Rod OA rotates about the fixed point O so that point A travels on a circle of
Question:
Rod OA rotates about the fixed point O so that point A travels on a circle of radius r. Connected to point A is another rod AB of length L > 2r, and point B is connected to a piston. See the figure. Show that the distance x between point O and point B is given by
where θ is the angle of rotation of rod OA.
.2 Vr cos² 0 + L² – ? x = r cos 0 + - х- —
Step by Step Answer:
Use the Law ...View the full answer
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Mathematics questions
-
Show that the length d of a chord of a circle of radius r is given by the formula where is the central angle formed by the radii to the ends of the chord. See the figure. Use this result to derive...
-
If two sides a and b and the included angle C are known in a triangle, then the area K is found using the formula K = _______.
-
Find the area of triangle. Round answers to two decimal places. 6 5 8
-
An analyst predicted the following: 1. Sales of $1,276 million. 2. Core profit margin of 5 percent. 3. Asset turnover of 2.2. 4. Core other operating income and unusual items are zero. The firm's...
-
How are job order and process costing similar? How do they differ?
-
Keiji Jones is the owner of a small retail business operated as a sole proprietorship. During 2022, his business recorded the following items of income and expense: a. Compute taxable income...
-
Based on the \(v(t)\) curve in Figure P3.39, explain whether each of these statements is necessarily true for the time interval shown: (a) The acceleration is constant. (b) The object passes through...
-
Jarlsberg Cheese Company has developed a new cheese slicer called Slim Slicer. The company plans to sell this slicer through its catalog, which it issues monthly. Given market research, Jarlsberg...
-
When Maria began working for the packaging company in 2013, her first name was Tony. In 2018, she was accepted in the gender identity clinic and began transition from living as a man to living as a...
-
Callen Inc. has accumulated minimum tax credits of $1.3 million from tax years prior to 2018. The following are Callens regular tax before credits for 2018 through 2021. Complete the following table...
-
Clint is building a wooden swing set for his children. Each supporting end of the swing set is to be an A-frame constructed with two 10-foot-long 4 by 4s joined at a 45 angle. To prevent the swing...
-
For any triangle, show that where Use a Half-angle Formula and the Law of Cosines. s(s c) cos 2 ab || (a + b + c).
-
For what functions should a human resources cycle have controls?
-
Develop the Steve Beer company. Think about the above needs, develop a production and business plan, and consider what else the company needs above the 4 elements above to be successfu?
-
Scores (X) of students on a college entrance examination are normally distributed with =555 and = 26. If you select one student at random, what is the probability that the selected student will have...
-
Matt earns $10.10 per hour and works 37.5 hours per week. Calculate Matt's regular bi-weekly earnings.
-
Consider a undamped linear spring-mass system governed by Equation of motion mx+kx Fcos wt With parameter, m = 1 kg, k = 400 N/m, F = 100 N, 5 rad/s and initial displacement x(0) 10 mm, and initial...
-
The owner of the company tells you that as the general manager one of your critical roles is to train, counsel, motivate and direct your subordinates. What role does this represent?
-
What is a short-term lease? Describe lessee accounting for a short-term lease.
-
The Ranch 888 Noodle Company sells two types of dried noodles:ramen, at $6.50 per box, and chow fun, at $7.70 per box. So farthis year, the company has sold a total of 110,096 boxes ofnoodles,...
-
For the following exercises, sketch the graph of each equation. f(x) = 2x 1
-
For the following exercises, write an equation for the lines graphed. x 100 mas 9 $1 Sp fram 34 -24 24 LE ngine -
-
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs show the population and the year over the ten-year...
-
Amazon is arguably the leader in Warehousing volume and innovation, with 45,000 robots, thanks to its acquisition of Kiva Robotics, but still maintaining a warehousing human workforce of 200,000. For...
-
Solve it using post optimality analysis: 1. Sugarco can manufacture three types of candy bar. Each candy bar consists totally of sugar and chocolate. The compositions of each type of candy bar and...
-
Appendix A Chart of Accounts MyBank Cheque Account (BSB: 111-111 Acc no: 88888888) 5-0000 Cost of Sales 5-1000 5-4000 6-0000 Expenses Purchases Freight Paid on Purchases Advertising 1-0000 Assets...
Study smarter with the SolutionInn App