Angular Momentum
... • In linear motion, net force and mass determine the acceleration of an object. • For rotational motion, torque determines the rotational acceleration. • The rotational counterpart to mass is rotational inertia or moment of inertia. – Just as mass represents the resistance to a change in linear moti ...
... • In linear motion, net force and mass determine the acceleration of an object. • For rotational motion, torque determines the rotational acceleration. • The rotational counterpart to mass is rotational inertia or moment of inertia. – Just as mass represents the resistance to a change in linear moti ...
Final Solution-Phy 105-Fall2011-1
... c) Calculate the work done to spin the ring at w 50rpm about its diameter. 2) Solution: a) All parts of the ring are at the same distance R from the axis of rotation passing through its CM at its center and perpendicular to its plane. We consider a small part of the ring of mass mi located betwe ...
... c) Calculate the work done to spin the ring at w 50rpm about its diameter. 2) Solution: a) All parts of the ring are at the same distance R from the axis of rotation passing through its CM at its center and perpendicular to its plane. We consider a small part of the ring of mass mi located betwe ...
Plane Kinetics of Rigid Bodies
... Example: A concrete block is lifted by hoisting mechanism in which the cables are securely wrapped around the respective drums. The drums are fastened together and rotate as a single unit @ their mass center at O. Combined mass of drum is 150 kg, and radius of gyration @ O is 450 mm. A constant tens ...
... Example: A concrete block is lifted by hoisting mechanism in which the cables are securely wrapped around the respective drums. The drums are fastened together and rotate as a single unit @ their mass center at O. Combined mass of drum is 150 kg, and radius of gyration @ O is 450 mm. A constant tens ...
Rotational Equilibrium and Dynamics - Faculty
... Here, τ1 , τ2 , τs , and τn are the torques of mass 1, mass 2, the mass of the seesaw, and the normal force, respectively. Mass m1 = 42 kg and m2 = 34 kg. The lever arm on mass 1 is x1 = 1.4 m. We want to find the lever arm on mass 2, which will be the distance that the second child is from the fulc ...
... Here, τ1 , τ2 , τs , and τn are the torques of mass 1, mass 2, the mass of the seesaw, and the normal force, respectively. Mass m1 = 42 kg and m2 = 34 kg. The lever arm on mass 1 is x1 = 1.4 m. We want to find the lever arm on mass 2, which will be the distance that the second child is from the fulc ...
PLANAR KINETICS OF A RIGID BODY FORCE AND ACCELERATION
... on the body can then be projected onto the plane. An example of an arbitrary body of this type is shown in the figure below. Here the inertial frame of reference x, y, z has its origin coincident with the arbitrary point P in the body. By definition these axes do not rotate and are either fixed or t ...
... on the body can then be projected onto the plane. An example of an arbitrary body of this type is shown in the figure below. Here the inertial frame of reference x, y, z has its origin coincident with the arbitrary point P in the body. By definition these axes do not rotate and are either fixed or t ...
Rotational Motion - University of Colorado Boulder
... More generally, when axis not fixed, we define vector angular velocity with direction = the direction of the axis + "right hand rule". Curl fingers of right hand around rotation, thumb points in direction of vector. ...
... More generally, when axis not fixed, we define vector angular velocity with direction = the direction of the axis + "right hand rule". Curl fingers of right hand around rotation, thumb points in direction of vector. ...
Dynamics
... If a torque acts on a body that can rotate freely about some axis, the body will undergo an angular acceleration. The ratio of the applied torque to the resulting angular acceleration is the rotational inertia of the body. It depends not only on the mass of the body, but also on how that mass is dis ...
... If a torque acts on a body that can rotate freely about some axis, the body will undergo an angular acceleration. The ratio of the applied torque to the resulting angular acceleration is the rotational inertia of the body. It depends not only on the mass of the body, but also on how that mass is dis ...
AngularPhysics
... For each force, compute the induced torque and add it to the total torque Divide total torque by ICM to get angular acceleration Numerically integrate linear and angular acceleration to update position, linear velocity, orientation, angular velocity Redraw object ...
... For each force, compute the induced torque and add it to the total torque Divide total torque by ICM to get angular acceleration Numerically integrate linear and angular acceleration to update position, linear velocity, orientation, angular velocity Redraw object ...
Concept Questions
... Answer 3. Energy is not conserved because there are energy losses due to kinetic friction. Angular momentum about the center of mass is not constant because the friction exerts a torque about the center of mass. Angular momentum about a fixed point on the ground is constant because the sum of the to ...
... Answer 3. Energy is not conserved because there are energy losses due to kinetic friction. Angular momentum about the center of mass is not constant because the friction exerts a torque about the center of mass. Angular momentum about a fixed point on the ground is constant because the sum of the to ...