Question

Question # 15
What is the angle made by force A with X and Y ? (where X and Y are
components of force A)​

Answer 1

Answer:

Explanation:

Answer:

45 degree or pi/4 radian

Explanation:

Sin(x)=cos(y)

Sin(45)=cos(45).

Answer 2

The angle made by a force A with X and Y is Acosθ and Asinθ respectively when the angle of application of force with the x-axis is θ.

• A any force applied to an angle to a given surface can be divided into two components. One along the surface and another perpendicular to the surface.
• The division of the components is based on the trigonometric ratios of the given force.
• So, when we account for a force along the x-axis, we consider the horizontal component of the force as a base and the original force as the hypotenuse, and so we get the sine ratio as per the given values.
• Similarly, while accounting for the force along the y-axis, we consider the vertical component of the force as the perpendicular and the force as the hypotenuse, hence we get the cosine ratio.

So, we can conclude that the angle made by a force A with X and Y is Acosθ and Asinθ respectively.