**Problem 1:**A uniform thin rod of mass \( m = 4.4 \, \text{kg} \) and length \( L = 1.2 \, \text{m} \) can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are \( F_1 = 4.5 \, \text{N} \), \( F_2 = 4.5 \, \text{N} \), \( F_3 = 12.5 \, \text{N} \), and \( F_4 = 19.5 \, \text{N} \). \( F_2 \) acts a distance \( d = 0.28 \, \text{m} \) from the center of mass.**Diagram Explanation:**The diagram shows a vertical rod with an axle through its center. Four forces are applied:- \( F_1 \) acting horizontally to the right- \( F_2 \) acting at a \( 45^\circ \) angle upward to the right- \( F_3 \) acting at a \( 60^\circ \) angle downward to the left- \( F_4 \) acting vertically downwardThe distance \( d \) from the center to where \( F_2 \) is applied is \( 0.28 \, \text{m} \).---**Part (a):** Calculate the magnitude \( \tau_1 \) of the torque due to force \( F_1 \), in newton meters.\[\tau_1 = \](Provide an interface for calculations, including trigonometric functions and unit selection between degrees and radians.)**Parts (b)-(e):**- **Part (b):** Calculate the magnitude \( \tau_2 \) of the torque due to force \( F_2 \) in newton meters.- **Part (c):** Calculate the magnitude \( \tau_3 \) of the torque due to force \( F_3 \) in newton meters.- **Part (d):** Calculate the magnitude \( \tau_4 \) of the torque due to force \( F_4 \) in newton meters.- **Part (e):** Calculate the angular acceleration \( \alpha \) of the thin rod about its center of

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