The resultant if a certain system of forces has x and y components. Determine the components of this resultant with respect to N and T axes rotation 30 degree counterclockwise relative to the x and y axes.

Ans. Rn= 500 lb
Rt= 266 lb

How did it happen?

Get the R which is equal to 566.04lb then the da theta which is equal to 58 deg. den subtract it to 30 deg. u get 28 deg. da other is 62 deg. den get Rn = 566.04cos28 deg which is equal to 500lb den get rt = 566.04cos62 which is equal to 265.7lb or 266 lb

We don't get to know because we do not have the chance of looking at the numerical values in the diagram that you have in front of you.

How did you get the 62 degrees?

cos 62 deg is equal to sin 28 deg.

How did it happen?

The resultant if a certain system of forces has x and y components. Determine the components of this resultant with respect to N and T axes rotation 30 degree counterclockwise relative to the x and y axes.

To determine the components of the resultant with respect to the N and T axes after a 30 degree counterclockwise rotation relative to the x and y axes, we can use vector analysis.

Let's assume that the x and y components of the resultant force are given by Fx and Fy, respectively.

First, we need to find the x and y components of the resultant force after the 30 degree counterclockwise rotation. This can be done by using trigonometry.

The x component of the resultant force, Rn, can be calculated using the formula:
Rn = Fx * cos(30) + Fy * sin(30)

The y component of the resultant force, Rt, can be calculated using the formula:
Rt = -Fx * sin(30) + Fy * cos(30)

By substituting Fx and Fy with their respective values, we can calculate Rn and Rt.

In this case, the resultant force has x and y components. Let's assume Fx = 600 lb and Fy = 200 lb as an example.

Using the above formulas, we can calculate Rn and Rt:

Rn = 600 lb * cos(30) + 200 lb * sin(30) = 519.61 lb
Rt = -600 lb * sin(30) + 200 lb * cos(30) = 346.41 lb

Therefore, the components of the resultant force with respect to the N and T axes are Rn = 519.61 lb and Rt = 346.41 lb, respectively.

Note: In your provided answer, the values are Rn = 500 lb and Rt = 266 lb, which may have different input values for Fx and Fy.