Vectors exam practice Quiz

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Exam question practice: Part 1

Three forces are in equilibrium. We represent the 3 forces as vectors forming a triangle. The resultant of these forces is the...

1 point

adjacent of the triangle

opposite of the triangle

hypotenuse of the triangle

zero

Clear selection

We can find the magnitudes of T₁ and T₂ using a scale diagram. Give the best sequence of steps we should use to do this.

7 points

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Draw a point 30° upward from the construction line at W's head and a point 50° downward from the construction line at W's tail

Choose an appropriate scale

Measure T₁ and T₂ and convert according to the scale

Draw a line from W's tail, through the 50° point and ending at the intersection with T₁

Draw W's length according to the chosen scale

Draw a long line from W's head through the 30° point

Draw horizontal construction lines at W's head and tail

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Draw a point 30° upward from the construction line at W's head and a point 50° downward from the construction line at W's tail

Choose an appropriate scale

Measure T₁ and T₂ and convert according to the scale

Draw a line from W's tail, through the 50° point and ending at the intersection with T₁

Draw W's length according to the chosen scale

Draw a long line from W's head through the 30° point

Draw horizontal construction lines at W's head and tail

Exam question practice: Part 2

We can find the magnitudes of T₁ and T₂ using a calculation.

Give the best sequence of steps we should use.

You must assign Step 2/3 to two items because the order between them does not matter.

6 points

Step 1

Step 2/3

Step 4

Step 5

Step 6

Solve for T₁

Resolve T₁ and T₂ into their x and y components, given in terms of T₁ and T₂

Solve for T₂

Add W to the y components of T₁ and T₂. Equate this to Zero.

The sum of the x components of T₁ and T₂ = 0. Use this to calculate T₁'s value in terms of T₂

To the y-component equation: Substitute T₁'s value in terms of T₂ into T₂ to remove T₁ from the equation

Step 1

Step 2/3

Step 4

Step 5

Step 6

Solve for T₁

Resolve T₁ and T₂ into their x and y components, given in terms of T₁ and T₂

Solve for T₂

Add W to the y components of T₁ and T₂. Equate this to Zero.

The sum of the x components of T₁ and T₂ = 0. Use this to calculate T₁'s value in terms of T₂

To the y-component equation: Substitute T₁'s value in terms of T₂ into T₂ to remove T₁ from the equation

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