A particle of mass m moves along a curve given in the table below At any...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A particle of mass m moves along a curve given in the table below At any time t, discuss the following points of the system in detail. a) An appropriate figure. b) Are there any constraints in the system? If yes mention it. c) Degree of freedom. d) Position vector. e) Velocity. f) Acceleration g) Kinetic energy h) Potential energy i) Generalized coordinates j) Lagrangian k) E. Lagrange's equations of motion 1) Conservation of total energy of the system. CONE CYLINDER SPHERE PARABOLOID HYPERBOLOID z = \+ y² x² + y² = 1 x² + y² + 2 = 1 z= r? + y? x² + y² – 2 = 1 RECTANGULAR r = 1 2 = 1-2 Z = r? 2 =2 -1 CYLINDRICAL Z= r 6 = T/4 p= csc 6 p= 1 p= cos o csc? p2 = -sec 20 SPHERICAL A particle of mass m moves along a curve given in the table below At any time t, discuss the following points of the system in detail. a) An appropriate figure. b) Are there any constraints in the system? If yes mention it. c) Degree of freedom. d) Position vector. e) Velocity. f) Acceleration g) Kinetic energy h) Potential energy i) Generalized coordinates j) Lagrangian k) E. Lagrange's equations of motion 1) Conservation of total energy of the system. CONE CYLINDER SPHERE PARABOLOID HYPERBOLOID z = \+ y² x² + y² = 1 x² + y² + 2 = 1 z= r? + y? x² + y² – 2 = 1 RECTANGULAR r = 1 2 = 1-2 Z = r? 2 =2 -1 CYLINDRICAL Z= r 6 = T/4 p= csc 6 p= 1 p= cos o csc? p2 = -sec 20 SPHERICAL
Expert Answer:
Related Book For
Posted Date:
Students also viewed these physics questions
-
A particle of mass m moves along a straight line with constant speed in the x direction, a distance b from the x axis (Fig. P13.14). Show that Keplers second law is satisfied by showing that the two...
-
A particle of mass m moves along the x-axis under a force F = ??m?2x. The amplitude is b. Show that the period is given by 4. T= dx, (11.83) where (11.84) Y =1+ 2c2 (2-2).
-
A particle of mass m moves along the x-axis so that its position x and velocity v = dx/dt satisfy m(v2 - v20) = k(x20 - x2) where v0, x0, and k are constants. Show by implicit differentiation that m...
-
A $250 suit is on sale for $190, and a $90 pair of shoes is on sale for $65. Find the average percent decrease in price for the 2 items.
-
Suppose a firm uses a constant WACC to calculate the NPV of all of its capital budgeting projects, rather than adjusting for the risk of the individual projects. What errors will the firm make in its...
-
How do the perspectives on competitive advantage differ when comparing brick-and-mortar stores to online businesses (e.g., Best Buy versus Amazon, Barnes & Noble versus Amazon, Old Navy versus Thread...
-
A steam turbine discharges \(5000 \mathrm{~kg} / \mathrm{h}\) of steam at \(40^{\circ} \mathrm{C}\) and 0.85 dry. The air leakage in the condenser is \(15 \mathrm{~kg} / \mathrm{h}\). The temperature...
-
The Lifestyle Clothes Company produced 24,000 units during April of the current year. The Cutting Department used 4,000 direct labor hours at an actual rate of $11.20 per hour. The Sewing Department...
-
On December 8, 1985, Gillian Stewart, her husband Keith Stewart, her brother Stuart Pettie, and his wife Shelley Pettie went to the Stage West, a dinner theatre in Edmonton for an evening of dinner...
-
Peyton Smith enjoys listening to all types of music and owns countless CDs. Over the years, Peyton has gained a local reputation for knowledge of music from classical to rap and the ability to put...
-
PART 2.Angela Duffy, opens her own law office on July, 1 2020. During the first month of operations, the following transactions occurred. 1. Invested BHD10,000 in cash in the law practice. 2....
-
A human generation is about 30 years, and the age of the universe is \(10^{17} \mathrm{~s}\). How many human generations have there been since the beginning of the universe? (Ignore the fact that...
-
A cube is placed on a table with a green side facing up. You know that the side facing down is also green but has a red dot in the middle of the green face. From where you are sitting, you can sec...
-
A gastrotrich is a small aquatic organism with a life span of about 3 days, and a giant tortoise has an average life span of 100 years. Make an order-of-magnitude estimate of the number of...
-
You are doing a calculation in which you must add two quantities \(A\) and \(B\). You know that \(A\) can be expressed as \(A=\frac{1}{2} a t^{2}\), where \(a\) has units of meters per second squared...
-
Translate this statement into a mathematical expression, using any symbols you wish, but include a "key" to the meaning of each symbol: A certain type of energy of an object is equal to the object's...
-
y = 5 1. vold Foo(int All) I 2. let \( \mathrm{n}= \) A.size(); 3. for \( (1=1 \) to \( n) \) ( 4. if \( (1=7) \) ) 5. Boo(1): I/lendif 6. / / /end for 7. \( \mathrm{j}=\mathrm{n} \) : a. while \(...
-
Rosalie owns 50% of the outstanding stock of Salmon Corporation. In a qualifying stock redemption, Salmon distributes $80,000 to Rosalie in exchange for one-half of her shares, which have a basis of...
-
If you move at the speed of light, what shape does the universe take in your frame?
-
The earth bulges slightly at the equator, due to the centrifugal force in the earth??s rotating frame. Show that the height of a point on the earth (relative to a spherical earth), is given by where...
-
Three identical cylinders with moments of inertia I = ?MR2 are situated in a triangle as shown in Fig. Find the initial downward acceleration of the top cylinder for the following two cases. Which...
-
If so, is it similar to one of the three formats illustrated in this chapter? If not, how is it different?
-
Do you know about the chart of accounts in your organization as it pertains to information you receive?
-
If so, did you receive the information in a formal seminar or in an informal manner, oneon-one with another individual? Do you think this was the best way? Why?
Study smarter with the SolutionInn App