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Test: Three Dimensional Force System - Mechanical Engineering MCQ


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10 Questions MCQ Test - Test: Three Dimensional Force System

Test: Three Dimensional Force System for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Test: Three Dimensional Force System questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Three Dimensional Force System MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Three Dimensional Force System below.
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Test: Three Dimensional Force System - Question 1

What is not the condition for the equilibrium in three dimensional system of axis?

Detailed Solution for Test: Three Dimensional Force System - Question 1

For the equilibrium in the three dimensional system of axis we have all the conditions true as, ∑Fx=0, ∑Fy=0 and ∑Fz=0. Also we have the summation of the forces equal to zero. Which is not a non-zero value.

Test: Three Dimensional Force System - Question 2

State true or false. We first make equilibrium equations and then the free body diagram and then solve the question?

Detailed Solution for Test: Three Dimensional Force System - Question 2

We first make the free body diagram and then we make the equilibrium equations to satisfy the given conditions. This helps us to solve the question easily. As this reduces the part of imagination and increases accuracy too.

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Test: Three Dimensional Force System - Question 3

If anybody is tied to three or more ropes, and then is allowed to achieve its equilibrium. Then the equilibrium achieved is achieved w.r.t what?

Detailed Solution for Test: Three Dimensional Force System - Question 3

Yes, the equilibrium is being achieved w.r.t the ground. Like the motion, w.r.t ground need be zero. That is the relative velocity of the object or the body must be zero w.r.t the ground. This means motion is in equilibrium.

Test: Three Dimensional Force System - Question 4

Find the tension in the cable AC.

Detailed Solution for Test: Three Dimensional Force System - Question 4

First represent the forces in their vector form. Then equate the net sum of the forces in the x, y and z directions to be zero. You will get FB = FC and 2(.848) = 40N. This gives the answer as 23.6N.

Test: Three Dimensional Force System - Question 5

Determine the value of the q, parallel to the z axis. That is the point of intersection of the projections of the points A, B and C parallel to the xy plane. With the distance between the tri-section point and the points A, B and C be equal to 0.6m.

Detailed Solution for Test: Three Dimensional Force System - Question 5

The application of the equilibrium equation will yield the result. That is the resultant along the z-axis will remain zero. Which give the value of γ as 50˚. And therefore q=51.9cm.

Test: Three Dimensional Force System - Question 6

∑Fx=0, ∑Fy=0 and ∑Fz=0 are vector equations.

Detailed Solution for Test: Three Dimensional Force System - Question 6

The answer is false as the equations asked are scalars. As we make the net sum of the forces along the axis equal to zero. Of course this equation comes from the solving the vector forms, but still the result is a scalar, hence the equations are scalar.

Test: Three Dimensional Force System - Question 7

When the body is in equilibrium then which of the following is true?

Detailed Solution for Test: Three Dimensional Force System - Question 7

Yes, we equate all the components of the three axis equal to zero. That is the resultant of the forces along the three axis are being equated to zero. This brings in that there is no net force along any direction. Hence equilibrium.

Test: Three Dimensional Force System - Question 8

If solving the question in 3D calculations is difficult, then use the 2D system and then equate the total net force to zero.

Detailed Solution for Test: Three Dimensional Force System - Question 8

The answer is obviously yes. If we are having any difficulty in making the vector components, then we can go in 2D. As if the particle is in equilibrium, the net force will be zero. No matter where you see first. Net force is zero.

Test: Three Dimensional Force System - Question 9

If the resolved force or the force which you get as the answer after solving the question is negative, then what does this implies?

Detailed Solution for Test: Three Dimensional Force System - Question 9

The negative sign implies things in the opposite manner. If the force is coming negative this doesn’t means that it is impossible. But it means that the force is in the opposite direction w.r.t the direction set by you in the free body diagram.

Test: Three Dimensional Force System - Question 10

An electromagnet crane is carrying the electromagnet with the help of the three cables. But the electromagnet is not stable because of the wind. What is science behind the cause?

Detailed Solution for Test: Three Dimensional Force System - Question 10

Any body is in equilibrium only if the net force along the three axis is zero. But in this case the wind is not helping the body to do so. The science behind this is that the resultant forces are being equated to a non-zero value by the wind. Hence unstable.

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