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A bungee jumper of mass 70 kg, ties one end of an elastic rope of length 65 m and stiffness 1.75 ...
7. A bungee jumper with mass m 50 kg leaps fron a bridge. The jumper is...
7. A bungee jumper with mass m 50 kg leaps fron a bridge. The jumper is attached to the bridge by an elastic cord with axial stiffness k = 0.10 kN m-1. The cord unravels to its ful unstretched length 3.0s after the jumper has left the bridge. Starting from when the jumper leaves the bridge, determine the earliest time at which the elastic cord reaches its maximum extension. Neglect air resistance.[15
An 80.0 kg bungee jumper drops from rest off a bridge that is 200.0 m above...
An 80.0 kg bungee jumper drops from rest off a bridge that is 200.0 m above a river. As he falls, air resistance is negligible, and the unstretched bungee cord attached to him uncoils. The mass of the bungee cord is negligible. When the jumper is 50.0 m below the bridge, the bungee cord is completely uncoiled and forms a straight line. Below that point, the bungee cord acts as a spring, obeying Hooke's law as it is stretched beyond...
A 68 kg bungee jumper is standing on a platform 46 m above the ground. The...
A 68 kg bungee jumper is standing on a platform 46 m above the ground. The jumper falls from rest and it is assumed that the bungee cord, which is attached to the bungee jumper at one end and the platform at the other, has no effect for the first 9 m of the fall, i.e. the natural length of the cord is 9 m. When the bungee jumper is more than 9 m away from the platform the cord...
A 65.2-kg bungee jumper is standing on a tall platform (h_0 = 46.2 m), as indicated...
A 65.2-kg bungee jumper is standing on a tall platform (h_0 = 46.2 m), as indicated in the figure. The bungee cord has a natural length of L_0 = 8.40 m and, when stretched, behaves like an ideal spring with a spring constant of k = 48.3 N/m. The jumper falls from rest, and it is assumed that the only forces acting on him are his weight and, for the latter part of the descent, the elastic force of the...
Problem 3. A bungee jumper of mass 72.0 kg jumps from a cliff. After reaching his...
Problem 3. A bungee jumper of mass 72.0 kg jumps from a cliff. After reaching his lowest point, he oscil- lates up and down. He is observed to reach his lowest point 9 times more in 45.0 s. Assume the bungee cord obeys Hooke's law. (a) What is the period of his motion? (b) What is the force constant of the bungee cord? (c) After oscillating for a while, the jumper finally comes to rest 30.0 m below his starting...
A man of mass 91 kg, is bungee jumping by using an elastic steel cable can...
A man of mass 91 kg, is bungee jumping by using an elastic steel cable can be modeled as an elastic spring without damping as shown in Figure (below). The cable is stretched to a length such that vertical stretched length under static conditions is 16 mm as a SDOF system of vibration. The wind generates the vibration to excite the bridge that can be considered as harmonic motion with frequency 7 Hz and amplitude 5.0 mm. a) What is...
A bungee jumper who has a mass of 85.0 kg leaps off a very high platform....
A bungee jumper who has a mass of 85.0 kg leaps off a very high platform. A crowd excitedly watches as the jumper free-falls, reaches the end of the bungee cord, then gets "yanked" up by the elastic cord, again and again. One observer measures the time between the low points for the jumper to be 9.30 s. Another observer realizes that simple harmonic motion can be used to describe the process because several of the subsequent bounces for the...
When bungee jumping from a high bridge over Victoria Falls, an operator first attaches an elastic...
When bungee jumping from a high bridge over Victoria Falls, an operator first attaches an elastic rope to the jumper. The jumper then jumps off the bridge, falling freely until they reach the unstretched length of the rope Then, the rope begins to stretch and slows the jumper to a stop. The rope pulls the jumper back up, and they oscillate up and down for a while until the operator pulls the jumper back up to the bridge. The rope...
