The t-component of the force F is known to be 75 N. Determine the n-component and the magnitude of F. F n 10° 30° y X The problem has not been provided with a coordinates, so defined the coordinates first as shown. We can then define the involved vectors: F= |F|e= |F|(cos10°^- sin1001) t=1e cos300+ sin30°^ = ñ = 1e₁₁ = −cos60ºıˆ+ sin60ºƒ^ A small probe P is gently forced against the circular surface with a vertical force F as shown. Determine the n- and t-components of this force as functions of the horizontal position s. P The problem has not been provided with a coordinates, so defined the coordinates first as shown. We can then define the involved vectors: F = |F|eˆ= −|\F\J^ tle cosα- sinaj^ n = len = sinaiˆ+ cosaj^ Where S cosa = ; sina = r r X The t component of the force F is = F · t = -|F|j (cosa sinaj) = |F|sina ==|F|