A violin string PQ IS 60cm between its fixed points P and Q has a mass of 2g . The string sound an A note (440Hz) when played without fingering.At what point M on the string must the finger be placed to play note C (528Hz)

A string has a length of 5 cm between fixed points and has a fundamental frequency of 20 Hz. What is the frequency of the second overtone?

A particular guitar wire is 30.0 cm long and vibrates at a frequency of 196 Hz when no finger is placed on it. The next higher notes on the scale are 220 Hz, 247 Hz, 262 Hz and 294 Hz. How far from the end of the string must the finger be placed to play these notes ?

A string vibrates with one loop between the fixed points A and B. The ratio of magnitudes of maximum velocities of P and Q is [The shape of string when P and Q having zero speeds as shown in the figure].

In a conical pendulum arrangement, a string of length 1 m is fixed at one end with a bob of mass 100 g and the string makes 2 π r v s − 1 around a vertical axis through a fixed point. The angle of inclination of the string with vertical is: (Take g = 10 m s − 1 )

In a conical pendulum arrangement, a string of length 1 m is fixed at one end with a bob of mass 100 g and the string makes (2)/(pi) mvs^(-1) around a vertical axis through a fixed point. The angle of inclination of the string with vertical is: (Take g = 10 ms^(-1) )

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 string of linear mass density 0.5 g cm^-1 and a total length 30 cm is tied to a fixed wall at one end and to a frictionless ring at the other end. The ring can move on a vertical rod. A wave pulse is produced on the string which moves towards the ring at a speed of 20 cm s^-1 . The pulse is symmetric about its maximum which is located at a distance of 20 cm from the end joined to the ring. (a) Assuming that the wave is reflected from the ends without loss of energy, find the time taken by the string to regain its shape. (b) The shape of the string changes periodically with time. Find this time period. (c) What is the tension in the string ?

In the arrangement shown in Fig. 7.100 , mass can be hung from a string with a linear mass density of 2 xx 10^(-3) kg//m that passes over a light pulley . The string is connected to a vibrator of frequency 700 Hz and the length of the string between the vibrator and the pulley is 1 m . The string is set into vibrations and represented by the equation y = 6 sin (( pi x)/( 10)) cm cos (14 xx 10^(3) pi t) where x ane y are in cm , and t in s , the maximum displacement at x = 5 m from the vibrator is

A particle of mass 1 kg is attached to a string of length 5 m . The string is attached to a fixed point O . It is released from theposition as shown in Fig. Calculate a. the impulse developed in the string when it becorries taut, b. the velocity of the particle just after the string becomes taut, c. the impulse developed in this string PQ at this instant.

A ball of mass 1kg is at rest in position P by means two light strings OP and RP . The string RP is now cut and the ball swings to position Q . If theta =45^(@) . Find the tensions in the strings in position OP (when RP was not cut ) and OQ (when RP was cut ). (take g =10m//s^(2) ).