(II) Consider the point x = 1.00 m on the cord of Example 15–5. Determine ( a ) the maximum velocity of this point, and ( b ) its maximum acceleration. ( c ) What is its velocity and acceleration at t = 2.50 s? EXAMPLE 15–5 A traveling wave. The left-hand end of a long horizontal stretched cord oscillates transversely in SHM with frequency f = 250 Hz and amplitude 2.6 cm. The cord is under a tension of 140 N and has a linear density μ = 0.12 kg/m. At t = 0, the end of the cord has an upward displacement of 1.6 cm and is falling (Fig. 15–14). Determine ( a ) the wavelength of waves produced and ( b ) the equation for the traveling wave.
(II) Consider the point x = 1.00 m on the cord of Example 15–5. Determine ( a ) the maximum velocity of this point, and ( b ) its maximum acceleration. ( c ) What is its velocity and acceleration at t = 2.50 s? EXAMPLE 15–5 A traveling wave. The left-hand end of a long horizontal stretched cord oscillates transversely in SHM with frequency f = 250 Hz and amplitude 2.6 cm. The cord is under a tension of 140 N and has a linear density μ = 0.12 kg/m. At t = 0, the end of the cord has an upward displacement of 1.6 cm and is falling (Fig. 15–14). Determine ( a ) the wavelength of waves produced and ( b ) the equation for the traveling wave.
(II) Consider the point x = 1.00 m on the cord of Example 15–5. Determine (a) the maximum velocity of this point, and (b) its maximum acceleration. (c) What is its velocity and acceleration at t = 2.50 s?
EXAMPLE 15–5 A traveling wave. The left-hand end of a long horizontal stretched cord oscillates transversely in SHM with frequency f = 250 Hz and amplitude 2.6 cm. The cord is under a tension of 140 N and has a linear density μ = 0.12 kg/m. At t = 0, the end of the cord has an upward displacement of 1.6 cm and is falling (Fig. 15–14). Determine (a) the wavelength of waves produced and (b) the equation for the traveling wave.
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
When a sinusoidal wave crosses the boundary between two sections of cord as in Fig. 11–34, the frequency does not change (although the wavelength and velocity do change). Explain why
A string of mass 2.50 kg is under a tension of 200 N. The length of the stretched string is 20.0 m. If the transverse jerk is struck at one end of the string, how long does the disturbance take to reach the other end?
Calculate the lowest resonant frequency for a brick partition 150 mm thick, 6 m by 3 m in an area with a longitudinal wave velocity of 2350 m/s. (Assume it is supported at its edges.)
Chapter 15 Solutions
Physics for Scientists and Engineers, Vol 1 (Chapters 1-20)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.