3.19 The resultant force of a concurrent force system is shown. Determine the magnitude of the two concurrent components if their angles of inclination are known. Problem 3.19 X R = 300 lb F2 30° 45° Y 0 Y F₁ 60° X

The collar has a mass of 3 kg and travels along the smooth horizontal rod defined by the equiangular spiral r = (e) m, where 0 is in radians. (Figure 1) Figure 0 F r = e A Part A Determine the tangential force F and the normal force N acting on the collar when = 40°, if the force F maintains a constant angular motion = 1.5 rad/s. Express your answers in newtons to three significant figures separated by a comma. ► View Available Hint(s) F.N= ΨΕΙ ΑΣΦ | Η Submit Previous Answers vec 3 ➜ O X Incorrect; Try Again; 3 attempts remaining Cred ? Review N

1.) Use the Triangle Rule and the Law of Cosines to find the magnitude of the resultant force FR = F₁+F₂. 1 01 = 30° = 250 lb F₁: 0₂ = 45° F₂ = 375 lb 2.) Utilizing the figure from Problem 1, decompose forces F₁ and F₂ into Cartersian components and find the resultant force FR = F₁ + F2 and the angle of the resultant with respect to the X axis. 1

< A force of 190 pounds makes an angle of 78°26' with a second force. The resultant of the two forces makes an angle of 40°23' to the first force. Find the magnitudes of the second force and of the resultant. The second force has a magnitude of (Round to the nearest integer.) pounds. The resultant force has a magnitude of pounds. (Round to the nearest integer.) 40°23 78°26 190 lb B