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第 11 章

回転運動の力学

トルク
トルク
Torque is an important quantity for describing the dynamics of a rotating rigid body. We see the application of torque in many ways in the world, such as ...
正味トルクの計算
正味トルクの計算
When a mechanic tries to remove a hex nut with a wrench, it is easier if the force is applied at the farthest end of the wrench handle. The lever arm is ...
回転力学の方程式
回転力学の方程式
Angular variables are introduced in rotational dynamics. Comparing the definitions of angular variables with the definitions of linear kinematic ...
滑らずに転がる
滑らずに転がる
People have observed the rolling motion without slipping ever since the invention of the wheel. For example, one can look at the interaction between a ...
スリップで転がる
スリップで転がる
Rolling with slipping is a physical phenomenon that occurs when a rolling object experiences both rotational and linear motion but also experiences ...
回転運動のための仕事と力
回転運動のための仕事と力
Work and power in rotational motion are completely analogous to work and power in translational motion. The total work done to rotate a rigid body through ...
回転運動のための仕事エネルギー定理
回転運動のための仕事エネルギー定理
The work-energy theorem for rotational motion is analogous to the work-energy theorem in translational motion. It states that the net work done by an ...
角運動量: 単一粒子
角運動量: 単一粒子
Angular momentum is directed perpendicular to the plane of the rotation, and its magnitude depends on the choice of the origin. The perpendicular vector ...
角運動量: 剛体
角運動量: 剛体
The total angular momentum of a rigid body can be calculated using the summation of the angular momentum of all the tiny particles rotating in the same ...
角運動量の保存
角運動量の保存
A system's total angular momentum remains constant if the net external torque acting on the system is zero. Considering a system that consists of n ...
角運動量の保存:応用
角運動量の保存:応用
A system's total angular momentum remains constant if the net external torque acting on the system is zero. Examples of such systems include a freely ...
非対称トップの回転
非対称トップの回転
By definition, a spherically symmetric body has the same moment of inertia about any axis passing through its center of mass. This situation changes if ...
ジャイロスコープ
ジャイロスコープ
A gyroscope is defined as a spinning disk in which the axis of rotation is free to assume any orientation. When spinning, the orientation of the spin axis ...
ジャイロスコープ:歳差運動
ジャイロスコープ:歳差運動
Precession can be demonstrated effectively through a spinning top. If a spinning top is placed on a flat surface near the surface of the Earth at a ...
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