1 ) Derive a free body diagram with spring-mass-damper elements for given system. QUESTION 2 ) Derive equation of motion for given system in terms of m, c, k.
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1 ) Derive a free body diagram with spring-mass-damper elements for given system. QUESTION 2 ) Derive equation of motion for given system in terms of m, c, k.
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- UST Hospital had a surge of Covid-19 patients. Due to lack of mechanical ventilators and medical staffs pumping Bag Valve Mask (Ambu bag), Thomasian mechanical engineering students were asked to design a low-cost mechanically operated Ambu bag. The mechanism involves cam and follower (see figure below). Air Tube Ambu Bag Follower Cam DC Motor Aluminum Frame Design Parameters Knife-Edge Follower Type Ambu Bag Diameter Follower Displacement Inhale Span (Rise) Exhale Span (Fall) Dwell Span Cam Base Radius 200 mm 85% of Ambu Bag Diameter 1.75 sec 2.25 sec 4 sec 60 mm 1. What is the gear ratio needed to reduce the cam speed appropriate for the given parameters if the rated motor speed is 100 rpm? 2. Draw the profile of the cam and show the displacement diagram using: a) Uniform Velocity Motion b) Uniform Acceleration Motion c) Simple Harmonic Motion d) Cycloidal MotionProject 7: The landing gear of a commercial aircraft is modeled as mass-spring-damper system as shown in figure below. Your role is to define the main characteristics of such motion when the aircraft lands on rough runway that causes an oscillator motion as shown in the Figure.8. Your manger asked you to write a report showing your analysis for the system to avoid any excepted damages to the landing gear. Damper x(t) Suspension System Oscillation Spring Street and Bumps Oscillations Elastic Tire Figure.8: Car's Suspension mass-spring-damper system A. For any mass-spring system, explain the natural frequency of vibration. B. To identify the system main parameters, the following mass-spring-damper model is identified: x(t) = 0.1179e-25.2t sin (50t + 0.3224n) Determine the amplitude and phase angle of the transient response within the system? C. What is the frequency of the runway vibration required to cause resonance? Briefly, explain why it happens. D. Briefly, suggest how to prevent…Problem # 2: A Mehran(car) is to be mounted on springs such that its static deflection is 1.5mm. Find cof a viscous damper that is to be added to the system in parallel with the springs, such that the system is critically damped. HINT: You need the kerb weight of a Mehran. Google it and mention the website address from which you obtained the kerb weight. You will not be marked for this problem without a mentioning a valid website address.
- Problem 7: The landing gear of a commercial aircraft is modeled as mass-spring-damper system as shown in figure below. Your role is to define the main characteristics of such motion when the aircraft lands on rough runway that causes an oscillator motion as shown in the Figure.9. Your manger asked you to write a report showing your analysis for the system to avoid any excepted damages to the landing gear. Damper- | x(1) Suspension System Oscillation Spring y() Street and Bumps Oscillations Elastic Tire Figure.9: Aircraft's Suspension mass-spring-damper system A. For any mass-spring system, explain the natural frequency of vibration. B. To identify the system main parameters, the following mass-spring-damper model is identified: x(t) = 0.1179e-25.2t sin (50t + 0.3224n) Determine the amplitude and phase angle of the transient response within the system? C. What is the frequency of the runway vibration required to cause resonance? Briefly, explain why it happens. D. Briefly, suggest how…Project 7: The landing gear of a commercial aircraft is modeled as mass-spring-damper system as shown in figure below. Your role is to define the main characteristics of such motion when the aircraft lands on rough runway that causes an oscillator motion as shown in the Figure.8. Your manger asked you to write a report showing your analysis for the system to avoid any excepted damages to the landing gear. Damper- Suspension System Oscillation Spring Street and Dunps Oscillations Elastic Tire Figure.8: Car's Suspension mass-spring-damper system A. For any mass-spring system, explain the natural frequency of vibration. B. To identify the system main parameters, the following mass-spring-damper model is identified: x(t) = 0.1179e-25.2t sin (50t + 0.3224n) Determine the amplitude and phase angle of the transient response within the system? C. What is the frequency of the runway vibration required to cause resonance? Briefly, explain why it happens. D. Briefly, suggest how to prevent…Task 3 Question 1 Define how resonance occurs in a dynamic system? What must you take into account from preventing this from occurring? Finally, design a simple mass-spring-damper, indicate the values of the system, and provide an equation where the system is in a resonant state.
- ! Required information A helical compression spring is wound using music wire of diameter, d, 2.16 mm. The spring has an outside diameter, OD, of 27 mm with plain ground ends and 14 coils. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Estimate the spring rate. The spring rate is | N/mm.For a system mass spring define with your words but in detail, the following motion times, write the Edque characterizes each motion undamped free motion damped free motion forced motion ResonanceCar engine mechanism is the inversions of| kinematic chain.
- Assume a Centaur V upper stage with an empty mass of 2,247 kg, diameter of 3.05 meters and height of 12.68m, the wall thickness is 41mm, whereas the motor can be assumed to fill up 1/4 of the inner volume. You can assume the density of the walls and the motor to be uniform. You can assume the upper stage has been properly passivated and has no fuel remaining.Aim: To conduct a full kinematic analysis and calculate dynamic reaction forces in a linkage mechanism, calculate instantaneous torque, required to drive the mechanism and to present the results of the case study in a clear reporting format. Introduction: Figure 1 shows a pumpjack operating at an oil well. Its representation as a linkage is also shown in Figure 1. The pumpjack is driven by a motor attached to crank OA. A constant torque T is applied to the crank and the crank rotates at a constant angular velocity ???. A force P is applied vertically downwards at the end of the walking beam BD, which has its centre of mass at point G. To design the mechanism, a careful kinematic analysis of the mechanism needs to be conducted. To avoid mechanical failure and to provide adequate support to the mechanism, the engineer needs to analyse the reaction forces in the joints. Masses of links OA and AB are assumed to be smaller in comparison with the mass of BD and are ignored in the analysis.…4. The system has three axes or three levels, only the motor is connected on the first axis. At the end of axis 1 is a gear (N₁) connected to a gear (N₂), the left gear of Axis 2. The right gear of axis 2 (N3) is connected to the gear (N4), the left gear of Axis 3. At Axis 3 has an inertia (Ja) of 8 kg-m² and a damper of 32 N-m-s/rad. Draw the system and find the Transfer function that relates the voltage at the motor to the angular displacement at JA. Additional information: Gear N₁ has 10 teeth and an inertia of 1.5 kg-m² Gear N₂ has 20 teeth and an inertia of 2 kg-m² Gear N3 has 10 teeth and an inertia of 2 kg-m² Gear N4 has 20 teeth