A uniform thin rod of mass m = 3.7 kg and length L = 1.4 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 = 6.5 N, F2 = 3.5 N, F3 = 15 N and F4 = 16.5 N. F2 acts a distance d = 0.22 m from the center of mass. Calculate the magnitude τ1 of the torque due to force F1, in newton meters. Calculate the magnitude τ2 of the torque due to force F2 in newton meters. Calculate the magnitude τ3 of the torque due to force F3 in newton meters. Calculate the magnitude τ4 of the torque due to force F4 in newton meters. Calculate the angular acceleration α of the thin rod about its center of mass in radians per square second. Let the counter-clockwise direction be positive

A uniform thin rod of mass m = 3.7 kg and length L = 1.4 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 = 6.5 N, F2 = 3.5 N, F3 = 15 N and F4 = 16.5 N. F2 acts a distance d = 0.22 m from the center of mass. Calculate the magnitude τ1 of the torque due to force F1, in newton meters. Calculate the magnitude τ2 of the torque due to force F2 in newton meters. Calculate the magnitude τ3 of the torque due to force F3 in newton meters. Calculate the magnitude τ4 of the torque due to force F4 in newton meters. Calculate the angular acceleration α of the thin rod about its center of mass in radians per square second. Let the counter-clockwise direction be positive

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Question

A uniform thin rod of mass m = 3.7 kg and length L = 1.4 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F₁ = 6.5 N, F₂ = 3.5 N, F₃ = 15 N and F₄ = 16.5 N. F₂ acts a distance d = 0.22 m from the center of mass.

Calculate the magnitude τ₁ of the torque due to force F₁, in newton meters.

Calculate the magnitude τ₂ of the torque due to force F₂ in newton meters.

Calculate the magnitude τ₃ of the torque due to force F₃ in newton meters.

Calculate the magnitude τ₄ of the torque due to force F₄ in newton meters.

Calculate the angular acceleration α of the thin rod about its center of mass in radians per square second. Let the counter-clockwise direction be positive.

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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