FREE Bachelor of Mechanical Engineering Advanced Mechanics Questions and Answers
The following rules apply to computations involving cable that is subject to its own weight:
The parallelogram law of addition is followed by all vector quantities. To create a resultant vector, two component vectors (A and B) are joined together. R = A+B.
Which of the following describes a frictional property?
When one body moves over another, there is a resistive force created. This opposing force is known as frictional force. It operates in the opposite direction from the force being applied.
The loading in the cable under its own weight has little effect on the cables' Integrity.
The geometry of the cables is unaffected by the loading in the cables. This is a result of the presumptions that we made. The cables are flawlessly elastic for the first one. The second is that the cables cannot be extended.
What number of equations are necessary to solve all the unknown variables for cable subjected to its own weight if the unknown variables in the computations are greater than the known quantities?
The equations will ultimately reveal the unknown variables, regardless of the calculation that is being done. The answers can be obtained by using known quantities correctly and applying a variety of calculating methods. Therefore, if the equations are applied correctly, the unknowns will be determined whether it is the case of the cables or the beams.
In calculations for cable exposed to its own weight, the magnitude of the resultant of the two vectors is always:
Yes, the angle between the two vectors is always a determining factor in the magnitude of the resultant. It could be bigger or smaller than one of the lengths of the vector. It does depend on the angle between them for accurately expressing, though.
Which of the following statements holds true if two forces are represented by two triangle sides in that order?
The Triangle Law of Forces states that if two forces act simultaneously on a particle and are represented by two sides of a triangle taken in order, the resultant is represented by the third side taken in reverse order.
What doesn't make a cable susceptible to its own weight balance in a three-dimensional system of axes?
All of the conditions are met for the equilibrium in the three-dimensional system of axes, which are, ∑Fx=0, ∑Fy=0 and ∑Fz=0. Additionally, the sum of the forces is equal to zero. which is a value that is not non-zero.
What angle is the resultant force acting at in comparison to one of the vectors when two equal vector forces are mutually perpendicular in a cable subjected to its own weight?
The vectors are perpendicular to one another, which results in a 90-degree angle between the forces. As a result, the outcome will develop at a 45-degree angle to any vector.
If there are three concurrent forces acting on a body, according to Lami's theorem, what is the connection between each force?
According to Lami's theorem, each force acting on a body under three contemporaneous forces is proportional to the sine of the angle between the other forces.
There is some resistance to sliding between two bodies' surfaces when they come into touch; this is called .
The resistive force that is produced when the surfaces of two bodies come into contact is known as frictional force. Different lubrication techniques are employed to lessen friction.
The cable is assumed to be subject to its own weight for the computations. One of the presumptions in this is that the cable is .
The calculations are simplified by the assumptions. Despite preconceptions, little errors do not matter in comparison to large amounts of data. But even so, the calculations are simple if the assumptions are established. Therefore, it is assumed that the cable is completely flexible.
The frictional force is not affected by which of the following?
Regardless of the extent of the contact area between the surfaces, friction acts as a resistive force on a body.
Which direction is the tensile force acting on the cable under the weight w.r.t the cable?
The cable offers little resistance to bending as a result of its flexibility. Because of the bending, all solid structures and beams can be seen. Therefore, the bending moment caused in the wires has no impact on them. Thus, the tensile force that is being generated acts perpendicular to the cable's points along its lengths.
Which of the following forces develops when there is no relative force between two contacting surfaces?
Static friction is the frictional force that develops when there is no relative motion between the contacting surfaces.
What quality of the cable causes it to have no resistance to bending while it is under its own weight?
The cable offers little resistance to bending as a result of its flexibility. Because of the bending, all solid structures and beams can be seen. Therefore, the bending moment caused in the wires has no impact on them. There is therefore no impact from bending and no resistance to bending.
When loaded, cable that is supporting its own weight has the shape of a .
When the loadings are applied, the cable assumes the shape of a straight line. The cables are stretched by the loadings' straight lines, operating vertically downward, which causes them to come into a straight line shape. The wires come into a straight line as a result of the loadings.