11판/5. 힘과 운동 I

5-38 할리데이 11판 솔루션 일반물리학

짱세디럭스 2024. 2. 19. 18:37
{m1=2.95[kg]m2=2.40[kg]θ=30.0° \begin{cases} m_1&=2.95\ut{kg}\\ m_2&=2.40\ut{kg}\\ \theta&=30.0\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} {m1gsinθT=m1aTm2g=m2a \begin{cases} m_1g\sin\theta-T &= m_1 a\\ T-m_2g &= m_2 a\\ \end{cases} (a)\ab{a} a=a1=a2=37g2141.695542289719626[m/s2]1.70[m/s2] \begin{aligned} a &= a_1= a_2 \\ &=-\frac{37g}{214}\\ &\approx -1.695542289719626\ut{m/s^2}\\ &\approx -1.70\ut{m/s^2}\\ \end{aligned} (b)\ab{b} yy- (c)\ab{c} T=1062g53519.4666585046729[N]19.5[N] \begin{aligned} T &= \frac{1062g}{535}\\ &\approx 19.4666585046729\ut{N}\\ &\approx 19.5\ut{N}\\ \end{aligned}