11판/5. 힘과 운동 I

5-48 할리데이 11판 솔루션 일반물리학

짱세디럭스 2024. 2. 21. 19:33
$$ \begin{cases} T_3&=95.0\ut{N}\\ m_1&=10.0\ut{kg}\\ m_2&=14.0\ut{kg}\\ m_3&=23.0\ut{kg} \end{cases} $$ $$\Sigma \vec F = m\vec a,$$ $$ \begin{cases} \Sigma F_1 &= m_1 a\\ \Sigma F_2 &= m_2 a\\ \Sigma F_3 &= m_3 a\\ \end{cases} $$ $$ \begin{cases} T_1 &= m_1 a\\ T_2-T_1 &= m_2 a\\ T_3-T_2 &= m_3 a\\ \end{cases} $$ $$\ab{a}$$ $$ \begin{aligned} a&=\frac{95}{47}\ut{m/s^2}\\ &\approx 2.021276595744681\ut{m/s^2}\\ &\approx 2.02\ut{m/s^2}\\ \end{aligned} $$ $$\ab{b}$$ $$ \begin{aligned} T_1&=\frac{950}{47}\ut{N}\\ &\approx 20.21276595744681\ut{N}\\ &\approx 20.2\ut{N}\\ \end{aligned} $$ $$\ab{c}$$ $$ \begin{aligned} T_2&=\frac{2280}{47}\ut{N}\\ &\approx 48.51063829787234\ut{N}\\ &\approx 48.5\ut{N}\\ \end{aligned} $$