Question

Sebuah vektor gaya sebesar 40 N membentuk sudut 30° terhadap sumbu x positif. Komponen-komponen vektor tersebut terhadap sumbu x dan sumbu y adalah … N (Sin 30°= 1/2 √3 ; Cos 30°= 1/2) *

Answer 1

Explanation:

Given that the force 40N F acting on the Cartesian x and y coordinates and forming an angle of 30 ° to the positive x-axis, the vector of the force component about the horizontal and vertical axes will be expressed as shown;

For the component force x;

Fx = Fcostheta

You know that F = 40N and theta = 30 °

Fx = 40cos30 °

Fx = 40 * √3 / 2

Fx = 40√3 / 2

Fx = 20√3 N

For the component force y;

Fy = Fsintheta

You know that F = 40N and theta = 30 °

Fy = 40sin30 °

Fy = 40 * 1/2

Fy = 20 N

Therefore, the vector components with respect to the x-axis and the y-axis are 20√3 N and 20N, respectively.