One end of a thin straight elastic string is fixed at `A(4,-1)` and the other end `B` is at `(1,2)` in the unstretched condition. If the string is stretched to triple its length to the point `C ,` then find the coordinates of this point.

Strings Fixed At One End And Free From Other End

A stretched string fixed at both end has n nods, then the lengths of the string is

In the figure (i) a uniform string is fixed at one end and the other end is pulled by a tension T. another force T acts at mid point of the string. In figure (ii) another identical string is pulled by tension T at both the ends. The ratio of elongation in equilibrium of string (i) to the elongation of string in (ii) is

One end of a string of length 1.5 m is tied to a stone of mass 0.4 kg and the other end to a small pivot on a smooth vertical board. What is the minimum speed of the stone required at its lower most point so that the string does not slack at any point in its motion along the vertical circle ?

The first overtone of a pipe closed at one end resonates with the third harmonic of a string fixed at its ends. The ratio of the speed of sound to the speed of transverse wave travelling on the string is 2 : 1. Find the ratio of the length of pipe to the length of string.

A small body of mass 1/2 kg is tied to one end of a string of length 1m. With what horizontal velocity must the body be projected so that it may go round the peg to which the other end of the string is attached without slackening of the string at the highest point ?

A light string is tied at one end to a fixed support and to a heavy string of equal length L at the other end as shown in figure. A block of mass m is tied to the free end of heavy string. Mass per unit length of the strings are mu and 9mu and the tension is T . Find the possible values of frequencies such that junction of two wire point A is a node.

A stone of mass m is tied to an elastic string of negligble mass and spring constant k. The unstretched length of the string is L and has negligible mass. The other end of the string is fixed to a nail at a point p. Initially the stone is at the same level as the point P. The stone is dropped vertically from point P. (a) Find the distance y from the top when the mass comes to rest for an instant, for the first time. (b) What is the maximum velocity attained by the stone in this drop? (c) What shall be the nature of the motion after the stone has reached its lowest point?

A mass of 1 kg is suspended by a string A. another string C is connected to its lower end (see figure). If the string C is stretched slowly, then

A stretched string of length L fixed at both the ends has nodes, where n gt 2 . What is the length of the string in terms of n and lambda ?