5. In bungee jumping, it is obviously important to know in advance how far an elastic cord of un-...
5. In bungee jumping, it is obviously important to know in advance how far an elastic cord of un-stretched length L will stretch with a given weight attached to its end. In one model for this elongation, the cord is simply considered to be a weak spring with constant k and the person tied to the end of the cord is a point mass m. Air resistance and any pendulum motion of the cord mass system are ignored. Suppose a...
1. [1pt] A professor of mass m = 65 kg is seated on a light harness connected to a rope and pulley system as shown. The...
1. [1pt]
A professor of mass m = 65 kg is seated on a light harness
connected to a rope and pulley system as shown. The professor's
feet touch a uniform plank of mass mplank = 20 kg which
is supported by a hinge at the wall. A mass M in a light bucket is
suspended from the right end of the plank. The professor is a
distance ℓ = 2.90 m from the hinge; the plank has length L...
7. A bungee jumper with mass m 50 kg leaps fron a bridge. The jumper is attached to the bridge by an elastic cord with axial stiffness k = 0.10 kN m-1. The cord unravels to its ful unstretched length 3.0s after the jumper has left the bridge. Starting from when the jumper leaves the bridge, determine the earliest time at which the elastic cord reaches its maximum extension. Neglect air resistance.[15
An 80.0 kg bungee jumper drops from rest off a bridge that is 200.0 m above a river. As he falls, air resistance is negligible, and the unstretched bungee cord attached to him uncoils. The mass of the bungee cord is negligible. When the jumper is 50.0 m below the bridge, the bungee cord is completely uncoiled and forms a straight line. Below that point, the bungee cord acts as a spring, obeying Hooke's law as it is stretched beyond...
A 68 kg bungee jumper is standing on a platform 46 m above the ground. The jumper falls from rest and it is assumed that the bungee cord, which is attached to the bungee jumper at one end and the platform at the other, has no effect for the first 9 m of the fall, i.e. the natural length of the cord is 9 m. When the bungee jumper is more than 9 m away from the platform the cord...
A 65.2-kg bungee jumper is standing on a tall platform (h_0 = 46.2 m), as indicated in the figure. The bungee cord has a natural length of L_0 = 8.40 m and, when stretched, behaves like an ideal spring with a spring constant of k = 48.3 N/m. The jumper falls from rest, and it is assumed that the only forces acting on him are his weight and, for the latter part of the descent, the elastic force of the...
Problem 3. A bungee jumper of mass 72.0 kg jumps from a cliff. After reaching his lowest point, he oscil- lates up and down. He is observed to reach his lowest point 9 times more in 45.0 s. Assume the bungee cord obeys Hooke's law. (a) What is the period of his motion? (b) What is the force constant of the bungee cord? (c) After oscillating for a while, the jumper finally comes to rest 30.0 m below his starting...
A man of mass 91 kg, is bungee jumping by using an elastic steel cable can be modeled as an elastic spring without damping as shown in Figure (below). The cable is stretched to a length such that vertical stretched length under static conditions is 16 mm as a SDOF system of vibration. The wind generates the vibration to excite the bridge that can be considered as harmonic motion with frequency 7 Hz and amplitude 5.0 mm. a) What is...
When bungee jumping from a high bridge over Victoria Falls, an operator first attaches an elastic rope to the jumper. The jumper then jumps off the bridge, falling freely until they reach the unstretched length of the rope Then, the rope begins to stretch and slows the jumper to a stop. The rope pulls the jumper back up, and they oscillate up and down for a while until the operator pulls the jumper back up to the bridge. The rope...
5. In bungee jumping, it is obviously important to know in advance how far an elastic cord of un-stretched length L will stretch with a given weight attached to its end. In one model for this elongation, the cord is simply considered to be a weak spring with constant k and the person tied to the end of the cord is a point mass m. Air resistance and any pendulum motion of the cord mass system are ignored. Suppose a...
1. [1pt]
A professor of mass m = 65 kg is seated on a light harness
connected to a rope and pulley system as shown. The professor's
feet touch a uniform plank of mass mplank = 20 kg which
is supported by a hinge at the wall. A mass M in a light bucket is
suspended from the right end of the plank. The professor is a
distance ℓ = 2.90 m from the hinge; the plank has length L...
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