The length of the string of a musical instrument is 90cm

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer See Answer See Answer done loading Question:Exercise 4.7.6: Imagine that a stringed musical instrument falls on the floor Suppose that the length of the string is l and a = I. When the musical instrument hits the ground the string was in rest poston and hence y(x,0) 0. However, the string was moving at some velocity at impact (t - 0), say y,(x, 0) --1. Find the solution y(x, t) for the shape of the Exercise 4.7.6: Imagine that a stringed musical instrument falls on the floor Suppose that the length of the string is l and a = I. When the musical instrument hits the ground the string was in rest poston and hence y(x,0) 0. However, the string was moving at some velocity at impact (t - 0), say y,(x, 0) --1. Find the solution y(x, t) for the shape of the string at time t. Previous question Next question

The velocity of the travelling wave remains a constant. Initially for fundamental mode, the length of the string is half the wavelength. λ = 1 8 0 c m ν = 1 2 4 H z The new frequency is Given by: ν 2 ​ = 1 8 6 H z Using the fact that ν λ = c o n s t a n t we get λ 2 ​ = 1 2 0 c m The midpoint of this would be the node (where the string needs to be plucked). The string needs to be plucked at 60cm.

Technical Design Information Although it is possible to build world class stringed musical instruments without the direct application of math, science, or technology, it is difficult to design instruments without some engineering basics. It is not impossible, mind you – trial and error is a perfectly sound approach to a design effort, but it can be costly both in time and effort. This page contains technical resources for those who want to design instruments. Included are some useful tools, formulae, data tables, technical discussions, research and links to other technical resources for stringed instrument designers. Last updated: December 21, 2021 The tension of a string is a function of its mass (or weight) per unit of length, the vibrating length of the string, and the pitch of the note produced when the string vibrates. The formula for determining string tension and other string tension related information and tools (including a Javascript calculator for string tension) are included here. Resetting the neck of a guitar requires removing some material from the heel to effect a new neck angle, thus lowering the action. The amount of material removed is always small, even for big changes to the action. The formula for determining how much material to remove from the heel for the desired action is presented here. There is also a Javascript calculator for those that don't want to do the math. The construction of so-called flattop guitars and similar instruments involves the...

Harps were widely used in the ancient Mediterranean and bce. Many were played in vertical position and plucked with the fingers of both hands, but Mesopotamia also had horizontal harps. Placed on the player’s lap, strings toward the player, they were plucked with a plectrum. Horizontal harps are pictured in India as late as 800 ce but apparently died out in the Middle East about 600 ce. At this same time Chromatic harps were built as early as the 16th century—e.g., the double harp, with two rows of strings, and the Welsh triple harp, with three rows. They also include the chromatic harp, invented in the late 19th century by the Pleyel firm of Paris, with two crossing sets of strings (like an X), and its U.S.

The velocity of the travelling wave remains a constant. Initially for fundamental mode, the length of the string is half the wavelength. λ = 1 8 0 c m ν = 1 2 4 H z The new frequency is Given by: ν 2 ​ = 1 8 6 H z Using the fact that ν λ = c o n s t a n t we get λ 2 ​ = 1 2 0 c m The midpoint of this would be the node (where the string needs to be plucked). The string needs to be plucked at 60cm.

Technical Design Information Although it is possible to build world class stringed musical instruments without the direct application of math, science, or technology, it is difficult to design instruments without some engineering basics. It is not impossible, mind you – trial and error is a perfectly sound approach to a design effort, but it can be costly both in time and effort. This page contains technical resources for those who want to design instruments. Included are some useful tools, formulae, data tables, technical discussions, research and links to other technical resources for stringed instrument designers. Last updated: December 21, 2021 The tension of a string is a function of its mass (or weight) per unit of length, the vibrating length of the string, and the pitch of the note produced when the string vibrates. The formula for determining string tension and other string tension related information and tools (including a Javascript calculator for string tension) are included here. Resetting the neck of a guitar requires removing some material from the heel to effect a new neck angle, thus lowering the action. The amount of material removed is always small, even for big changes to the action. The formula for determining how much material to remove from the heel for the desired action is presented here. There is also a Javascript calculator for those that don't want to do the math. The construction of so-called flattop guitars and similar instruments involves the...

Harps were widely used in the ancient Mediterranean and bce. Many were played in vertical position and plucked with the fingers of both hands, but Mesopotamia also had horizontal harps. Placed on the player’s lap, strings toward the player, they were plucked with a plectrum. Horizontal harps are pictured in India as late as 800 ce but apparently died out in the Middle East about 600 ce. At this same time Chromatic harps were built as early as the 16th century—e.g., the double harp, with two rows of strings, and the Welsh triple harp, with three rows. They also include the chromatic harp, invented in the late 19th century by the Pleyel firm of Paris, with two crossing sets of strings (like an X), and its U.S.

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer See Answer See Answer done loading Question:Exercise 4.7.6: Imagine that a stringed musical instrument falls on the floor Suppose that the length of the string is l and a = I. When the musical instrument hits the ground the string was in rest poston and hence y(x,0) 0. However, the string was moving at some velocity at impact (t - 0), say y,(x, 0) --1. Find the solution y(x, t) for the shape of the Exercise 4.7.6: Imagine that a stringed musical instrument falls on the floor Suppose that the length of the string is l and a = I. When the musical instrument hits the ground the string was in rest poston and hence y(x,0) 0. However, the string was moving at some velocity at impact (t - 0), say y,(x, 0) --1. Find the solution y(x, t) for the shape of the string at time t. Previous question Next question

Technical Design Information Although it is possible to build world class stringed musical instruments without the direct application of math, science, or technology, it is difficult to design instruments without some engineering basics. It is not impossible, mind you – trial and error is a perfectly sound approach to a design effort, but it can be costly both in time and effort. This page contains technical resources for those who want to design instruments. Included are some useful tools, formulae, data tables, technical discussions, research and links to other technical resources for stringed instrument designers. Last updated: December 21, 2021 The tension of a string is a function of its mass (or weight) per unit of length, the vibrating length of the string, and the pitch of the note produced when the string vibrates. The formula for determining string tension and other string tension related information and tools (including a Javascript calculator for string tension) are included here. Resetting the neck of a guitar requires removing some material from the heel to effect a new neck angle, thus lowering the action. The amount of material removed is always small, even for big changes to the action. The formula for determining how much material to remove from the heel for the desired action is presented here. There is also a Javascript calculator for those that don't want to do the math. The construction of so-called flattop guitars and similar instruments involves the...

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer See Answer See Answer done loading Question:Exercise 4.7.6: Imagine that a stringed musical instrument falls on the floor Suppose that the length of the string is l and a = I. When the musical instrument hits the ground the string was in rest poston and hence y(x,0) 0. However, the string was moving at some velocity at impact (t - 0), say y,(x, 0) --1. Find the solution y(x, t) for the shape of the Exercise 4.7.6: Imagine that a stringed musical instrument falls on the floor Suppose that the length of the string is l and a = I. When the musical instrument hits the ground the string was in rest poston and hence y(x,0) 0. However, the string was moving at some velocity at impact (t - 0), say y,(x, 0) --1. Find the solution y(x, t) for the shape of the string at time t. Previous question Next question