Juli FSG

The Aristurtle team is on a winter vacation in the Alps. Twenty brave members decide to take the aerial tramway ride. The cabin of a aerial tramway can carry up to 20 people with a total mass of 2021 kg. The cabin rises at a constant speed from the base of the mountain at 2022m to the top at 3650m.

Use g=9.80

a) How much work is produced by the engine to move the cab up the mountain? (Answer in MJ, one decimal)

b) How much work does the force of gravity in the cabin produce?
(Answer in MJ, one decimal)

c) If the engine can produce 18% more work than it does in case a, what will be the acceleration of the cab? (Two decimals)

 

Please, write the power provided in the pump when the performance is 55% .
Also, g= 9.80 , pipe length=50m , pipe is smooth.

Find the value of moment at these points :
i) A , B , C , D and at the point in the middle of the BC section.

ii) Half meter left to force P, find the value of shear force and half meter right to force P find the value of axial force.

The big-bottle full of water at Oikiskos A has a mass of 3.23 kg and when it is empty it has a mass of 250g .

 

An Aristurtle member filled the bottle with a liquid he found in Oikiskos B. And the bottle weighed 2.22 kg What is the specific gravity of the liquid from Oikiskos B?

Please give the asnwer with 3 decimals

Α bun from the University Student Restaurant Club AUTh falls from the Βuilding D of Faculty Engineering in a windy day. A second bun is released 2.3 seconds later. How far are the buns when the second bun acquires a speed of 17 m / s? Ignore air resistance

g=9.80
Please give the answer with one decimal.

A structure is supported on three collumns. Each column may remain in its original position or fall by 8 cm with a probability of 0.20 When there is subsidence in a column, then the probability of subsidence in its neighbor increases to 0.60




a) If column A has not subsided, what is the probability that subsidence will occur in column B?


b) If column A has subsided, what is the probability that there will be subsidence at C?

A contractor wants to undertake the maintenance of an adjacent rural road,
11 (m) wide and L (m) total length.  For the configuration of a transverse slope he has at his disposal 10.000 € and three (3) graders of two different types.
Two graders of Type I and one grader of Type II.

                        Here there are some details for each grader.

TYPE I	TYPE II
Ηourly Producion: 2306  m3 / h	Ηourly Producion: 3039  m3 / h
Hourly cost: 40 €/hr	Hourly cost: 70 €/hr

a) For the minimum possible time of execution of the project, find the L that the contractor can maintain with his capital.

The Aristurtle team has a meeting at the BMW headquarters which is located in a
12-floor (10ft each floor) building in Munich. The meeting is on the 4th floor. The movements in the building are done only with an elevator as on the stairs there are renovation works. The elevator of this building when it descends, is allowed to reach a maximum speed of 4.5 m / s. The group is represented by 4 people whose average mass is 75 kg. The leader of the group pressed by mistake the button on the 8th floor and the members of the group found themselves on the 8th floor.

What should be the force on the cable to stop the elevator on the 4th floor where the meeting will take place?

The mass of an empty elevator is 1000 kg.

g=9.80

Please write the answer in kN. (one decimal)

Find the value of moment
at point in the middle of section FH (point G),
at point in the middle of section CD,
at point in the middle of section HB

Please give the answer with one decimal.

The last day of FSA, students from AMZ wanted to find the mass of a Mercedes Benz
G-Class CLR G770,which usually used for routes from Red Bull Ring to FSA Campus, students managed to measure the gear pressure on each of the four tires and they found out that was 268 Kpa.



At the same time, some students were searching the BOM of Mercedes Benz
G-Class CLR G770 and they found that the touchable surface of each tire has an area of 265cm². But they still didn't solve their problem, so it's up to you.


Please write the answer in kg and include one decimal