11판/11. 굴림운동, 토크, 각운동량

11-59 할리데이 11판 솔루션 일반물리학

짱세디럭스 2024. 6. 16. 19:47

{IfIi=85% \begin{cases} {I_f\over I_i}&=85\%\\ \end{cases} ΔΣL=0,\Delta \Sigma \vec L=0, 1=LfLi=IfωfIiωi \begin{aligned} 1 &={L_f\over L_i}\\ &={I_f\omega_f\over I_i\omega_i}\\ \end{aligned} ωfωi=IiIf(1){\omega_f\over \omega_i}={I_i\over I_f}\taag1 put {RE:Rotational Kinetic Energy \put \begin{cases} \RE : \text{Rotational Kinetic Energy}\\ \end{cases} Ans=REfREi=12Ifωf212Iiωi2=IfIi(ωfωi)2=IfIi(IiIf)2=IiIf=10085=20171.17647058823529421.2 \begin{aligned} Ans &={\RE_f\over\RE_i}\\ &={{1\over2}I_f{\omega_f}^2\over{1\over2}I_i{\omega_i}^2}\\ &={I_f\over I_i}\cdot\br{\omega_f\over \omega_i}^2\\ &={I_f\over I_i}\cdot\br{I_i\over I_f}^2\\ &={I_i\over I_f}\\ &={100\over85}\\ &={20\over17}\\ &\approx 1.1764705882352942\\ &\approx 1.2\\ \end{aligned}