18 Lecture 18: Central forces and angular momentum
... conservation law is the fact that the problem has spherical symmetry. Rotation around the origin leaves the potential invariant, implying the conservation of angular momentum. In particular, angular momentum conservation implies that motion under central forces will always be confined to a plane. To ...
... conservation law is the fact that the problem has spherical symmetry. Rotation around the origin leaves the potential invariant, implying the conservation of angular momentum. In particular, angular momentum conservation implies that motion under central forces will always be confined to a plane. To ...
Exam 3
... 4. A (spherical) star of radius R = 5×105 km has a rotational period of 60 days. Later in its life, its radius expands to R = 5 × 106 km, though its mass M remains constant. What is the new rotational period after expansion? Presume the star’s moment of inertial is kM R2 at all times. Solution: We c ...
... 4. A (spherical) star of radius R = 5×105 km has a rotational period of 60 days. Later in its life, its radius expands to R = 5 × 106 km, though its mass M remains constant. What is the new rotational period after expansion? Presume the star’s moment of inertial is kM R2 at all times. Solution: We c ...
MATH 231 Kepler`s Second Law
... force. Since the gravitational force on the planet always pulls it directly towards the sun, the resulting torque, which is given as the cross product of this force with the radius vector, will be zero and therefore the angular momentum is constant. Now it can be seen that that the formula for angul ...
... force. Since the gravitational force on the planet always pulls it directly towards the sun, the resulting torque, which is given as the cross product of this force with the radius vector, will be zero and therefore the angular momentum is constant. Now it can be seen that that the formula for angul ...
Rotational Motion
... Use the principle of conservation of energy to verify that gravitational potential energy can be converted into rotational kinetic energy and linear kinetic energy in a simple experiment. Use the principle of conservation of momentum to explain transfer of momentum during a collision of rotating bod ...
... Use the principle of conservation of energy to verify that gravitational potential energy can be converted into rotational kinetic energy and linear kinetic energy in a simple experiment. Use the principle of conservation of momentum to explain transfer of momentum during a collision of rotating bod ...
lecture14
... Moment of Inertia, IA • The sum of squared distances from point A to each other point in the body, and each squared distance is scaled by the mass of each point Ai 2 i A ...
... Moment of Inertia, IA • The sum of squared distances from point A to each other point in the body, and each squared distance is scaled by the mass of each point Ai 2 i A ...
rotation
... We will assume that the axis along which the angular momentum points does not change direction. A baseball curve ball is too hard for us to deal with. Just as we could break the kinetic energy into two parts, so too can we break down the angular momentum: ...
... We will assume that the axis along which the angular momentum points does not change direction. A baseball curve ball is too hard for us to deal with. Just as we could break the kinetic energy into two parts, so too can we break down the angular momentum: ...
25. Rigid Body Moving Freely
... to zero, so from the above equation a couple exerts the same torque about any origin. More generally, the term couple is often used (including by Landau) to refer to any set of forces that add to zero, but give a nonzero torque because of their lines of action, and such a set give the same torque ab ...
... to zero, so from the above equation a couple exerts the same torque about any origin. More generally, the term couple is often used (including by Landau) to refer to any set of forces that add to zero, but give a nonzero torque because of their lines of action, and such a set give the same torque ab ...
PowerPoint
... Moment of Inertia, IA The sum of squared distances from point A to each other point in the body, and each squared distance is scaled by the mass of each point Ai 2 i A m (r ) I ...
... Moment of Inertia, IA The sum of squared distances from point A to each other point in the body, and each squared distance is scaled by the mass of each point Ai 2 i A m (r ) I ...
Rotational Inertia and Angular Momentum
... Because the direction of something rotating is hard to determine, physicists say that the direction of angular momentum is in the plane of the rotation. If this wheel was rotating, we would say its angular momentum is pointed in this direction. So it would want to stay rotating in that direction. ...
... Because the direction of something rotating is hard to determine, physicists say that the direction of angular momentum is in the plane of the rotation. If this wheel was rotating, we would say its angular momentum is pointed in this direction. So it would want to stay rotating in that direction. ...
Rotational Energy and Momentum
... If no net external torques act on a system then the system’s angular momentum, L, remains constant. Speed and radius can change just as long as angular momentum is constant. ...
... If no net external torques act on a system then the system’s angular momentum, L, remains constant. Speed and radius can change just as long as angular momentum is constant. ...
