The drawing shows an arrangement in which a block (mass = 19.2 kg) is held in position on a frictionless incline by a cord (length = 0.450 m). The mass per unit length of the cord is 1.44 x 10-2 kg/m so the mass of the cord is negligible compared to the mass of the block. The cord is being vibrated at a frequency of 234 Hz (vibration source not shown in the drawing). What is the maximum value of the angle θ in degrees at which a standing wave pattern exists on the cord?

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The drawing shows an arrangement in which a block (mass = 19.2 kg) is held in position on a frictionless incline by a cord (length = 0.450 m). The mass per unit length of the cord is 1.44 x 10-2 kg/m so the mass of the cord is negligible compared to the mass of the block. The cord is being vibrated at a frequency of 234 Hz (vibration source not shown in the drawing). What is the maximum value of the angle θ in degrees at which a standing wave pattern exists on the cord?

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Given

Given:

Mass of block,m=19.2kgLength,L=0.450mMass per unit length,μ=1.44×10-2kg/mFrequency,f=234HzAcceleration due to gravity,g=9.8m/s2

When the vibrational frequency of the source causes reflected waves from one end of the medium to interfere with incident waves from the source, a standing wave pattern is formed within the medium. Harmonic frequencies, or simply harmonics, are the terms used to refer to these frequencies.

A tension force is the force created when a rope, string, or cable is stretched under a force. Tension is exerted along the length of the rope/cable in the opposite direction of the force applied. Tension is also known as stress, tensity, or tautness at times.

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