(Solved): I hope it will be solved by handwritten. For the following 4-bar mechanism (not to scale) \( r_{1}=3 ...

For the following 4-bar mechanism (not to scale) \( r_{1}=30 \mathrm{~cm}, r_{2}=15 \mathrm{~cm}, r_{3}=28 \mathrm{~cm} \), \( r_{4}=24 \mathrm{~cm} \), and \( \theta_{2}=75^{\circ} \). A student used the Newton-Raphson method to solve the position problem and find angles of link 3 and link 4 . He started from the following guess of these angles: \( \theta_{3}^{(0)}=10^{\circ} \) and \( \theta_{4}^{(0)}=100^{\circ} \). 1. Calculate the \( \theta_{3}^{(1)} \) and \( \theta_{4}^{(1)} \) the values of link 3 and link 4 angles at step 1 . 2. Decide if he should go to the second step or stop in the first step.