civil and mechanical engineering

En curso Publicado hace 6 años Pagado a la entrega
En curso Pagado a la entrega

CASE STUDY C

1. You are an engineer employed as a consultant for a shipyard recently installed in the coastal areas of the UK. A rectangular barge, with 450 kN of weight, was suspected to have been built with the wrong dimensions, but is already in a water tank, which renders direct measurements impracticable. You

notice, though, that the barge floats with the base of its hull 1.5 m below the water line. Based on this, determine:

i. The area of the barge; if the original plans stated 35 m2, were the suspicions correct?? Draw a free-body diagram for the situation.

ii. The maximum weight of cargo the barge can carry, if it can float no more than 2.0 m below the level of the water.

iii. Imagine that, instead of floating with the base of the hull 1.5 m below the surface of the water, the barge is kept afloat on the surface of the water. Moreover, the length of the barge is three times its width. What would have to be the mass of the barge for this situation to be physically possible??

Consider: temperature of the water: 20ºC; ρ_water= 998 kg/m3

15 marks

2. You might have heard about an Internet challenge known as “the bottle challenge”, in which a bottle, having approximately 1/3 of its volume filled with water, is thrown in air to describe a full loop and must fall upright on a surface (a table, for example). Regarding the physical events that take place in this challenge, answer the following:

a. Differently than when the bottle is completely empty or when it is completely full, it is possible to make it fall upright on a surface, in a stable manner. Why?? Is there any similarity between this system and the lab experiment you carried out with a pontoon??

b. Since the loop trajectory of the bottle is a full rotation around its cap, draw a free-body diagram of the bottle at the most critical point of its motion and derive an expression for the minimum velocity with which a bottle of length L needs to be thrown, so that it falls steady and upright on the surface of the table.

c. Considering the energy aspects, EXPLAIN why the bottle filled up to approximately 1/3 of its volume does not bounce back, once it hits a hard surface, while the empty bottle and the full bottle do bounce.

HINT: take into consideration the properties of the fluids, as well as the physical events and forms of energy involved in the landing of the bottle.

20 marks

Ingeniería civil Ingeniería Redacción por encargo Ingeniería mecánica

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hamody1

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chyconsl

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Rashidkote64

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