24_01_FSG_MB

A detailed and engaging illustration of mechanical engineering concepts, showcasing gears, pipes, and a dynamic cat figure representing balance and motion.

Mechanical Engineering Challenge Quiz

Test your knowledge in mechanical engineering with this comprehensive 10-question quiz designed for aspiring engineers and enthusiasts. Dive into a range of topics including mechanics, dynamics, and design principles to see how well you understand the fundamentals!

  • Assess your engineering skills.
  • Covering various mechanical concepts.
  • Suitable for students and professionals alike.
10 Questions2 MinutesCreated by CalculatingCat247
1.

The shown gears have weight forces of G1=40N, G2=60N, G3=35N, G4=55N. The weight of the shaft can be neglected. The distances are as follow: a=110mm, b=100mm, c=150mm and e=55mm.

Calculate the force in bearing point FB in Newton! Round the solution to one decimal place. 

2.

The coupling of two rods with a tensile load of 80 kN is realized by flanges which are connected by 4 screws. All screws. All screws are oriented in the direction of the tensile load. Which screw core diameter must be at least present if the allowable tension stress is 32N/mm²?
Enter the result of the screw core diameter in millimeter. Round solution to one decimal place.
Enter the minimal possible ISO metric screwthread according to DIN 13-1 (Column 1, First Choice) / ISO 262 (Column 1, First Choice): (Mxx)
Give your answer in the following format: screw core diameter (Space) ISO metric screw thread. Example: if the screw core diameter is 12,3mm and the ISO metric screw thread is M12 then use 12.3 (Space) 12 as answer value

3. A Main Hoop is designed  out of a  close section steel tube with an outside diameter of 30mm and a wall thickness of 2.5mm. Please enter the minimum bending radius in millimeter. 
4. An incompressible medium is flowing through a pipe with 27mm inner diameter. To what diameter in millimeter must the pipe be tapered so that the flow speed doubles. Consider a flow speed far below the speed of sound, and neglect all losses. Round the solution to one decimal place. 
5.

According to the FS Rules and the competition handbook: Which statements are true?

All vehicles must be equipped with a brake system plausibility device
Critical fasteners must not be shortened
All signal failures of system critical signals must result in an opened shutdown circuit
The tilt test simulates a lateral acceleration of 1.6g (rounded to one decimal place)
A black flag shows a disqualification to the driver
Each driver may drive up to two dynamic events
6.

Three-legged cat

The cat of an FSA technical inspector stays away from balconies but has lost a leg in a terrible racing accident.

The simplified mechanical model of the cat consists of a solid body (B_1) that represents the head, torso and legs.

The body B_1 has the mass m and the dimensions that can be taken from the sketch (top view of the cat).

The 3 legs are assumed to be vertical bars. The cat’s tail is modeled as a beam B_2 with the line load q.

This is connected at the height of the center of gravity with B_1 and can be pivoted in the horizontal plane.

The cat moves its tail by the angle alpha to the right. Which of the following statements is true?



The cat is in an unstable equilibrium
The cat loses stability and falls over to the left
The cat loses stability and falls over to the right
The cat is in an stable equilibrium
7. During Autocross, a Formula Student vehicle accelerates from 30km/h to 100km/h.
Assume that there is no friction and no aerodynamic drag.
The mass of the vehicle is m=200kg.
The amount of energy needed for this acceleration is denoted by E.
What would be the theoretical velocity Vc if the vehicle is accelerated from standstill using the same amount of energy E?

What would be the theoretical velocity Vf of Fred, the FSG race Alpaka as shown in the picture, accelerating from standstill and using 1/10th of the energy E?
Fred’s initial mass in standstill is 50 kg. When reaching 20km/h, Fred will loose 750g of mass in no time.
Assume, that the lost mass does not provide any thrust and has no initial relative velocity with respect to Fred. Fred is free of friction and aerodynamic drag.

Round both solutions to one decimal place. Give the solution in the following format: Vc (space) Vf, e.g. 1.2 (Space) 3.4

8.

A thin-walled (t<<a) cross-section is shown in the figure in gray. All relevant dimensions are given in the drawing. The drawing itself is not to scale. Calculate the second moment of area of the cross-section about the x-axis through point 0 using the thin-walled assumption and resulting simplification.

Enter the exact solution: Ixx= … a³t?

9. Cats on a String At FSA 2020, three cats, Kitty (5kg), Mauzi (3kg) and Schnurli (4kg), are climbing up and down along a rope. At a certian moment Kitty descends with an acceleration of 1.6 m/s², Schnurli pulls herself up with an acceleration of 90 Gal, while Mauzi climbs up with the constant speed of 1.968 feet/s. What is the load on the rope hanger at this moment (in Newton)? (mass of the rope neglected, consider gravity g=9.08665 m/s²) round to first decimal.
10.

An idealized FSE vehicle is driven by 4 identical, idel wheel hub drives (no losses, no inertia) and has a weight distribution of 50/50.

The aerodynamic balance is 50/50 as well and independent from vehicle speed.

The following diagram shows the wheel torque (of one single wheel) T over the vehicle speed v for a perfect full acceleration without wheel slip.

Calculate v1 and v2 as shown in the picture in km/h.

Dynamic load transfer is neglected. The motor is assumed to be limited only by its maximum torque and maximum power.

Round both solutions to one decimal place. Give the solution in the following format: v1 (Space) v2, e.g 1.2 (Space) 3.4

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