A string is tied to the ceiling and is attached to a 50 kg mass that...

A string is tied to the ceiling and is attached to a 50 kg mass that hangs down freely. The 1.5-m-long string has a mass of 3.7 grams.

a. What is the speed of waves that exist on the string?

b. What is the frequency of the fundamental (m=1) harmonic of standing waves on the string?

c. What is the frequency of the 3rd (m=3) harmonic of standing waves on the string?

d. How much mass would have to be hanging from the string so that your answer from part c would be the frequency of the fundamental (m=1) harmonic?

Expert Solution

genius_generous answered 2 years ago

1. A powered model airplane of mass 1.77 kg is tied to a ceiling with string...

1. A powered model airplane of mass 1.77 kg is tied to a ceiling with string and allowed to fly at speed 0.44 m/s in a circular path of radius 0.44 m while suspended by the string which makes a constant angle with respect to the vertical. (a) What is the angle, in degrees, that the string takes such that the above is true? (b) What is the tension in the string, in N?

A small bucket of water with mass of 2.5 kg is tied to a string with...

A small bucket of water with mass of 2.5 kg is tied to a string with a length 0.68 m, and swung in a vertical circle. The bucket travels at a constant speed 5.8 m/s. When the bucket is at the top of the circle, what is the tension in the string? Report your answer in SI units, rounded to two decimal places.

Suppose a 1 kg mass is attached to the end of a string that is stretched...

Suppose a 1 kg mass is attached to the end of a string that is stretched 0.2 m by a force of 500 N (newtons). An exterior force F0 cos 50t acts on the mass. Find the position function x(t) if the initial conditions are given by x(0) = 0, x′(0) = 50.

A 90g ball is tied to a string so that the center its mass hangs 50...

A 90g ball is tied to a string so that the center its mass hangs 50 cm below the point where the string is tied to a support rod. The ball is pulled aside to a60° angle with vertical and released. As the string approaches vertical, it encounters a peg at a distance x below the support rod. The string then bends around the peg. If the position of the peg is low enough, the ball will move in a...

An 7-kg mass is attached to a spring hanging from the ceiling and allowed to come...

An 7-kg mass is attached to a spring hanging from the ceiling and allowed to come to rest. Assume that the spring constant is 50 N/m and the damping constant is 4 N-sec/m At time t=0, an external force of 8sin(3t)cos(3t) is applied to the system. Determine the amplitude and frequency of the steady-state solution.

A small block with mass 0.350 kg is attached to a string passing through a hole...

A small block with mass 0.350 kg is attached to a string passing through a hole in a frictionless, horizontal surface. The block is originally revolving in a circle with a radius of 0.500 m about the hole with a tangential speed of 1.50 m/s, uniformly. Consider the block as a particle. Moment of inertia of a particle is I=mr2, where r is the radius of the circle. Of course a tension force of the string is holding the block...

A 1.30-m string of weight 0.0121N is tied to the ceiling at its upper end, and...

A 1.30-m string of weight 0.0121N is tied to the ceiling at its upper end, and the lower end supports a weight W. Neglect the very small variation in tension along the length of the string that is produced by the weight of the string. When you pluck the string slightly, the waves traveling up the string obey the equationy(x,t)=(8.50mm)cos(172rad?m?1x?2730rad?s?1t)Assume that the tension of the string is constant and equal to W. How much time does it take a...

A spring hangs from the ceiling. A block of 0.450 kg is tied to the other...

A spring hangs from the ceiling. A block of 0.450 kg is tied to the other end of the spring. When released from rest, the block lowers 0.150 m before momentarily reaching rest, after which it moves upwards. (1) What is the spring constant, K? (2) Calculate the angular frequency of the vibrations of the block.

(1)Sphere A is attached to the ceiling of an elevator by a string. A second sphere...

(1)Sphere A is attached to the ceiling of an elevator by a string. A second sphere is attached to the first one by a second string. Both strings are of negligible mass. Here m1 = m2 = m = 3.57 kg. (a) The elevator starts from rest and accelerates downward witha= 1.35 m/s2. What are the tensions in the two strings in newtons? (b) If the elevator moves upward instead with the same acceleration what will be the tension in...

A ball of mass m is tied to a string and is rotating in a vertical...

A ball of mass m is tied to a string and is rotating in a vertical plane. The string is elastic (it stretches), which causes the path to be elongated vertically rather than perfectly circular. At the top of the path, the speed has the minimum value that still allows the ball to complete its circular path. Find: the length of the string when it makes an angle θ with respect to the horizontal. The following quantities are known: Mass...

Question