# Me 3010 project 1 consider the planar linkage shown below

ME 3010 Project 1  Consider the planar linkage shown below. The crank (link with length R) will turn counter-clockwise with constant angular velocity. The slider will experience a force of 100 N directed to the left. Your task is to write a program that calculates the required input torque and the magnitude of the pin reaction forces for two revolutions of the input link. You will then use your program to determine how changing the dimension H changes the average magnitude of the pin reaction forces at pins A, B and C (refer to the free-body diagram for the location of these pins). The first task is to determine the coordinates ,s given  . The constraint equations that must be satisfied are: R L s cos( ) cos( )     (1) R L H sin( ) sin( )     (2) You are required to solve these equations using Newton’s method. The next task is to solve for the time derivatives of ,s given  (constant). Equations (1) and (2) may be differentiated to obtain the following linear systems of equation in the unknowns. You may use the MATLAB “” operator to solve these.         sin 1 sin cos 0 cos L R L s R                                  (3) Slider R L  H g s R = 0.5m L = 1.25m H = 0.25m = 2π rad/sec             2 2 2 2 sin 1 cos cos cos 0 sin sin L R L L s R L                                       (4) The next step is to draw the free-body diagrams and write the corresponding dynamic equations. Following is the free-body diagram. Note that we are neglecting friction on the slider. Ax Ay u T Bx By m1g Bx By Cx Cy m2g Cy Cx m3g N M PoA The resulting dynamics equations may be cast in matrix form as 1 1 1 1 2 2 2 2 2 3 3 1 0 1 0 0 0 0 0 1 0 1 0 0 0 ( ) 0 0 1 2 2 2 2 0 0 0 1 0 1 0 0 0 0 0 1 0 1 0 ( ) 0 0 0 2 2 2 2 0 0 0 0 1 0 0 x y x y x Ax m a Ay m a g R R R R S C S C Bx By m a Cx m a g L L L L Cy I S C S C T PoA m a                                                                         (5) where m1 = 10 kg, m2 = 25 kg, m3 = 10 kg and I2 = m2 L 2 /12         , cos( ),sin( ) , cos( ),sin( ) C S C S           (6) and 1 1 1 1 2 1 2 2 2 2 2 3 2 ˆ a R a a R R a s i                (7) with     1 2 ˆ ˆ cos( ) sin( ) 2 ˆ ˆ cos( ) sin( ) 2 R R i j L R i j         (8) 1 2 2 ˆ ˆ ˆ k k k          (9) You may use the MATLAB cross function to obtain the above cross products. Note that the accelerations are known functions of the derivatives of the three coordinates. Turn in a brief report containing the following: (i) title page (ii) introduction and objectives (iii) program design (choices for functions) (iv) results including plots (labeled) of simulation results for the base case  (H = 0.25m). 1.  and s vs.  2.  and s vs.  3.  and s vs.  4. A , B , C and T vs.  (v) include a plot displaying the average value of the magnitude of the pin  reaction forces over the complete cycle vs. H for the range    0 7 H 0 7 . . (vi) discussion of results including conclusion for part (v)

Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

## Calculate the price of your order

Total price:
\$0.00

How it works?

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

## Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.