Mounted Linear
Ive been working on the physics problem and can’t get the correct answer?!?!?! Help?
A very thin 1.0 kg disk with diameter 80 cm is mounted horizontally to rotate freely about a central vertical axis. On the edge of the disk, sticking out a little, is a small, essentially massless tab, or “catcher.” A 1.0 g wad of clay is fired at a speed of 10.0 m/s directly at the tab, perpendicular to it, and tangent to the disk. The clay sticks to the tab, which is initially at rest.
1.What is the moment of inertia of the clay about the axis?
Answer in kg·m2
2.What is the moment of inertia of the disk about the axis?
Answer in kg·m2
3.What is the moment of inertia of both the clay and the disk about the axis?
Answer in kg·m2
4.What is the linear momentum of the clay before impact?
Answer in kg·m/s
5.What is the angular momentum of the clay just before impact?
Answer in kg·m2/s
6.What is the angular speed of the disk after impact?
Answer in rad/s
1. Ic = m*r² = .001*.40² = .00016 kg∙ m²
2. Id = ½M*r² = ½*1.0*.4² = .08 kg∙ m²
3. I = Ic+Id = .08016 kg∙m²
4. Pc = m*v = .001*10 = .01 kg∙m/s
5. Lc = Pc*r = .01*.4 = .004 kg∙m²/s
6. wd = Lc/I = .004/.08016 = .05 rad/sec
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