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UCB - MCD4550 - Engineering Numerical Analysis - Trimester 2 - 2025

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Question 1

A jet airliner with a mass of mA kg has three working engines, each of which produces a constant thrust of T kN during its take-off roll.

Consider the runway from A to B as shown in the figure, which has an uphill incline of θ.

Assume a rolling friction coefficient equal to 0.

 

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Select the correct free body diagram for the airliner from the options below. Align the coordinate system such that the x-direction is parallel to the runway and the y-direction is normal to the runway.

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Calculate the frictional force on the crate that is being pulled by a force entirely in the horizontal direction.

The mass of the grate is 100kg and the coefficient of kinetic friction between the crate and the ground is . 

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Question 1

A jet airliner with a mass of mA kg has three working engines, each of which produces a constant thrust of T kN during its take-off roll.

Consider the runway from A to B as shown in the figure, which has an uphill incline of θ.

Assume a rolling friction coefficient equal to 0.

 

3

 

Select the correct free body diagram for the airliner from the options below. Align the coordinate system such that the x-direction is parallel to the runway and the y-direction is normal to the runway.

✅
❌
❌
❌
❌
View this question

Calculate the frictional force on the crate that is being pulled by a force entirely in the horizontal direction.

The mass of the grate is 100kg and the coefficient of kinetic friction between the crate and the ground is . 

❌
✅
❌
❌
View this question

Question 1

A jet airliner with a mass of mA kg has three working engines, each of which produces a constant thrust of T kN during its take-off roll.

Consider the runway from A to B as shown in the figure, which has an uphill incline of θ.

Assume a rolling friction coefficient equal to 0.

 

3

 

Select the correct free body diagram for the airliner from the options below. Align the coordinate system such that the x-direction is parallel to the runway and the y-direction is normal to the runway.

0%
❌
✅
0%
0%
View this question

Calculate the frictional force on the crate that is being pulled by a force entirely in the horizontal direction.

The mass of the grate is 100kg and the coefficient of kinetic friction between the crate and the ground is . 

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100%
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0%
View this question

A series of horizontal springs are attached to a wall. The spring constant of each spring is 240 N/m. The leftmost spring is attached to the wall, as shown in the diagram below.

A tensile force of 20 N applied to the right end of the group of springs results in a total displacement of 0.5 m. How many springs are in the series?

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Convert 382 RPM (revolutions per minute) into its SI equivalent.

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