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A 4.0 kg block is suspended from the ceiling of an elevator through a string having a linear mass density of 19.2 × 10⁻³ kg m⁻¹.

Question: A 4.0 kg block is suspended from the ceiling of an elevator through a string having a linear mass density of 19.2 × 10−3 kg m−1. Find... View Article

In the arrangement shown in figure (below), the string has a mass of 4.5 g. How much time will it take for a transverse disturbance produced at the floor to reach the pulley? Take g = 10 m s⁻².

Solution:Mass density = ρ = (0.0045/2.25) kg/mforce on the string = T = 20 NNow, speed of the wave = v = √(T/ρ) = 100 m/sTherefore, time taken =... View Article

Two blocks each having a mass of 3.2 kg are connected by a wire CD and the system is suspended from the ceiling by another wire AB

Question: Two blocks each having a mass of 3.2 kg are connected by a wire CD and the system is suspended from the ceiling by another wire AB... View Article

A string of length 40 cm and weighing 10 g is attached to a spring at one end and to a fixed wall at the other end. The spring has a spring constant of 160 N m⁻¹ and is stretched by 1.0 cm. If a wave pulse is produced on the string near the wall, how much time will it take to reach the spring?

Here l = 40 cm , spring constant = k = 160 N/m and mass = 10 gMass per unit length = m = 10/40 = (1/4) g/cmNow, deflection = x = 1 cm = 0.01... View Article

A travelling wave is produced on a long horizontal string by vibrating and end up and down sinusoidally. The amplitude of vibration is 1.0 cm

Question: A travelling wave is produced on a long horizontal string by vibrating and end up and down sinusoidally. The amplitude of vibration is... View Article

A transverse wave described by

y = (0.02 m) sin(1.0 m−1) x + (30 s−1)t]propagates on a stretched string having a linear mass density of 1.2 × 10−4 kg m-1. Find the tension in... View Article

Two wires of different densities but same area of cross section is soldered together at one end and are stretched to a tension T.

Question: Two wires of different densities but same area of cross section is soldered together at one end and are stretched to a tension T. The... View Article

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

Question: 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... View Article

A string of length 20 cm and linear mass density 0.40 g cm⁻¹ is fixed at both ends and is kept under a tension of 16 N. A wave pulse is produced at t = 0 near an end as shown in figure (below), which travels towards the other end.

(a) When will the string have the shape shown in the figure again? (b) Sketch the shape of the string at a time half of that found in part... View Article

A steel wire of length 64 cm weights 5 g. If it is stretched by a force of 8 N, what would be the speed of a transverse wave passing on it?

Mass = 5g, Length = 64cm and Force = 8 N (given)So, density= ρ = (5/64) g/cmNow, F = ρv2or v2 = 8 x (64 cm/5g)or v = 32 m/s... View Article

A wave travelling on a string at a speed of 10 m s⁻¹ causes each particle of the string to oscillate with a time period of 20 ms.

(a) What is the wavelength of the wave? (b) If the displacement of a particle is 15 mm at a certain instant, what will be the displacement of a... View Article

Figure shows a plot of the transverse displacements of the particles of a string

Question: Figure shows a plot of the transverse displacements of the particles of a string at t = 0 through which a travelling wave is passing in... View Article

A particles on a stretched string supporting a travelling wave takes 50 ms to move from its mean position to the extreme position.

Question: A particles on a stretched string supporting a travelling wave takes 50 ms to move from its mean position to the extreme position. The... View Article

A wave is described by the equation

(a) Find the time period and the wavelength? (b) Write the equation for the velocity of the particles. Find the speed of the particle at x = 1.0... View Article

A wave travels along the position x-direction with a speed of 20 m s⁻¹. The amplitude of the wave is 0.20 cm and the wavelength 2.0 cm.

(a) Write a suitable wave equation which describes this wave. (b) What is the displacement and velocity of the particle at x = 2.0 cm at time t =... View Article

The equation of a wave travelling on a string is

y = (0.10 mm) sin[(31.4 m−1) x+ (314 s−1) t].(a) In which direction does the wave travel? (b) Find the wave speed, the wavelength and the... View Article

A wave propagates on a string in the positive x-direction at a velocity υ. The shape of the string at t = t0 is given by g(x, t0) = A sin(x/a). Write the wave equation for a general time t.

The general equation: Y = A sin(x/λ - t/T) Here λ = a and T = a/v Y = A sin(x/a - vt/a) => A sin(x/a) = A sin(x/a + vt0/a) To sustain... View Article

A wave pulse is travelling on a string with a speed υ toward the position X-axis. The shape of the string at t = 0 is given by g(x) = A sin (x/a), where A and a are constants.

(a) What are the dimensions of A and a? (b) Write the equation of the wave for a general time t, if the wave speed is υ.Solution: (a) dimensions... View Article

The displacement of the particle at x = 0 of a stretched string carrying a wave in the positive x-direction is given by f(t) = A sin(t/T). The wave speed is υ. Write the wave equation.

Solution: AT x = 0, f(t) = a sin(t/T)=> wavelength = λ = vTSo, general equation of wave,Y = A sin((t/T) - (x/vT))... View Article

A pulse travelling on a string is represented by the function

Question: A pulse travelling on a string is represented by the functionwhere a = 5 mm and υ = 20 cm s−1. Sketch the shape of the string at t = 0,... View Article

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