Ok,
(1) I confused 'contact point' and 'center of mass'.
For the center of mass, I think, is as follows in the rotaional coordinate system,
4-1-1 md omega^2 = mg sin theta - F
4-2-1 md d/dt(omega) = R - mg cos theta
(2) If no slip, normal force can become zero only when the rod...
Thank for your comments.
v_1 is the velocity along the rod (-F), and v_2 is the velocity in the direction of normal force(R). As you said, both velocities are 0 when maintainig contact.
"You only have a linear displacement and, until contact is lost, an angular velocity about the contact...
I tried to solve the problem like this.
4-1. m d/dt (v_1) = mg sin(theta) - F
4-2. m d/dt (v_2) = R - mg cos(theta)
If there is no slip, v_1 = v_2 = 0, so
F= mg sin(theta), R= mg cos(theta).
In the rotational motion equation, we intergrate
5-1. I omega^2 = 2dmg ( sin theta_f -...
Hi!
I am a high school physics teacher in Korea.
I have a question for you, a physics expert.
A rod that falls while rotating from the end of a table
A rod of mass m and length L is inclined by theta o (thera_o > 0) when the center of the rod is in contact with the end of the table, and the...