A uniform thin rod of mass m = 3.7 kg and length L = 1.9 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F₁ = 9.5 N, F₂ = 2.5 N, F₃ = 13 N and F₄ = 18.5 N. F₂ acts a distance d = 0.21 m from the center of mass.

(9%) Problem 8: A uniform thin rod of mass m = 3.7 kg and length L = 1.9 m can rotate about an axle through its center. Four forces are acting on it as shown in the gure. Their magnitudes are F] = 9.5 N, F 2 = 2.5 N, F3 = 13 N and F4 = 18.5 N. F2 acts a distance d = 0.21 In from the center of mass. A 20% Part (a) Calculate the magnitude 1:1 of the torque due to force F], in newton meters. Grade Summary I1 = I Deductions Potential 100% Sin() cos() tan() Submissions . . Attempts remaining: _ cotan() acos() ( Per attempt) atanO SinhO detailed view cosh() tanh() cotanh() Degrees O Radians Submit | Hint | | Hints: deduction per hint Hints remaining: _ Feedback: deduction per feedback. A 20% Part (b) Calculate the magnitude 1:2 of the torque due to force F 2 in newton meters. A 20% Part (c) Calculate the magnitude T3 of the torque due to force F 3 in newton meters. A 20% Part (d) Calculate the magnitude 1:4 of the torque due to force F4 in newton meters. Ag 20% Part (e) Calculate the angular acceleration a of the thin rod about its center of mass in radians per square second. Let the counter-clockwise direction be positive