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Part B (Based off week 4/6 workshop content) The rear suspension of a mountain bike consists of a...
The rear suspension of a mountain bike consists of a spring suspended in a fluid and can be model...
Please i need help with question 4 and 5
The rear suspension of a mountain bike consists of a spring suspended in a fluid and can be modelled as a spring and damper system r(t) 1. Draw a free body diagram of the scenario above and show that the resulting ODE is given by where c is the damping constant, k is the spring stiffness, r(t) is the force pressing into the frame and x(t) is the downward displacement of...
The rear suspension of a mountain bike consists of a spring suspended in a fluid and...
The rear suspension of a mountain bike consists of a spring suspended in a fluid and can be modelled as a spring and damper system r(t) 1. Draw a free body diagram of the scenario above and show that the resulting ODE is given by where c is the damping constant, k is the spring stiffness, r(t) is the force pressing into the frame and x(t) is the downward displacement of the mass. 2. Find the homogenous solution, xh, to...
The rear suspension of a mountain bike consists of a spring suspended in a fluid and can be model...
The rear suspension of a mountain bike consists of a spring suspended in a fluid and can be modelled as a spring and damper system. r(t) 1. Draw a free body diagram of the scenario above and show that the resulting ODE is given by dt m dt m where c is the damping constant, k is the spring stiffness, r(t) is the force pressing into the frame and r(t) is the downward displacement of the mass. 2. Find the...
Part A (Based off week 7 Workshop content) Consider the RLC circuit where R = 5,...
Part A (Based off week 7 Workshop content) Consider the RLC circuit where R = 5, C = 1, L = 4 and VS = 8. 1. Use circuit analysis laws to show that the resistor’s voltage and inductor’s voltage can be modelled as the system of ODEs: V 0 R V 0 L = 0 R L − 1 RC − R L VR VL + 0 V 0 S 2. Solve the eigenvalues and eigenvectors of the coefficient...
Part C (Based off week 9 workshop content) In the last portfolio task, we modelled water...
Part C (Based off week 9 workshop content) In the last portfolio task, we modelled water draining from a tank with a small hole in the bottom. To slow the volume decrease of the tank, a hose is placed in the top of tank with flow rate Q(t). This results in the following modified Torcelli's law NV Given A 4 m2, a 0.1 m2, g 9.81 m/s2, Qt).e0 m/s anod V(0) 10m3, -0.1t 1. Explain why this ODE cannot be...
ONLY NEED SOLUTION TO QUESTION 4 PLEASE, THANK YOU (PLEASE MAKE SURE TO PLOT THE SOLUTION IN MATLAB) Part A (Based off week 7 Workshop content) Consider the RLC circuit where R = 5, C = 1, L = 4 and...
ONLY NEED SOLUTION TO QUESTION 4 PLEASE, THANK
YOU
(PLEASE MAKE SURE TO PLOT THE SOLUTION IN
MATLAB)
Part A (Based off week 7 Workshop content) Consider the RLC circuit where R = 5, C = 1, L = 4 and Vs = 8. 1. Use circuit analysis laws to show that the resistor's voltage and induc tor's voltage can be modelled as the system of ODEs: L RC i the system of ODEs 3. Verify your answer for question...
Dav/pid-7929239-dt-content-rid-23585314 1/courses/EGD126 1913TP1 Part A (Based off week 4/5 Works...
i need all the ques answer.
dav/pid-7929239-dt-content-rid-23585314 1/courses/EGD126 1913TP1 Part A (Based off week 4/5 Workshop content) It has been proposed that the ideal temperature for producing a coffee is 90°C. However, this is too hot to enjoy the beverage. After completing the week 5 workshop content, it is up to you to mathematically model how a coffee cup's temperature varies over time. 1. Consider a hot cup of coffee. The temperature in the coffee cup will decrease at a...
Consider the forced vibration in Figure 1. We mass, m Figure 1: Forced Vibration 1. Use...
Consider the forced vibration in Figure 1. We mass, m Figure 1: Forced Vibration 1. Use a free-body diagram and apply Newton's 2nd Law to show that the upward displacement of the mass, r(t), can be modelled with the ODE da da mdt2 + cat + kz = F(t) where k is the spring coefficient and c is the damping coefficient. = 2 kg, c = For the remainder of the questions, use the following values: m 8 Ns/m, k...
Problem Set A Problem 6. (20%) A ordinary differential equation for a mass-damper-spring system is following....
