Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Question
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Chapter 9, Problem 67GP

(a)

To determine

To Find: The tension in the cable at lowest point.

(a)

Expert Solution
Check Mark

Answer to Problem 67GP

  0.29mg

Explanation of Solution

Given:

The weight of the flexible steel cable, mg

Formula used:

Let the tension at the lowest point, FT2

The tension at the points of attachment, FT1

  Physics: Principles with Applications, Chapter 9, Problem 67GP , additional homework tip  1

From the equilibrium condition in x-direction:

  Fx=0FT2FT1cos60°=0.....(1)

From the equilibrium condition in y-direction:

  Fy=0FT1sin60°12mg=0.....(2)

Calculation:

From equation (2):

  FT1sin60°12mg=0FT1=mg2sin60°=0.58mg

Substitute the value of FT1 in equation (1):

  FT2(0.58mg)cos60°=0FT2=0.29mg

Conclusion:

The value of tension at the lowest point is 0.29mg .

(b)

To determine

To find: The tension in the cable at point of attachment.

(b)

Expert Solution
Check Mark

Answer to Problem 67GP

  0.58mg

Explanation of Solution

Given:

The weight of the flexible steel cable, mg

Formula used:

Let the tension at the lowest point, FT2

The tension at the points of attachment, FT1

  Physics: Principles with Applications, Chapter 9, Problem 67GP , additional homework tip  2

From the equilibrium condition in x-direction:

  Fx=0FT2FT1cos60°=0.....(1)

From the equilibrium condition in y-direction:

  Fy=0FT1sin60°12mg=0....(2)

Calculation:

From equation (2):

  FT1sin60°12mg=0FT1=mg2sin60°=0.58mg

Conclusion:

The value of tension at the point of attachment is 0.58mg .

(c)

To determine

To calculate: The direction of the tension force in both cases.

(c)

Expert Solution
Check Mark

Explanation of Solution

Given:

The weight of the flexible steel cable, mg

Let the tension at the lowest point, FT2

The tension at the points of attachment, FT1

The direction of tension is shown in the diagram below.

  Physics: Principles with Applications, Chapter 9, Problem 67GP , additional homework tip  3

Conclusion:

The direction of tension force at the lowest point is along horizontal & at the point of attachment make an angle 60° with the x-direction.

Chapter 9 Solutions

Physics: Principles with Applications

Ch. 9 - Prob. 11QCh. 9 - Why is it not possible to sit upright in a chair...Ch. 9 - Why is it more difficult to do sit-ups when your...Ch. 9 - Explain why touching your toes while you are...Ch. 9 - Prob. 15QCh. 9 - Name the type of equilibrium for each position of...Ch. 9 - ( 17. ) Is the Young's modulus for a bungee cord...Ch. 9 - Prob. 18QCh. 9 - Prob. 19QCh. 9 - Three forces are applied to a tree sapling, as...Ch. 9 - Prob. 2PCh. 9 - 3(I) A tower crane ( Fig. 9-48a) must always be...Ch. 9 - What is the mass of the diver in Fig. 9-49 if she...Ch. 9 - Prob. 5PCh. 9 - Figure 9-50 shows a pair of forceps used to hold a...Ch. 9 - Prob. 7PCh. 9 - The two trees in Fig. 9-51 are 6.6 m apart. A...Ch. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Find the tension in the two cords shown in Fig....Ch. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - The force required to pull the cork out of the top...Ch. 9 - Prob. 16PCh. 9 - Three children are trying to balance on a seesaw,...Ch. 9 - A shop sign weighing 215 N hangs from the end of a...Ch. 9 - Prob. 19PCh. 9 - Prob. 20PCh. 9 - Prob. 21PCh. 9 - 22 (II) A 20.0-m-long uniform beam weighing 650 N...Ch. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Prob. 25PCh. 9 - Prob. 26PCh. 9 - A uniform rod AB of length 5.0 m and mass M=3.S kg...Ch. 9 - You are on a pirate ship and being forced to walk...Ch. 9 - Prob. 29PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 33PCh. 9 - Prob. 34PCh. 9 - Prob. 35PCh. 9 - If 25 kg is the maximum mass m that a person can...Ch. 9 - Prob. 37PCh. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - A marble column of cross-sectional area 1.4 m2...Ch. 9 - Prob. 41PCh. 9 - A sign (mass 1700 kg) hangs from the bottom end of...Ch. 9 - Prob. 43PCh. 9 - Prob. 44PCh. 9 - Prob. 45PCh. 9 - A steel wire 2.3 mm in diameter stretches by...Ch. 9 - Prob. 47PCh. 9 - Prob. 48PCh. 9 - Prob. 49PCh. 9 - Prob. 50PCh. 9 - Prob. 51PCh. 9 - (a) What is the minimum cross-sectional area...Ch. 9 - Prob. 53PCh. 9 - Prob. 54PCh. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - Prob. 57GPCh. 9 - Prob. 58GPCh. 9 - Prob. 59GPCh. 9 - Prob. 60GPCh. 9 - Prob. 61GPCh. 9 - Prob. 62GPCh. 9 - Prob. 63GPCh. 9 - Prob. 64GPCh. 9 - Prob. 65GPCh. 9 - Prob. 66GPCh. 9 - Prob. 67GPCh. 9 - Prob. 68GPCh. 9 - Prob. 69GPCh. 9 - Prob. 70GPCh. 9 - Prob. 71GPCh. 9 - Prob. 72GPCh. 9 - Prob. 73GPCh. 9 - Prob. 74GPCh. 9 - Prob. 75GPCh. 9 - Prob. 76GPCh. 9 - Prob. 77GPCh. 9 - Prob. 78GPCh. 9 - Prob. 79GPCh. 9 - Prob. 80GP
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