The curve traced out by a point P on the circumference of a circle as the circle
Question:
The curve traced out by a point P on the circumference of a circle as the circle rolls along a straight line is called a cycloid. If the circle has radius r and rolls along the x-axis and if one position of P is the origin, find parametric equations for the cycloid.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (2 reviews)
We choose as parameter the angle of rotation of the circle 0 when P is at the origin Suppose the ...View the full answer
Answered By
YOGENDRA NAILWAL
As I'm a Ph.D. student, so I'm more focussed on my chemistry laboratory. I have qualified two national level exams viz, GATE, and NET JRF (Rank 68). So I'm highly qualified in chemistry subject. Also, I have two years of teaching experience in this subject, which includes college teacher as well as a personal tutor. I can assure you if you hire me on this particular subject, you are never going to regret it.
Best Regards.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Find the area under one arch of the trochoid of Exercise 40 in Section 10.1 for the case d < r. In Exercise 40 Let P be a point at a distance from the center of a circle of radius r. The curve traced...
-
A wheel of radius a rolls along a horizontal straight line without slipping. Find parametric equations for the curve traced out by a point P on a spoke of the wheel b units from its center. As...
-
A cycloid is a curve traced out by a point p on the rim of a wheel as it rolls along the ground. Usingthe coordinate system shown in Figure 8.27, show that the curve has the parametric representation...
-
3. (15 pts.) The random variables X and Y have joint density function fxx(x, y) x-?y?, x > 1, y > 1. Compute the cdf and pdf of the random variable U = XY.
-
A cylinder fitted with a piston restrained by a linear spring contains 1 kg of R-12 at 100C, 800 kPa. The spring constant is 50kN/m, and the piston cross-sectional area is 0.05 m2. A valve on...
-
What kinds of diseases would be expected to occur as a result of lack of T or B lymphocytes?
-
Do you have any advice for those starting a career as a fashion communication professional? LO.1
-
Montana Company signs a five-year capital lease with Elway Company for office equipment. The annual lease payment is $20,000, and the interest rate is 8%. Required 1. Compute the present value of...
-
Which of the following most likely would be classified as restru
-
In the inverting amplifier circuit of Fig. 5-11, v 1 (t) is the input and v 2 (t) is the output. Let R i = , R o = 0, and assume the 741 op amp model specified by Example 5.26. (a) Find the circuits...
-
Represent decimal 3984 in the 2421 code of Table 3-6. Complement all bits of the coded number and show that the result is the 9's complement of 3984 in the 2421 code. Table 3-6 Decimal BCD digit 8421...
-
What are the principal features of DSGE models?
-
Q3: In the section illustrated in Figure (1) the surface 1-4-7 is insulated. The convection heat transfer coefficient at surface 1-2-3 is 28W / (m ^ 2) ."C. The thermal conductivity of the solid...
-
Which of the following best demonstrates the Six Cs of Communication, "you" approach, and positive emphasis? Question 1 4 options: It will be February 1 0 before you will receive your materials. It...
-
please answer all the questionss.,.within 30 minutes. make sure the explanation and reasons are explained in very detailed manner as in why the chosen option is right and why other options are wrong....
-
1) A net force of 20 N is applied to the right on an object. If the acceleration of the object is 2.5 m/sec, a) What is the mass of the object? (8 kg) b) What is the weight of the object? (78.4 N) c)...
-
BO Corp. has a $2,500 capital budget, and has access to the following 5 independent projects. In all these 5 projects, cash outflows occur only in year O. Calculate the total NPV of the project(s)...
-
A well-insulated heat exchanger is to heat water (cp = 4.18 kJ/kgC) from 25 to 60C at a rate of 0.50 kg/s. The heating is to be accomplished by geothermal water (cp = 4.31 kJ/kgC) available at 140C...
-
Identify the Critical Infrastructure Physical Protection System Plan.
-
In problem, graph the function f by starting with the graph of y = x 2 and using transformations (shifting, compressing, stretching, and/or reflection). If necessary, write f in the form f(x) = a(x ...
-
In problem, solve each inequality. 2(2x 2 - 3x) > -9
-
In problem, graph the function f by starting with the graph of y = x 2 and using transformations (shifting, compressing, stretching, and/or reflection). If necessary, write f in the form f(x) = a(x ...
-
You borrowed $15,000 for buying a new car from a bank at an interest rate of 12% compounded monthly. This loan will be repaid in 48 equal monthly installments over four years. Immediately after the...
-
Discuss how debt restructuring, settlement, or modification works. Discuss the journal entries for debtor and creditor
-
Could CNL be a viable business? If so, under what conditions and what level of production (and, since production is directly related to production workers, employees)? All information provided for...
Study smarter with the SolutionInn App