Question

A uniform rope having linear density lambda hangs vertically from ceiling and its lower end is free. A disturbance produced at free end has a speed v0 at point p

Answer 1

Answer:

2 √ 2 V0 /g

Explanation:

• Linear density, yarn count, yarn number, and yarn size are all terms used to describe a yarn's fineness.
• Because the diameter of a yarn or fibre is not constant and uniform along its length, and its cross-sectional shape may not be circular, its fineness cannot be defined in terms of diameter.
• As a result, it can be stated by measuring the mass of a known length of yarn or the length of a known mass of yarn.
• Denier is a term used to describe the mass in grammes per 9000 metres of continuous filament yarn. For example, 400 D indicates that the yarn's mass per 9000 m is 400 g;
• 200 D indicates that the yarn's weight per 9000 m is 200 g; and 1500 D indicates that the yarn's mass per 9000 m is 1500 g.
• Denier is commonly shortened as D, as in 400, 200, and 1500 Denier.
• It is self-evident that for the same material, a greater denier indicates thicker (or heavier) yarn.
• The word "denier" comes from the French Denier, a mediaeval coin that was named after a Frankish coin that was initially produced in the late seventh century.91