FS Registration quiz

Calculate the force FBx for the given bracket when a force F=500 N is applied at the point of the thick red arrow, given the dimensions l1=35mm and l2=45mm. Answer in Newton and round to first integer.

A logic plan with the five logic valued inputs A, B, C, D and E is shown in the picture. How many possible input compinations result in a logic false at the output Z?

A driver, driving a 210 kg car, is racing with a speed of 50 km/h and hits a standing cone which weighs 0.8 kg. Due to the impact the car instantly slows down to a speed of 49.5 km/h. The cone is thrown away with a speed and hits another identical, standing cone and comes to a halt. Which is the speed of the second cone right after the impact? Assume both impacts are ideal and completely elastic.

A homogeneous bar of weight W=300 N is bent at point A to form a right angle. The lengths of the two segments are linked by the relation: (AC)=2(AD). The bar is hanged from point A by a string, the other end of which is attached to a ceiling. What weight must be hung from the end D so that the bar is balanced and its two legs make the same angle φ with the horizontal direction?

Last year Imagine Dragons did a concert in London, where in the last row of seats the sound pressure level was 100 dB. In the next concert in Athens, due to a failure in the sound equipment, the sound pressure level in the last row of seats was 97 dB. What's the ratio of the last row sound pressure in London to last row sound pressure in Athens? Assume that both concert halls are identical. Round up in two decimals.

A tap with flow rate P1 = 12L/min fills a cylindrical barrel with base area A = 1000cm^2 in t1= 3min. A second tap of circular cross section with radius r2 = 2/√𝜋 cm and flow velocity u2 = 15m/min is used to fill the same barrel. Calculate the time(in mins) it takes to fill the barrel if we use both taps at the same time. Density of water is given 1g/cm^3.

An ambulance moving at a constant speed υs = 25m/s on a straight road has its siren activated and emits a sound of frequency fs = 945Hz. In the direction of movement of the ambulance there are: a cyclist A who moves towards the ambulance with a speed υA = 10m/s and is in front of it and a motorcyclist B who moves against the ambulance with a constant speed υB and is in front of it. Regarding sound frequencies fA , fB perceived by the cyclist and the motorcyclist respectively, fΑ/fΒ = 33/37 applies. Find the absolute speed of the motorcyclist uB.

Team A had 3 runs and a DNF in Autocross event. In the first run the corrected elapsed time was 57.2 sec with 1 DOO. In the second and third try, when Team A finished, the stopwatch showed 56.4 sec and 55.8 sec with 2 and 1 hitted cones respectively. On the other hand, Team B had also 3 runs in the same event, with the non-corrected elapsed time in the first one being 55.6 sec with 1 fallen cone. For the second run, stopwatch showed 56.1 sec with a missed slalom and for the third one the corrected time was 61.3 sec with two fallen cones. What is the absolute point difference between Team A and Team B if the best corrected elapsed time in the event was 56.4 sec? Round up in two decimal places.

A wheel of radius R rolls without slipping in a horizontal plane. At some instant the center of mass of the wheel has a velocity of Ucm. Let A be the upper point of the wheel's circumference and C a point of the wheel located on the horizontal diameter and at a distance CK = R/2 from the center K of the wheel. What is the ratio of velocity C to velocity A? Round up in three decimal places.

Select the false statements:

The “H”-type shoulder harness configuration is allowed

A jam nut can be used as a device to prevent loosening of the nut and the wheel

Vehicle numbers must have Roman Sans-Serif font characters

The hand cart firewall must be at least 20 cm higher than the hand cart handle and the TSAC

Any aerodynamic device must be able to withstand a force of 50N applied in any direction at any point

Vehicles with wings are required to have two team members walking on either side of the vehicle

The maximum restrictor diameter that a CV with E85 fuel must have is 20mm

The maximum score that can be awarded in the Deep Dive Topic category in BPP are 10 points

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