Consider a small frictionless puck perched at the top of a fixed sphere of radius R. If the puck is given a tiny nudge so that is begins to slide down, through what vertical hight will it descend before it leaves the surface of the sphere?[Hint: Use conservation of energy to find the puck's speed as a function of its height, then use Newton's second law to find the normal force of the sphere on the puck. At what value of this normal force does the puck leave the sphere?]
Solution Preview
Hello and thank you for posting your question to Brainmass.
The solution is attached below in two files identical in content but differ in format (MS-word and pdf) so you can choose the more suitable ...
Solution Summary
Consider a small frictionless puck perched at the top of a fixed sphere of radius R. If the puck is given a tiny nudge so that is begins to slide down, through what vertical hight will it descend before it leaves the surface of the sphere?[Hint: Use conservation of energy to find the puck's speed as a function of its height, then use Newton's second law to find the normal force of the sphere on the puck. At what value of this normal force does the puck leave the sphere?]
Rotational Motion: conservation of angular momentum, energy. ... (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum. ...
Rotational Motion: Angular momentum and Torque. ...Angular momentum: Angular moment to rotational motion is as linear momentum is to translational motion. ...
... A. Its angular velocity decreases. B. Its angular momentum increases. C. Its angular velocity remains constant. D. Its angular momentum remains constant. ...
... by the Cartesian coordinates (x,y,z) = X and their conjugate momenta (px, py, pz) = p. The classical definition of the orbital angular momentum of such a ...
... The angular momentum is given by: ... 4) Note that the angular velocity stays constant. ... The time derivatives of the momenta are the forces exerted on the bodies: ...
