A pendulum of mass m is held horizontally as shown in the figure. The massless string...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A pendulum of mass m is held horizontally as shown in the figure. The massless string of length L= d+r is held taut, and the pendulum is released. At the bottom of the path of the pendulum, the string comes into contact with a peg positioned a vertical distance d from the point of suspension of the pendulum. (a) Just before the string comes into contact with the peg, derive an expression for the speed of the pendulum bob. Your expression may contain some or all of the following quantities: m, g, L, d, r. (b) Derive an expression for the tension in the string just before the string comes into contact with the peg. Your expression may contain some or all of the following quantities: m, g, L, d, r. (c) What is the speed of the pendulum just after the string hits the peg? (d) What is the tension of the string just after the string hits the peg. (e) After the string hits the peg, what is the maximum height that is acheived by the pen- dulum bob. What speed does it have at this point? (f) The string will break if the tension in the string exceeds 9mg. What is the largest value of r that will result in the string breaking. Your expression for r should be expressed as a fraction of the string length L. m L d peg A pendulum of mass m is held horizontally as shown in the figure. The massless string of length L= d+r is held taut, and the pendulum is released. At the bottom of the path of the pendulum, the string comes into contact with a peg positioned a vertical distance d from the point of suspension of the pendulum. (a) Just before the string comes into contact with the peg, derive an expression for the speed of the pendulum bob. Your expression may contain some or all of the following quantities: m, g, L, d, r. (b) Derive an expression for the tension in the string just before the string comes into contact with the peg. Your expression may contain some or all of the following quantities: m, g, L, d, r. (c) What is the speed of the pendulum just after the string hits the peg? (d) What is the tension of the string just after the string hits the peg. (e) After the string hits the peg, what is the maximum height that is acheived by the pen- dulum bob. What speed does it have at this point? (f) The string will break if the tension in the string exceeds 9mg. What is the largest value of r that will result in the string breaking. Your expression for r should be expressed as a fraction of the string length L. m L d peg
Expert Answer:
Answer rating: 100% (QA)
We can analyze the motion of the pendulum in different stages a Speed of the pendulum bob just before the string hits the peg At this point the pendul... View the full answer
Related Book For
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
Posted Date:
Students also viewed these physics questions
-
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
-
QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
-
In Problems, assume that the populations are normally distributed and that independent sampling occurred. (a) Test the hypothesis that 1 2 at the a = 0.1 level of significance for the given sample...
-
Advanced Technologies Inc. reported the following information related to its shareholders' equity on January 1: Common shares, 1,000,000 authorized, 500,000 shares issued..............$1,500,000...
-
3. (10 points) A model to test the effect of growth in government spending, INVRAT is the ratio of gross domestic investment go GDP, and LAB is the size of the labor force. Under what assumptions...
-
Carburettor is used for (a) S.I. engine (b) C.I. engine (c) Gas engine (d) none of the above
-
Refer to Apples financial statements in Appendix A to answer the following. 1. Identify and write down the revenue recognition principle as explained in the chapter. 2. Review Apples footnotes (in...
-
A Body with a mass of 1000kg moves horizontally from its original position A to point B, 24 m away in 3 seconds. The body is then accelerated for 2.5 s to point C. The new velocity at Point C is 12...
-
To increase sales from their present annual $ 1.5 million, ABC Company, a wholesaler, may try more liberal credit standards. Currently, the firm has an average collection period of 30 days but is...
-
Mestek Company has the following information related to a new project: Initial investment: $1,580,000; Fixed costs: $320,000; Variable costs: $14.80 per unit; Selling price: $31.50 per unit; Discount...
-
In preparing a bank reconciliation, what is the proper treatment of a deposit in transit? 1. Add to the reported cash balance in the company's books. 2. Add to the reported cash balance in the bank...
-
What is the correlation between stocks? How does correlation play a part of portfolio construction? 3. Compute the "beta" for each stock. What does beta measure? (Use SPY as the measurement of the...
-
A project capitalized for P50,000 invested in depreciable assets will earn a uniform annual income of P19,849 in 10 years. The costs of operation and maintenance total P9,000a year, taxes and...
-
Consider the following system: (A) Apply the elementary row operations to the corresponding augmented matrix to the system above in order to write it in an echelon form. (solution) (B) Determine the...
-
Dao Vang, CPA, was retained by Universal Cable to prepare financial statements for April 2015. Vang accumulated all the ledger balances per Universals records and found the following. UNIVERSAL CABLE...
-
Subtract the polynomials. (-x+x-5) - (x-x + 5)
-
A single slit is illuminated by light of wavelengths a and b chosen so that the first diffraction minimum of the ab component coincides with the second minimum of the b component. (a) If b = 350nm,...
-
An experimenter arranges to trigger two flashbulbs simultaneously, producing a big flash located at the origin of his reference frame and a small flash at x = 30.0 km. An observer moving at a speed...
-
Panic escape. Figure 2-22 shows a general situation in which a stream of people attempt to escape through an exit door that turns out to be locked. The people move toward the door at speed vS: 3.50...
-
Amherst Metal Works produces two types of metal lamps. Amherst manufactures 20,000 basic lamps and 5,000 designer lamps. Its simple costing system uses a single indirect-cost pool and allocates costs...
-
Amherst Metal Works produces two types of metal lamps. Amherst manufactures 20,000 basic lamps and 5,000 designer lamps. Its activity-based costing system uses two indirect-cost pools. One cost pool...
-
How do managers refine a costing system?
Study smarter with the SolutionInn App