Question: In Problem 8.41, we found that the force of the tibia (shinbone) on the ankle joint for a person (of weight 750 N) standing on

In Problem 8.41, we found that the force of the tibia (shinbone) on the ankle joint for a person (of weight 750 N) standing on the ball of one foot was 2800 N. The ankle joint therefore pushes upward on the bottom of the tibia with a force of 2800 N, while the top end of the tibia must feel a net downward force of approximately 2800 N (ignoring the weight of the tibia itself). The tibia has a length of 0.40 m, an average inner diameter of 1.3 cm, and an average outer diameter of 2.5 cm. (The central core of the bone contains marrow that has negligible compressive strength.)
(a) Find the average cross sectional area of the tibia.
(b) Find the compressive stress in the tibia.
(c) Find the change in length for the tibia due to the compressive forces.

2800 N 20S0N 750N 1.3 cm 0.40 m 2800 N 2.5 cm Cross section 2050 N 750 N 2800 N 2800 N

Step by Step Solution

★★★★★

3.39 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Approximate the tibia as two concentric circles Find the average cros... 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)

956-P-M-L-M (1427).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

A long, straight wire carries current I = 100 A in a region where the magnetic field has a magnitude B = 10 T, but it is found that the force on the wire is zero. Explain how that can be.

Referring to Prob. 10.41 and using the value found for the force exerted by the hydraulic cylinder AB, determine the change in the length of AB required to raise the 120-lb load 1.2 in. Problem...

Find the tension in the Achilles tendon and the force that the tibia exerts on the ankle joint when a person who weighs 750 N supports himself on the ball of one foot. The normal force N = 750 N...

Solve each problem. Write all the necessary work to justify your answers to incur full points. 1. (15 points) Find the tension in the Achilles tendon and the force that the tibia exerts on the ankle...

A soccer goalkeeper takes a goal kick and the ball leaves his foot with a vertical velocity of 15 m/s and a horizontal velocity of 25 m/s. What is the resultant velocity of the ball? A soccer...

Consider the tibia (shinbone) for a person of weight 750 N standing on the ball of one foot as in the following figure. The ankle joint pushes upward on the bottom of the tibia with a force of 2800...

Chapter 4 - Work, Power and Energy 1. How much kinetic energy does a 2 kg discus have if its velocity is 20 m/s? 3. At the top of a giant swing on the gymnastics high bar, Candy's velocity is 1 m/s,...

A person stands on the ball of one foot. The normal force due to the ground pushing up on the ball of the foot has magnitude 750 N. Ignore the weight of the foot itself. The other significant forces...

Problem 5.7 Consider a person standing on tiptoe on one foot. For this position, the forces acting on the foot are shown in Fig. 5.45. Point A is the point of attachment of the Achilles tendon...

Chapter 38 from Business Law and the Legal Environment was adapted by The Saylor Foundation under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 license without attribution as requested...

Compute the following problem. Consider the age(in years) and diastolic blood pressure(in mmHg) of 15 patients at FX Clinic in Zamboanga City. Age 17 17 20 21 25 28 31 33 36 37 38 42 43 44 45 Dias 16...

Directions: 1. Identify the name (filing segment) under which each business document should be filed. 2. Index the name. Code each name by keying each unit of the filing segment in the appropriate...

Question 3 of 1 5 . Which of the following could result in a casualty loss deduction? Damage to personal - use property caused by an automobile accidert. Damage to personal - use properfy caused by a...

In what ways is the RBA more independent of the federal government than other institutions like, for instance, the Federal Treasury?

A double-convex lens is to be made of glass with an index of refraction of 1.5. One surface is to have twice the radius of curvature of the other and the focal length is to be 60 mm. What is the (a)...

An Object is placed against the center of a thin lens and then moved away from it along the central axis as the image distance i is measured Figure gives i versus object distance p out to ps = 60cm,...

You produce an image of the Sun on a screen, using a thin lens whose focal length is 20.0 cm. What is the diameter of the image? (See Appendix C for needed data on the Sun.)

You can purchase an optical scanner today for $400 The scanner provides benefits worth $60 a year The expected We of the scanner is 10 years Scanners are expected to decrease in price by 20% per year...

please do this question Consider the following table, which gives a security analyst's expected return on two stocks for two particular market returns. a. What are the betas of the two stocks? (Round...

Prove that the given argument is valid. First find the form of the argument by defining predicates and expressing the hypotheses ar the conclusion using the predicates. Then use the rules of...