2/6 the control rod ap exerts a force f on the sector as shown. determine both the x - y and the n - t…

Explanation:

Step1: Find x - component of force

The x - component of the force (F) can be found using the angle (\alpha) and (\beta). The x - component (F_x) is given by (F_x=-F\cos\beta\sin\alpha).

Step2: Find y - component of force

The y - component of the force (F) is given by (F_y = F\cos\beta\cos\alpha).

Step3: Find n - component of force

The n - component of the force (F) is (F_n=F\sin\beta).

Step4: Find t - component of force

The t - component of the force (F) is (F_t = 0) (since there is no force acting along the tangential direction in the given problem setup related to the (n - t) coordinate system shown).

Answer:

(F_x=-F\cos\beta\sin\alpha), (F_y = F\cos\beta\cos\alpha), (F_n=F\sin\beta), (F_t = 0)