A mechanical system consists of a mass M, a damper B, two springs and an ideal...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A mechanical system consists of a mass M, a damper B, two springs and an ideal gearbox (i.e. negligible inertia and friction) as shown in Figure 1. An external force f(t) is exerted on the mass. For the gearbox, an input angular displacement of produces an output angular displacement of 0o =20. At rest with no external force applied, 0,0 = 0 rad. The input and output levers ('arms') connected rigidly to the input and output shafts of the gearbox, respectively, are both of unit length and have negligible mass. Both springs, one (with Hooke's constant K) connected to M and the other (with Hooke's constant K) connected to the output lever of the gearbox, are rigidly attached to the wall on the left. Both the wall and gearbox are inertially stationary. Assume the applied force to be always sufficiently small to ensure that the displacement 12 remains very small. Output & Input Levers K www ee Gearbox I B Input & Output Shafts (Aligned) y M y f(t) Figure 1: Mechanical assembly. a. Draw all the free-body diagrams and then derive the system's equations. (Motivate all steps performed.) b. Draw the state diagram of the system. (Avoid using differentiators.) (8 marks) (12 marks) A mechanical system consists of a mass M, a damper B, two springs and an ideal gearbox (i.e. negligible inertia and friction) as shown in Figure 1. An external force f(t) is exerted on the mass. For the gearbox, an input angular displacement of produces an output angular displacement of 0o =20. At rest with no external force applied, 0,0 = 0 rad. The input and output levers ('arms') connected rigidly to the input and output shafts of the gearbox, respectively, are both of unit length and have negligible mass. Both springs, one (with Hooke's constant K) connected to M and the other (with Hooke's constant K) connected to the output lever of the gearbox, are rigidly attached to the wall on the left. Both the wall and gearbox are inertially stationary. Assume the applied force to be always sufficiently small to ensure that the displacement 12 remains very small. Output & Input Levers K www ee Gearbox I B Input & Output Shafts (Aligned) y M y f(t) Figure 1: Mechanical assembly. a. Draw all the free-body diagrams and then derive the system's equations. (Motivate all steps performed.) b. Draw the state diagram of the system. (Avoid using differentiators.) (8 marks) (12 marks)
Expert Answer:
Answer rating: 100% (QA)
This problem involves creating a mathematical model of a mechanical system which includes drawing freebody diagrams and deriving the systems equations Since I cant sketch images I will describe how to ... View the full answer
Related Book For
Posted Date:
Students also viewed these mechanical engineering questions
-
Read and answer the question below. EMBRACE DEMOGRAPHICS AND SOCIETAL CHANGES Using Differences to Drive Value Force 7: Demographics and Societal Changes. One of the most important forces that is...
-
s1 educated (SSE) student for every three public school educated (PSE) students. Reasoning that students are not very dissimilar from threads, he suggests the following entry and exit routines be...
-
Player A has a $1 bill and a $20 bill, and player B has a $5 bill and a $10 bill. Each player will select a bill from the other player without knowing what bill the other player selected. If the...
-
O'Neill, Incorporated's segmented income statement for the most recent month is given below. For each of the following questions, refer back to the above original data.If Store B sales increase by...
-
The intensity of illumination at any point from a light source is proportional to the square of the reciprocal of the distance between the point and the light source. Two lights, one having an...
-
Compare and contrast the ethical approaches of its legal, therefore, its ok and the ends justify the means. Are there similarities? Are there differences?
-
One Product Corp. (OPC) incorporated at the beginning of last year. The balances on its post-closing trial balance prepared on December 31, at the end of its first year of operations, were: The...
-
if assets are 1 1 5 , 0 0 0 , owner investments are 2 9 , 0 0 0 , loss of 2 5 , 5 0 0 and owner withdrawals are 6 , 9 0 0 . what are the liabilities
-
Go to the Webinars worksheet. DeShawn wants to determine the number of webinars the company can hold on Tuesdays and Thursdays to make the highest weekly profit without interfering with...
-
Q1. Consider the 128.103.112.0/17 block of IP addresses. This block of addresses must bedivided into six subnetworks that have each Node or POP at least 512 usable IP addresses forLAN. Total Nodes...
-
Many companies use negotiated transfer prices when Blank______. Multiple select question. there is no external market price there are cost savings on internal transfers commissions are paid to...
-
In August, Charlie's Corn Dogs incurred $22,500 in fair-related space rental fees, $16,000 in insurance costs, and $8,000 in travel costs. Under activity-based costing, Charlie's will allocate...
-
Valuation for extra expense coverage is (Search Chapter 4) a. actual loss sustained. b. a predetermined sum. c. an average of the actual loss sustained and the normal operating expenses. d. based on...
-
La empresa Metales del Norte SA de CV, planea ventas para el ao 2019, para lo cual requiere elaborar un presupuesto maestro con la informacin recabada al cierre del ao 2018
-
In condensed balance sheets, it is common for corporations to collapse all of their current assets and current liabilities into a single figure. Identify this figure. Net Working Capital Ending Cash...
-
What year end payment is equivalent to the monthly payments that would be paid on a $2,000 loan that must be repaid in one year at an interest rate of 1% per week?
-
A copper sphere of 10-mm diameter, initially at a prescribed elevated temperature T;, is quenched in a saturated (1 atm) water bath. Using the lumped capacitance method, estimate the time for the...
-
Consider again the design for Example 10.4. Using a system as shown and the compensator determined in Equation (10.46), select an appropriate prefilter. Compare the response of the system with and...
-
A hydrobot is under consideration for remote exploration under the ice of Europa, a moon of the giant planet Jupiter. Figure DP4.6(a) shows one artistic version of the mission. The hydrobot is a...
-
Consider the control of the robot shown in Figure P3.18.The motor turning at the elbow moves the wrist through the forearm, which has some flexibility as shown [16]. The spring has a spring constant...
-
The global market presents firms with more complex ethical issues than they would experience if operations were limited to one country and one culture. Moral standards vary across cultures. In some...
-
Bhopal is a city in central India with a population, in 1984 , of 800,000 . Because it was, at that time, home to the largest mosque in India, Bhopal was a major railway junction. Its main industries...
-
PricewaterhouseCoopers (or PwC, as it is known), one of the United States' "Big 4" accounting firms, has had a tax practice in Russia since the time that country changed from Communist rule. One of...
Study smarter with the SolutionInn App