α = 30°, β = 45° with the direction R. What are the components F1 and F2?
Inclined plane
On the inclined plane with an inclination angle of 30°, we will put the body (fixed point) with mass 9 kg. Determine the acceleration of the body motion on an inclined plane.
Pyramid - angle
Calculate the regular quadrangular pyramid's surface, the base edge of which is measured 6 cm, and the deviation from the plane of the base's sidewall plane is 50 degrees.
Square equal rhombus
Construct a square that has the same area as a rhombus ABCD if |AB| = 5cm, |AD| = 4cm, and angle |DAB| = 30°.

Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube.
Parallelogram 62084
OPRS parallelogram with OP side 4 cm long, OS side 5 cm long, angle at the top P is 100 °. What is its area?
Forces
In point, G acts three orthogonal forces: F₁ = 16 N, F₂ = 7 N, and F₃ = 6 N. Determine the resultant of F and the angles between F and forces F₁, F₂, and F₃.
Rotation of the Earth
Calculate the circumferential speed of the Earth's surface at a latitude of 34.5°. Consider a globe with a radius of 6378 km.

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