(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.
A person is running a temperature of 41.0°C. What is the equivalent temperature on the Fahrenheit scale? (Enter your answer to at least three significant figures.)
°F
What is the period of a rock of mass 2.0kg tied to the end of a spring 0.625m long string that hangs in a doorway and has an elastic constant of 40N/m?
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