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PART A: WARM-UP QUESTIONS T. The graphs below show the magnitude, F, of the force exerted...
I don't understand 1a also need help with b. Can you please explain in detail. Springs...
I don't understand 1a also need help with b. Can you please
explain in detail.
Springs and Harmonic Motion Restoring forces that follow respect the form of Hooke's Law lead to simple harmonic motion. Everyday items, such as springs, exhibit this behavior. More fundamentally, many important physical systems can be modeled as being spring-like (e.g. molecular bonds), which makes harmonic motion the simplest model of motion that is still broadly applicable and easy to generalize.. A position vs. time graph...
Hooke's Law represents a linear restoring force where an elastic system is displaced from equilibrium. In...
Hooke's Law represents a linear restoring force where an elastic system is displaced from equilibrium. In an experiment a rubber band and a spring were placed in a vertical position and a series of having Masses were attached to the free end. a) Does the rubber band used exhibit Hooke's Law behavior? Why or why not? b) Does the spring used exhibit Hooke's Law behavior ? Why or why not? c) Simple Harmonic Motion is oscillatory motion of a system...
of 26 2 -0.5+ -1+ t(s The graph above shows the position of an object in...
of 26 2 -0.5+ -1+ t(s The graph above shows the position of an object in simple harmonic motion as a function of time. What are the first two times after zero at which the object has its maximum acceleration? What is the absolute value of the maximum acceleration? Hints: F = ma and by Hooke's law F = kAx. The period of a mass-spring system in SHM is T = 2(mk). Solve for km, then find a amax m/s2
Simple Hanging Harmonic Oscillator Developed by K Roos In this set of exercises the student builds a computational mode...
Simple Hanging Harmonic Oscillator Developed by K Roos In this set of exercises the student builds a computational model of a hanging mass-spring system that is constrained to move in 1D, using the simple Euler and the Euler-Cromer numerical schemes. The student is guided to discover, by using the model to produce graphs of the position, velocity and energy of the mass as a function of time, that the Euler algorithm does not conserve energy, and that for this simple...
Homework for Lab 15: Simple Harmonic Motion Name Date Section 15 10 -5 -15-10-5 0 5...
Homework for Lab 15: Simple Harmonic Motion Name Date Section 15 10 -5 -15-10-5 0 5 10 15 Displacement (em) Figure 15.6: Force vs displacement graph for a 0.75 kg cart on a horizontal spring. 1. Figure 15.6 shows the force exerted by the spring on a 0.75 kg cart, as a function of its displacement from equilibrium. Positive displacements (in cm) represent stretching of the spring; negative displacements represent compression. Find the spring constant. 2. The cart is moved...
The following function represents a mass undergoing simple harmonic motion. x(t)=5.0cos(0.40t+0.10) in SI Units A) Determine...
The following function represents a mass undergoing simple harmonic motion. x(t)=5.0cos(0.40t+0.10) in SI Units A) Determine the amplitude B) Determine the angular frequency. C) Determine the frequency D) Determine the period E) Determine the phase constant. F) Determine the function which represents the velocity as a function of time.
An object is undergoing simple harmonic motion. The graph shows the position of the object as...
An object is undergoing simple harmonic motion. The graph shows the position of the object as a function of time. What is the first time after t = 0 s when the speed reaches a maximum? x (cm) á ábOENWA 0 1 2 4 5 6 3 t (s)
A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax-...
A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax- 2 N if it stretched or compressed, where α = 60 N/m and β 18.0 Nm2/3. The mass of the spring is negligible. (a) Calculate the work function W(x) for the spring. Let U=0 when x=0. (b) An object of mass 0.900 kg on a horizontal surface is attached to this spring. The surface provides a friction force that is dependent on distance Fr(x)2x2...
One end of a spring with a force constant of k 10.0 N/m is attached to...
One end of a spring with a force constant of k 10.0 N/m is attached to the end of a long horizontal frictionless track and the other end is attached to a mass m = 2.20 kg which glides along the track. After you establish the equilibrium position of the mass-spring system, you move the mass in the negative direction (to the left), compressing the spring 1.73 m. You then release the mass from rest and start your stopwatch, that...
Questions 4 and 5 QUESTIONS: 1.Plot a graph of the force acting on the spring versus...
Questions 4 and 5
QUESTIONS: 1.Plot a graph of the force acting on the spring versus spring extension. 2. (a) Use the graph to calculate the spring constant including units. () Does the spring obey Hooke's Law over the range of applied forces used? Justify your response. (e) Write the equation for the spring which describes the relationship between extension and applied force to the spring. 3. (a) Use the spring equation to calculate the extension of the spring when...
I don't understand 1a also need help with b. Can you please
explain in detail.
Springs and Harmonic Motion Restoring forces that follow respect the form of Hooke's Law lead to simple harmonic motion. Everyday items, such as springs, exhibit this behavior. More fundamentally, many important physical systems can be modeled as being spring-like (e.g. molecular bonds), which makes harmonic motion the simplest model of motion that is still broadly applicable and easy to generalize.. A position vs. time graph...
of 26 2 -0.5+ -1+ t(s The graph above shows the position of an object in simple harmonic motion as a function of time. What are the first two times after zero at which the object has its maximum acceleration? What is the absolute value of the maximum acceleration? Hints: F = ma and by Hooke's law F = kAx. The period of a mass-spring system in SHM is T = 2(mk). Solve for km, then find a amax m/s2
Simple Hanging Harmonic Oscillator Developed by K Roos In this set of exercises the student builds a computational model of a hanging mass-spring system that is constrained to move in 1D, using the simple Euler and the Euler-Cromer numerical schemes. The student is guided to discover, by using the model to produce graphs of the position, velocity and energy of the mass as a function of time, that the Euler algorithm does not conserve energy, and that for this simple...
Homework for Lab 15: Simple Harmonic Motion Name Date Section 15 10 -5 -15-10-5 0 5 10 15 Displacement (em) Figure 15.6: Force vs displacement graph for a 0.75 kg cart on a horizontal spring. 1. Figure 15.6 shows the force exerted by the spring on a 0.75 kg cart, as a function of its displacement from equilibrium. Positive displacements (in cm) represent stretching of the spring; negative displacements represent compression. Find the spring constant. 2. The cart is moved...
A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax- 2 N if it stretched or compressed, where α = 60 N/m and β 18.0 Nm2/3. The mass of the spring is negligible. (a) Calculate the work function W(x) for the spring. Let U=0 when x=0. (b) An object of mass 0.900 kg on a horizontal surface is attached to this spring. The surface provides a friction force that is dependent on distance Fr(x)2x2...
One end of a spring with a force constant of k 10.0 N/m is attached to the end of a long horizontal frictionless track and the other end is attached to a mass m = 2.20 kg which glides along the track. After you establish the equilibrium position of the mass-spring system, you move the mass in the negative direction (to the left), compressing the spring 1.73 m. You then release the mass from rest and start your stopwatch, that...
Questions 4 and 5
QUESTIONS: 1.Plot a graph of the force acting on the spring versus spring extension. 2. (a) Use the graph to calculate the spring constant including units. () Does the spring obey Hooke's Law over the range of applied forces used? Justify your response. (e) Write the equation for the spring which describes the relationship between extension and applied force to the spring. 3. (a) Use the spring equation to calculate the extension of the spring when...
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