Question

# (1A) A transverse sinusoidal wave travels along a string with a constant speed 10 m/s. The...

(1A) A transverse sinusoidal wave travels along a string with a constant speed 10 m/s. The acceleration of a small lump of mass on the string (a) varies sinusoidally in time in a direction perpendicular to the string, (b) varies sinusoidally in time in a direction parallel to the string, (c) is 10 m/s 2 , (d) is zero.

(1B) In a periodic transverse wave on a string the value of the wave speed depends on (a) amplitude, (b) wavelength, (c) frequency, (d) none of the choices

(1C)A transverse traveling wave on a string is described by the mathematical expression: y=(0.10)sin(2piX + 10piT)where x and y are measured in meters and T is measured in seconds. The frequency of this wave is (a) 10 Hz, (b) 5 Hz, (c) 2 Hz, (d) 1 Hz.? (2C) This wave is traveling in which direction? (a) + y , (b) − y , (c) + x , (d) − x. ? (3C) The speed with which this wave travels is (a) 1 m/s, (b) 2 m/s, (c) 5 m/s, (d) 10 m/s.?

(1D) A 0.5 kg mass attached to a linear spring, with spring constant 5 N/m and damping constant 0.2 kg/s, is initially displaced 10 cm from equilibrium. (a) What is the natural frequency of oscillation? What is its period of oscillation? How long does it take for the amplitude to decrease to 10% of its starting value? How many oscillations have occurred in this time? What fraction of the initial energy remains after this time?

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