Question 4
The model robot has six chambers: head (HD), raised right arm (RA), left arm (LA), body (BD), right leg (RL), left leg (LL). Insert one control block into each chamber, chosen without repetition from 1,2,…,8; the number is its weight. The robot is operational only when:
- The body is the heaviest and the head the lightest of the chosen blocks.
- Balance: right arm plus right leg equals left arm plus left leg.
- The right arm is heavier than the left arm.
- Stability: the right leg is heavier than the right arm; the left leg is heavier than the left arm and heavier than 5.
One example is shown on the right. Find ALL other operational arrangements.
- The body is the heaviest and the head the lightest of the chosen blocks.
- Balance: right arm plus right leg equals left arm plus left leg.
- The right arm is heavier than the left arm.
- Stability: the right leg is heavier than the right arm; the left leg is heavier than the left arm and heavier than 5.
One example is shown on the right. Find ALL other operational arrangements.