Knowing the following assumptions: Physical Assumptions 1. The mass of the strin
ID: 2086467 • Letter: K
Question
Knowing the following assumptions:
Physical Assumptions 1. The mass of the string per unit length is constant ("homogeneous string"). The string is perfectly elastic and does not offer any resistance to bending. 2. The tension caused by stretching the string before fastening it at the ends is so large that the action of the gravitational force on the string (trying to pull the string down a little) can be neglected. 3. The string performs small transverse motions in a vertical plane; that is, every particle of the string moves strictly vertically and so that the deflection and the slope at every point of the string always remain small in absolute value.Explanation / Answer
3. if assumption 3 was violated then we have to calculate transverse deflection which will be much more complicated. That time we have to consider both vertical and horizontal deflection in the calculation. then we cannot take small deflection angle for calculation which will change entire equation of motion.
2.If the assumption 2 was violated then we have to take gravitational force into the equation of motion. as every portion of the string will have some mass that the entire string will exert a gravitational force which we have to add to the total force calculation.
1. If the assumption 2 was violated then we have to know the mass distribution of the spring. we cannot consider the string as elastic its means under force it will permanently deform and that will change material properties. At that condition, we have to know how the properties will change under the action of force.
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