Annie and Tompa meet during this year's AP&T tug-of-war final. Annie heads north pulling with 32 kg and Tompa heads south pulling with 16 kg. The rope is a Ø20 mm 4-strand hemp rope. E-module hemp = 2500 N/mm2.
1. What is true regarding the effect on the rope when pulled?
2. How much longer is the hemp rope during the tug-of-war?
3. What is the impact on the rope if we halve the diameter and change the material from hemp to nylon? E-module for nylon = 3000 N/mm2?Select all correct answers.
4. What is the tension if we double the cross-sectional area of the hemp rope? The tension in case 1, hemp is σ1.Select all the correct answers.
During an empirical brittleness test, Annie throws a cog plate into the air. The plate weighs 200 grams.
5. What acceleration (|a|) does it have after t=1 second at height h=1m. The maximum speed on the plate's trajectory is 2 m/s. Air resistance can be ignored.
6. For some reason, Annie decides to throw her laptop into the air to compare the results. The turning position (h max) of its elliptical trajectory is 5 m. What vertical speed does the laptop have when it lands on a table that is 1 m high, 8 m away. The maximum speed of the trajectory is 8 m/s.
7. Case in question 6. In which direction does the laptop accelerate after t=1 seconds.
AP&T's SF60 delivered to a customer is to be equipped with a gripper. The gripper is 1000 mm long and is firmly clamped at one end. The gripper tube is a steel square tube 40*40 mm with thickness 1.5 mm. The pipe has sharp edges. A 20 kg weight is hanging from the end of the pipe.
10. Which of the deflections below do is correct? Data comes from a measurement study. Weight not included.
11. What is the maximum vertical acceleration if deflection must not exceed 10 mm?