11판/5. 힘과 운동 I

5-51 할리데이 11판 솔루션 일반물리학

짱세디럭스 2024. 2. 22. 17:58
{m1=4.00[kg]m2=3.00[kg]θ1=25.0°θ2=65.0° \begin{cases} m_1&=4.00\ut{kg}\\ m_2&=3.00\ut{kg}\\ \theta_1&=25.0\degree\\ \theta_2&=65.0\degree\\ \end{cases} ΣF=ma,\Sigma \vec F = m\vec a, {ΣF1=m1aΣF2=m2a \begin{cases} \Sigma F_1 &= m_1 a\\ \Sigma F_2 &= m_2 a\\ \end{cases} {Tm1gsinθ1=m1am2gsinθ2T=m2a \begin{cases} T-m_1g\sin\theta_1 &= m_1 a\\ m_2g\sin\theta_2-T &= m_2 a\\ \end{cases} T=m1g(sinθ1+sinθ2)52.12925054496957[N]52.1[N] \begin{aligned} T&= m_1 g(\sin\theta _1+ \sin \theta _2)\\ &\approx 52.12925054496957\ut{N}\\ &\approx 52.1\ut{N}\\ \end{aligned}