Right at the start you have y on the left instead of y2. Correct that and you should get the target answer.ElectronicTeaCup said:
haruspex said:
A parabolic wire is a type of wire that has a parabolic shape, meaning it curves in a symmetrical arc. It is commonly used in engineering and construction for its strength and stability.
Tension T in a parabolic wire is calculated using the equation T = mg + (mL^2/8h), where m is the mass of the wire, g is the acceleration due to gravity, L is the length of the wire, and h is the height of the wire at the point of interest.
The tension T in a parabolic wire is affected by the mass of the wire, the acceleration due to gravity, the length of the wire, and the height of the wire at the point of interest. Additionally, the material and thickness of the wire can also affect tension.
Tension T in a parabolic wire is highest at the lowest point of the curve, and decreases as you move towards the ends of the wire. This is because the weight of the wire is distributed more evenly at the ends, compared to the concentrated weight at the lowest point.
Understanding tension T in a parabolic wire is important in engineering and construction, as it helps determine the strength and stability of structures that use parabolic wires. It can also be used in other fields such as physics and mathematics to study the properties of curves and forces.