Fy=mg-FT =may (Eqn. 1) Fy=mg-FT =may (Eqn. 1)
STEPS: 5. Okay, now we’re ready to collect data. Let’s vary one quantity at a time. Press reset, and then select the middle value for the spindle and the moment of inertia of the platter (so r = 0.03 m and I = 0.04 kg * m2). Now select the 1 kg hanging mass. Hit start. In an excel table, record all the data you obtain at these conditions: time (s), Dy (m), Dq (rad), v (m/s), w (rad/s), a (m/s2), and a (rad/s2).

6. Repeat step #5 for the 2 kg hanging mass, and then again for the 3 kg hanging mass.

7. Now vary the spindle radius, while keeping the hanging mass constant at 2 kg and the platter’s moment of inertia constant at I = 0.04 kg * m2. Try first the small radius (0.02 m), then hit reset and try the large radius (0.04 m). In each case, collect all the data yielded by the simulation: Time (s), Dy (m), Dq (rad), v (m/s), w (rad/s), a (m/s2), and a (rad/s2). You already have data for the spindle radius of 0.03 m.

8. Lastly, let’s vary the moment of inertia of the platter. Keep the hanging mass constant at 2 kg and spindle radius constant at 0.03 m. Collect all the data yielded by the simulation, first for the I= 0.02 kg * m2 platter, and then for the I = 0.06 kg * m2 platter: Time (s), Dy (m), Dq (rad), v(m/s), w (rad/s), a (m/s2), and a (rad/s2). You already have data for the I = 0.04 kg * m2 platter.

QUESTIONS:

1. Using data from one of your runs, solve for FT using equation 1. Then insert your FT into equation 2, along with the spindle’s radius, and calculate a. Is it consistent with the a you obtained from your simulation? Show me.

2. What happens to this value of FT as mass increases (for a given spindle radius and base plate moment of inertia)?

3. What happens to linear acceleration as you increase the hanging mass (for a given spindle radius and base plate moment of inertia)?

4. What happens to linear acceleration as you increase the spindle radius (for a given value of hanging mass and base plate moment of inertia)?

5. What happens to linear acceleration as you increase the moment of inertia (for a given value of hanging mass and base plate moment of inertia)?

6. With data from one of your runs, show me a mathematical relationship between your Dq (rad), angular velocity w (rad/s), and angular acceleration (a) values (rad/s2). Use your knowledge from this chapter.

7. With data from one of your runs, show me a mathematical relationship between your velocity (m/s) and angular velocity (w) values. Use your knowledge from this chapter.

8. Combine equations 1 and 2 to solve for linear acceleration in terms of the other quantities. Please help