Packet I: Bonus 13
The number of degrees of freedom of one of these systems is related to the number of joints by the mobility formula. For 10 points each:
[10h] Name these idealized systems consisting of rigid bodies coupled together by joints.
ANSWER: kinematic chains [or linkages; prompt on mechanisms; prompt on chains]
[10m] If several of these statements for a kinematic chain are redundant, a kinematic chain that the mobility formula predicts to have zero degrees of freedom can still move. Joints are typically modelled as a holonomic one of these statements.
ANSWER: constraints [accept holonomic constraints; accept overconstrained systems or mechanisms]
[10e] Kinematic chains are commonly used to model the manipulators of these machines, which interact with their environment using an end-effector. These autonomous machines are capable of performing complex tasks.
ANSWER: robots [accept robotic manipulators]
<GC, Physics> | Packet I - McGill B, UCLA A, Michigan B, Georgia Tech C, Southampton B
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 62 | 12.10 | 82% | 32% | 7% |
Conversion
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
|---|---|---|---|---|---|---|
| Duke | William and Mary | 0 | 0 | 0 | 0 | |
| James Madison B | Liberty B | 0 | 0 | 10 | 10 | E |
| Liberty C | James Madison A | 0 | 0 | 10 | 10 | E |
| North Carolina B | NC State B | 0 | 0 | 10 | 10 | E |
| North Carolina C | NC State A | 0 | 0 | 10 | 10 | E |
| South Carolina A | Liberty A | 0 | 0 | 10 | 10 | E |
| VCU | South Carolina B | 0 | 0 | 10 | 10 | E |
| Virginia Tech A | North Carolina A | 0 | 10 | 10 | 20 | ME |
| Virginia Tech B | Virginia | 0 | 10 | 0 | 10 | M |
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| California (North) | Main Site | ✓ | 3 | 16.67 | 100% | 67% | 0% |
| Canada | Main Site | ✓ | 1 | 20.00 | 100% | 100% | 0% |
| Florida | Main Site | ✓ | 2 | 10.00 | 100% | 0% | 0% |
| Lower Mid-Atlantic | Main Site | ✓ | 9 | 10.00 | 78% | 22% | 0% |
| Midwest | Main Site | ✓ | 9 | 11.11 | 78% | 22% | 11% |
| Northeast | Main Site | ✓ | 6 | 15.00 | 67% | 50% | 33% |
| Overflow | Main Site | ✓ | 4 | 15.00 | 100% | 50% | 0% |
| South Central | Main Site | ✓ | 2 | 15.00 | 100% | 50% | 0% |
| Southeast | Main Site | ✓ | 7 | 8.57 | 57% | 14% | 14% |
| UK | Main Site | ✓ | 6 | 11.67 | 83% | 33% | 0% |
| Upper Mid-Atlantic | Main Site | ✓ | 9 | 12.22 | 89% | 33% | 0% |
| Upstate NY | Main Site | ✓ | 4 | 12.50 | 100% | 25% | 0% |