354791 An aluminium wire is clamped at each end and under zero tension at room temperature. Reducing the temperature, the tension in the wire is found to be increased (as length decreases). The wire is plucked. The resulting strain was found to be \({\rho ^a}{v^b}{Y^c}\) in the vibrating wire; where \(\rho \): density, \(v\) : velocity of wave in the string, \(y\) : Young's modulus. The value \(\frac{{ac}}{b} + \frac{{bc}}{a} = \)
354794
An ant with mass \(m\) is standing peacefully on top of a horizontal, stretched rope. The rope has mass per unit length \(\mu\) and is under tension \(F\). Without warning, a student starts a sinusoidal transverse wave of wavelength \(\lambda\) propagating along the rope. The motion of the rope is in a vertical plane. What minimum wave amplitude will make the ant feel weightless momentarily? Assume that \(m\) is so small that the presence of the ant has no effect on the propagation of the wave.
[Given: \(\lambda=0.5 {~m}, \mu=0.1 {~kg} / {m}, F=3.125 {~N}\), take \(g=\pi^{2}\) ]
354791 An aluminium wire is clamped at each end and under zero tension at room temperature. Reducing the temperature, the tension in the wire is found to be increased (as length decreases). The wire is plucked. The resulting strain was found to be \({\rho ^a}{v^b}{Y^c}\) in the vibrating wire; where \(\rho \): density, \(v\) : velocity of wave in the string, \(y\) : Young's modulus. The value \(\frac{{ac}}{b} + \frac{{bc}}{a} = \)
354794
An ant with mass \(m\) is standing peacefully on top of a horizontal, stretched rope. The rope has mass per unit length \(\mu\) and is under tension \(F\). Without warning, a student starts a sinusoidal transverse wave of wavelength \(\lambda\) propagating along the rope. The motion of the rope is in a vertical plane. What minimum wave amplitude will make the ant feel weightless momentarily? Assume that \(m\) is so small that the presence of the ant has no effect on the propagation of the wave.
[Given: \(\lambda=0.5 {~m}, \mu=0.1 {~kg} / {m}, F=3.125 {~N}\), take \(g=\pi^{2}\) ]
354791 An aluminium wire is clamped at each end and under zero tension at room temperature. Reducing the temperature, the tension in the wire is found to be increased (as length decreases). The wire is plucked. The resulting strain was found to be \({\rho ^a}{v^b}{Y^c}\) in the vibrating wire; where \(\rho \): density, \(v\) : velocity of wave in the string, \(y\) : Young's modulus. The value \(\frac{{ac}}{b} + \frac{{bc}}{a} = \)
354794
An ant with mass \(m\) is standing peacefully on top of a horizontal, stretched rope. The rope has mass per unit length \(\mu\) and is under tension \(F\). Without warning, a student starts a sinusoidal transverse wave of wavelength \(\lambda\) propagating along the rope. The motion of the rope is in a vertical plane. What minimum wave amplitude will make the ant feel weightless momentarily? Assume that \(m\) is so small that the presence of the ant has no effect on the propagation of the wave.
[Given: \(\lambda=0.5 {~m}, \mu=0.1 {~kg} / {m}, F=3.125 {~N}\), take \(g=\pi^{2}\) ]
354791 An aluminium wire is clamped at each end and under zero tension at room temperature. Reducing the temperature, the tension in the wire is found to be increased (as length decreases). The wire is plucked. The resulting strain was found to be \({\rho ^a}{v^b}{Y^c}\) in the vibrating wire; where \(\rho \): density, \(v\) : velocity of wave in the string, \(y\) : Young's modulus. The value \(\frac{{ac}}{b} + \frac{{bc}}{a} = \)
354794
An ant with mass \(m\) is standing peacefully on top of a horizontal, stretched rope. The rope has mass per unit length \(\mu\) and is under tension \(F\). Without warning, a student starts a sinusoidal transverse wave of wavelength \(\lambda\) propagating along the rope. The motion of the rope is in a vertical plane. What minimum wave amplitude will make the ant feel weightless momentarily? Assume that \(m\) is so small that the presence of the ant has no effect on the propagation of the wave.
[Given: \(\lambda=0.5 {~m}, \mu=0.1 {~kg} / {m}, F=3.125 {~N}\), take \(g=\pi^{2}\) ]