11판/11. 굴림운동, 토크, 각운동량

11-26 할리데이 11판 솔루션 일반물리학

짱세디럭스 2024. 5. 16. 21:56
{mA=3.00[kg]vAi=3.00j^[m/s]mB=4.00[kg]M=mA+mB=7.00[kg]vBi=4.50i^[m/s]rP=0.500i^0.100j^[m] \begin{cases} m_A&=3.00\ut{kg}\\ \vec v_{Ai}&=-3.00\j\ut{m/s}\\ m_B&=4.00\ut{kg}\\ M&=m_A+m_B=7.00\ut{kg}\\ \vec v_{Bi}&=4.50\i\ut{m/s}\\ \vec r_P&=-0.500\i-0.100\j\ut{m}\\ \end{cases} ΔΣp=0,\Delta \Sigma \vec p=0, pf=Σpi=mAvAi+mBvBi \begin{aligned} \vec p_f&=\Sigma \vec p_i\\ &=m_A\vec v_{Ai}+m_B\vec v_{Bi}\\ \end{aligned} Lf=r×pf,=r×(Σpi),=r×(mAvAi+mBvBi)=6.30k^[kgm2/s] \begin{aligned} \vec L_f&=\vec r\times\vec p_{f},\\ &=\vec r\times(\Sigma \vec p_i),\\ &=\vec r\times(m_A\vec v_{Ai}+m_B\vec v_{Bi})\\ &=6.30\k\ut{kg\cdot m^2/s}\\ \end{aligned}