Question: A makeshift swing is constructed by making a loop in one end of a rope and tying the other end to a tree limb. A

A makeshift swing is constructed by making a loop in one end of a rope and tying the other end to a tree limb. A child is sitting in the loop with the rope hanging vertically when the child's father pulls on the child with a horizontal force and displaces the child to one side. Just before the child is released from rest, the rope makes an angle of l.5° with the vertical and the tension in the rope is 280 N.

(a) How much does the child weigh?

(b) What is the magnitude of the (horizontal) force of the father on the child just before the child is released?

(c) If the maximum horizontal force the father can exert on the child is 93N what is the maximum angle with the vertical the rope can make while the father is pulling horizontally?

Step by Step Solution

★★★★★

3.33 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a and b With x rightward and y upward we assume t... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

2-P-M-EE (251).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

A rod at rest on Earth makes an angle of 10 with the x-axis. If the rod is moved along the x-axis, what happens to this angle, as viewed by an observer on the ground?

A daring ranch hand sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The constant speed of the horse is 10.0 m/s, and the distance from the limb to the level of...

The man pulls on the rope with a force F. Determine the moment that this force exerts about the base of the pole at O. Solve the problem two ways, i.e., by using a position vector from O to A, then O...

Read Text: The Modern Law of Torts A Contemporary Approach By Douglas Lee Donoho Chapter 2 Pages 19 - 40 Complete Assignment 2.1,Garratt; Spivey Problem2a; Assignments 2.2, 2.3, 2.4 Baska; Hendrix...

Problem 10. Consider a curving waterslide which you can assume is frictionless. A large child slides down the slide into the water. A smaller child decides to hop straight off the slide into the...

A 1250 keg car traveling at a speed of 25.0 m/s rounds a 175 m radios curve. 1. assuming the road is level, determine the coefficent of static friction car's tires and the between the road 2....

Scenario: Tom, who had one glass eye and walked with a cane, was waiting at the corner at a bus stop. Billy, a known troublemaker, walked up behind Tom and, thinking Tom wouldn't see him because he...

1. [-/1 Points] DETAILS SERPSE 10 7.2.OP.001. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A raindrop of mass 3.06 x 10" kg falls vertically at constant speed under the influence of gravity and air...

YOU have heard from a great many people who did something in the war, is it not fair and right that you listen a little moment to one who started out to do something in it but didn't? Thousands...

can i get a solution to this question please. Value: Document (include your file name) 15% of final grade How to complete: 1. Read the following Anniversary Party scheduling problem: As the project...

Sally Corporation has 80,000 shares of common stock (par value $8) outstanding. Required: Complete the following comparative tabulation based on two independent cases: Case 1: The board of directors...

You believe that you can make additional 15 EUR per hour after taxes and other costs, working 750 hours a year. However, you may assume that becoming a premium class photographer means that youll...

Use the market for loanable funds shown in the accompanying diagram to explain what happens to private savings, private investment spending, and the rate of interest if the following events occur....

When the following data set information is given, calculate the estimated value of linear regression's (B 1, B 0, 6^2 ). When X is -2.0, calculate the estimated value of linear regression's (9) N=30,...

Assume that your manager has asked you to prepare a short report concerning the external environment of your firm, Target. Target has recently been rocked by several setbacks (exiting the Canadian...

The balance sheet of Watson Company as of December 31, 20X1, follows. The following information has been extracted from the firm's accounting records: 1. All sales are made on account at $20 per...

Ben invested $7,500 twenty years ago with an insurance company that has paid him 6 percent simple interest on his funds. Charles invested $7,500 twenty years ago in a fund that has paid him 6 percent...

Students in a class take a quiz with eight questions. the number x of questions answered correctly can be approximated by the following probability distribution. x 0 1 2 3 4 5 6 7 8 P(x) 0.03 0.02...

Bill and Sally Kaplan have an annual spending plan that amounts to $39,500. If inflation is 3 percent a year for the next three years, what amount will the Kaplans need for their living expenses...

Suppose the departure angle Uo in Fig. 3.26 is 42.0 and the distance d is 3.00 m. Where will the dart and monkey meet if the initial speed of the dart is (a) 12.0 m/s (b) 8.0m/s (c) What will happen...

A man stands on the roof of a 15.0-m-tall building and throws a rock with a velocity of magnitude 30.0 m/s at an angle of 33.0 above the horizontal. You can ignore air resistance. Calculate (a) The...

Firemen are shooting a stream of water at a burning building using a high-pressure hose that shoots out the water with a speed of 25.0 m/s as it leaves the end of the hose. Once it leaves the hose,...

Erosion costs. Fat Tire Bicycle Company currently sells 40,000 bicycles per year. The current bike is a standard balloon-tire bike selling for $110, with a production and shipping cost of $30. The...

Stock X has a standard deviation of return of 10%. Stock Y has a standard deviation of 20%. The correlation coefficient between the stocks is 0.5. If you invest 60% of your funds in stock X and 40%...

Stellar Plastics is analyzing a proposed project. The company expects to sell 12,000 units, give or take 4 percent. The expected variable cost per unit is $7.00 and the expected fixed cost is...