Consider a thin rope of mass m and length that hangs vertically
from a fixed point at the top.
Let the position of the lower end be and the top be
.
Because the rope is massive the
tension will vary as a function of y. Show that the wave speed for
this rope is and
the time
required for a wave to travel the whole rope is .
Homework Answers
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Consider a thin rope of mass m and length that hangs vertically
from a fixed point...
i need a clarify answer and well expressed Consider a thin rope of mass m and...
i need a clarify answer and well expressed
Consider a thin rope of mass m and length L that hangs vertically from a fixed point at the top. Let the position of the lower end be y = 0 and the top be y = L. Because the rope is massive the tension will vary as a function of y. Show that the wave speed for this rope is v-vgy and the time required for a wave to travel the...
Problem 1 [8 pts] A uniform string of mass m and length L hangs vertically from...
Problem 1 [8 pts] A uniform string of mass m and length L hangs vertically from the ceiling. (a) Find the tension in the rope as a function of distance from the lower end, and therefore determine the speed of a wave pulse as a function of position. (b) Solve by integration 2 = v(y) to determine the time it takes a wave pulse to travel the full length of the string.
6. A block of mass M hangs from a uniform rope of length L and mass...
6. A block of mass M hangs from a uniform rope of length L and mass m. Find an expression for the tension in the rope as a function of the distance y measured vertically downward from the top of the rope.
A 3.8-m-long rope of mass 1.2 kg hangs from a ceiling. part A:What is the wave...
A 3.8-m-long rope of mass 1.2 kg hangs from a ceiling. part A:What is the wave speed in the rope at the bottom end? Part B:What is the tension in the rope at the top end, where it is attached to the ceiling? Part C:What is the wave speed in the rope at the top end? Part D:It can be shown that the average wave speed in the rope is 1/2 sqrt(gL), where L is the length of the rope....
A rope of total mass m and length L is suspended vertically with an object of...
A rope of total mass m and length L is suspended vertically with an object of mass M suspended from the lower end. Find an expression for the wave speed at any point a distance x from the lower end, and calculate the time needed for the transverse pulse to travel the length of the rope. The rope has a length of 39.2 m and a mass of 1.00 kg. Suspended object has a mass of 8.00 kg.
A mass of 18.4 kg hangs from a 16.0 m rope it takes 0.545 s for...
A mass of 18.4 kg hangs from a 16.0 m rope it takes 0.545 s for
a wave to propagate along the rope (remember, waves travel with
constant speed).
a. What is the mass of the rope?
What is the wave speed if:
b. The mass of the hanging mass is doubled.
c. The mass of the rope is doubled.
Hw #3 Due Tuesday Jan 22 A mass of 18.4 kg hangs from a 16.0 m rope lt takes a...
A mass of 18.4 kg hangs from a 16.0 m rope It takes a 0.545 s...
A mass of 18.4 kg hangs from a 16.0 m rope It takes a 0.545 s for a wave to propagate along the rope (remember, waves travel with constant speed). a. What is the mass of the rope? What is the wave speed if: b. The mass of the hanging mass is doubled C. The ma oubled. ss of the rope is d
A heavy rope 6.00 mm long and weighing 23.4 N is attached at one end to...
A heavy rope 6.00 mm long and weighing 23.4 N is attached at one
end to a ceiling and hangs vertically. A 0.590-kg mass is suspended
from the lower end of the rope.
Part A)
What is the speed of transverse waves on the rope at the bottom
of the rope?
Part B)
What is the speed of transverse waves on the rope at the middle
of the rope?
Part C)
What is the speed of transverse waves on the...
2.) A spring hangs vertically from the ceiling. Its natural length is 1.0 m. When a...
2.) A spring hangs vertically from the ceiling. Its natural length is 1.0 m. When a mass of 2.0 kg is attached to the spring, the spring's equilibrium length is 1.5 m. (a.) What is the spring constant k? The mass displaced vertically from equilibrium by 1.0 cm. (b.) What is the period of oscillation? (c.) What is the maximum speed of the mass? (d.) Suppose I wanted to maximize the oscillation amplitude by tapping on the mass. At what...
A traveling sinusoidal wave is moving on a long thin rope (total length =186 m, mass...
A traveling sinusoidal wave is moving on a long thin rope (total length =186 m, mass = 3.50 kg) in the +x direction. The rope is tied at one end to give a tension T. The wave is described by wavelength λ= 2.00 m, amplitude A=1.20 m and speed v=30.0 m/s. The phase angle is -π/4 radian. a. the expression that describes the y-displacement of the media particles as a function of time (give numbers for all the quantities). b. the...
i need a clarify answer and well expressed
Consider a thin rope of mass m and length L that hangs vertically from a fixed point at the top. Let the position of the lower end be y = 0 and the top be y = L. Because the rope is massive the tension will vary as a function of y. Show that the wave speed for this rope is v-vgy and the time required for a wave to travel the...
Problem 1 [8 pts] A uniform string of mass m and length L hangs vertically from the ceiling. (a) Find the tension in the rope as a function of distance from the lower end, and therefore determine the speed of a wave pulse as a function of position. (b) Solve by integration 2 = v(y) to determine the time it takes a wave pulse to travel the full length of the string.
6. A block of mass M hangs from a uniform rope of length L and mass m. Find an expression for the tension in the rope as a function of the distance y measured vertically downward from the top of the rope.
A mass of 18.4 kg hangs from a 16.0 m rope it takes 0.545 s for
a wave to propagate along the rope (remember, waves travel with
constant speed).
a. What is the mass of the rope?
What is the wave speed if:
b. The mass of the hanging mass is doubled.
c. The mass of the rope is doubled.
Hw #3 Due Tuesday Jan 22 A mass of 18.4 kg hangs from a 16.0 m rope lt takes a...
A mass of 18.4 kg hangs from a 16.0 m rope It takes a 0.545 s for a wave to propagate along the rope (remember, waves travel with constant speed). a. What is the mass of the rope? What is the wave speed if: b. The mass of the hanging mass is doubled C. The ma oubled. ss of the rope is d
A heavy rope 6.00 mm long and weighing 23.4 N is attached at one
end to a ceiling and hangs vertically. A 0.590-kg mass is suspended
from the lower end of the rope.
Part A)
What is the speed of transverse waves on the rope at the bottom
of the rope?
Part B)
What is the speed of transverse waves on the rope at the middle
of the rope?
Part C)
What is the speed of transverse waves on the...
2.) A spring hangs vertically from the ceiling. Its natural length is 1.0 m. When a mass of 2.0 kg is attached to the spring, the spring's equilibrium length is 1.5 m. (a.) What is the spring constant k? The mass displaced vertically from equilibrium by 1.0 cm. (b.) What is the period of oscillation? (c.) What is the maximum speed of the mass? (d.) Suppose I wanted to maximize the oscillation amplitude by tapping on the mass. At what...
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