Problem Set A Problem 6. (20%) A ordinary differential equation for a mass-damper-spring system is following. The mass m 1, damping coetfic e initial position y(o) O, and the initial velocity i constant k 3 and force 10, all are in appropriate units. Th 1, spring zero, within the time range of O to 20 unit of time, use Matlab find the solution of function y(t)? Hint: you need to convert the 2nd order ODE into two 1st order ODEs....
Please help - i dont know how to solved these Part A (Based off week 2...
Please help - i dont know how to solved these
Part A (Based off week 2 Workshop content) Sam, a biological engineer, is modelling the population of bacteria (B) grow ing on petri dish. Sam observes that the growth over time of the bacteria fits the equation Cert B(t) = 1. (AMS Submission) Write a MATLAB function that accepts four inputs C, r, K and t and outputs bacteria population. The function should work given t is a scalar or...
Please i need help with question 4 and 5
The rear suspension of a mountain bike consists of a spring suspended in a fluid and can be modelled as a spring and damper system r(t) 1. Draw a free body diagram of the scenario above and show that the resulting ODE is given by where c is the damping constant, k is the spring stiffness, r(t) is the force pressing into the frame and x(t) is the downward displacement of...
The rear suspension of a mountain bike consists of a spring suspended in a fluid and can be modelled as a spring and damper system r(t) 1. Draw a free body diagram of the scenario above and show that the resulting ODE is given by where c is the damping constant, k is the spring stiffness, r(t) is the force pressing into the frame and x(t) is the downward displacement of the mass. 2. Find the homogenous solution, xh, to...
The rear suspension of a mountain bike consists of a spring suspended in a fluid and can be modelled as a spring and damper system. r(t) 1. Draw a free body diagram of the scenario above and show that the resulting ODE is given by dt m dt m where c is the damping constant, k is the spring stiffness, r(t) is the force pressing into the frame and r(t) is the downward displacement of the mass. 2. Find the...
Part C (Based off week 9 workshop content) In the last portfolio task, we modelled water draining from a tank with a small hole in the bottom. To slow the volume decrease of the tank, a hose is placed in the top of tank with flow rate Q(t). This results in the following modified Torcelli's law NV Given A 4 m2, a 0.1 m2, g 9.81 m/s2, Qt).e0 m/s anod V(0) 10m3, -0.1t 1. Explain why this ODE cannot be...
ONLY NEED SOLUTION TO QUESTION 4 PLEASE, THANK
YOU
(PLEASE MAKE SURE TO PLOT THE SOLUTION IN
MATLAB)
Part A (Based off week 7 Workshop content) Consider the RLC circuit where R = 5, C = 1, L = 4 and Vs = 8. 1. Use circuit analysis laws to show that the resistor's voltage and induc tor's voltage can be modelled as the system of ODEs: L RC i the system of ODEs 3. Verify your answer for question...
i need all the ques answer.
dav/pid-7929239-dt-content-rid-23585314 1/courses/EGD126 1913TP1 Part A (Based off week 4/5 Workshop content) It has been proposed that the ideal temperature for producing a coffee is 90°C. However, this is too hot to enjoy the beverage. After completing the week 5 workshop content, it is up to you to mathematically model how a coffee cup's temperature varies over time. 1. Consider a hot cup of coffee. The temperature in the coffee cup will decrease at a...
Consider the forced vibration in Figure 1. We mass, m Figure 1: Forced Vibration 1. Use a free-body diagram and apply Newton's 2nd Law to show that the upward displacement of the mass, r(t), can be modelled with the ODE da da mdt2 + cat + kz = F(t) where k is the spring coefficient and c is the damping coefficient. = 2 kg, c = For the remainder of the questions, use the following values: m 8 Ns/m, k...
Problem Set A Problem 6. (20%) A ordinary differential equation for a mass-damper-spring system is following. The mass m 1, damping coetfic e initial position y(o) O, and the initial velocity i constant k 3 and force 10, all are in appropriate units. Th 1, spring zero, within the time range of O to 20 unit of time, use Matlab find the solution of function y(t)? Hint: you need to convert the 2nd order ODE into two 1st order ODEs....
Please help - i dont know how to solved these
Part A (Based off week 2 Workshop content) Sam, a biological engineer, is modelling the population of bacteria (B) grow ing on petri dish. Sam observes that the growth over time of the bacteria fits the equation Cert B(t) = 1. (AMS Submission) Write a MATLAB function that accepts four inputs C, r, K and t and outputs bacteria population. The function should work given t is a scalar or...
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