**Subpart 2: Set up Newton's Second Law Equations**(i) Newton’s Second Law for \( m_1 \) in terms of weights of the blocks, \( m_1 g \), and \( m_2 g \), the tension in the string \( T \) and the normal reaction \( N_1 \) of the table on \( m_1 \) can be written as (use the coordinate axes for signs of different forces):\[ \sum F_x = T \quad \text{(Correct ✓)} = m_1 a_{1,x} \]\[ \sum F_y = 0 \quad \text{(Incorrect ✗)} = m_1 a_{1,y} \](ii) Newton’s Second Law for \( m_2 \) in terms of weights of the blocks, \( m_1 g \), and \( m_2 g \), the tension in the string \( T \) and the normal reaction \( N_1 \) of the table on \( m_1 \) can be written as:Note: The motion of \( m_2 \) is along the y-direction only.\[ \sum F_y = m_2 g - m_2 a_{2,y} \quad \text{(Incorrect ✗)} = m_2 a_{2,y} \]

Answered: Image /qna-images/answer/fa3caeec-4e84-4d94-953b-a8dd2ccf9b9f.jpg

Subpart 2: Set up Newton's Second Law Equations (i) Newton's Second Law for m, in terms of weights of the blocks, m₁g, and m₂g, the tension in the string 7 and the normal reaction N₁ of the table on m, can be written as (use the coordinate axes for signs of different forces): ΣFx= T ΣFy= 0 X =m₁a₁₁x =m₁a₁₁y (ii) Newton's Second Law for m₂ in terms of weights of the blocks, m₁g, and m₂g, the tension in the string T and the normal reaction N₁ of the table on m, can be written as: Note: The motion of m₂ is along the y-direction only. ΣF,= m₂g-m₂a2,y ✔=m₂a2,y

Subpart 2: Set up Newton's Second Law Equations (i) Newton's Second Law for m, in terms of weights of the blocks, m₁g, and m₂g, the tension in the string 7 and the normal reaction N₁ of the table on m, can be written as (use the coordinate axes for signs of different forces): ΣFx= T ΣFy= 0 X =m₁a₁₁x =m₁a₁₁y (ii) Newton's Second Law for m₂ in terms of weights of the blocks, m₁g, and m₂g, the tension in the string T and the normal reaction N₁ of the table on m, can be written as: Note: The motion of m₂ is along the y-direction only. ΣF,= m₂g-m₂a2,y ✔=m₂a2,y