A person performs a squat (deep knee bend) exercise, as shown below on the left, in...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A person performs a squat (deep knee bend) exercise, as shown below on the left, in order to strengthen their quadriceps muscles. The exercise begins with the person standing straight up. with knees fully extended (a=0°), and progresses as the person flexes their knee and hip joints. The figure below on the right describes the flexion of the knee joint as the exercise progresses, with the flexion angle increasing past 100° (a> 100°) by the completion of the squat. If done correctly (and safely!), this exercise is performed slowly and without significant acceleration or deceleration. For this reason, we can use static mechanical models to describe the exercise. 0-70 =70-100" >100 The figure below depicts the forces exerted on the patella (knee cap) by the quadriceps tendon and patellar tendon during this exercise. The angles between the quadriceps and patellar tendons and the horizontal are represented by B and y, respectively. T₁ Quadriceps Tendon Patella Femur BA Patellar Tendon Tibia T₂ (a) Considering the patella as a free body, draw the additional force vector that brings the patella into equilibrium. Describe the anatomical nature of this force. For the range 20° <<120°, the following model equations may be used: (1) B=10+ (2) y 100- (3) T₁ = 0.1871a2+0.8602a (4) T₂ = 0.77₁ Force in Newtons (b) Complete the table using model equations (1)-(4) and equilibrium analysis of the patella. Fill in the final column with the force that you added to the diagram on page 1. Knee Angle (a) Quadriceps Force Patellar Tendon (T1) Force (T2) 20° 45° 70° 95° 120° (c) For a 120°, draw the free body diagram of the patella in equilibrium. Label all force and angle values. A person performs a squat (deep knee bend) exercise, as shown below on the left, in order to strengthen their quadriceps muscles. The exercise begins with the person standing straight up. with knees fully extended (a=0°), and progresses as the person flexes their knee and hip joints. The figure below on the right describes the flexion of the knee joint as the exercise progresses, with the flexion angle increasing past 100° (a> 100°) by the completion of the squat. If done correctly (and safely!), this exercise is performed slowly and without significant acceleration or deceleration. For this reason, we can use static mechanical models to describe the exercise. 0-70 =70-100" >100 The figure below depicts the forces exerted on the patella (knee cap) by the quadriceps tendon and patellar tendon during this exercise. The angles between the quadriceps and patellar tendons and the horizontal are represented by B and y, respectively. T₁ Quadriceps Tendon Patella Femur BA Patellar Tendon Tibia T₂ (a) Considering the patella as a free body, draw the additional force vector that brings the patella into equilibrium. Describe the anatomical nature of this force. For the range 20° <<120°, the following model equations may be used: (1) B=10+ (2) y 100- (3) T₁ = 0.1871a2+0.8602a (4) T₂ = 0.77₁ Force in Newtons (b) Complete the table using model equations (1)-(4) and equilibrium analysis of the patella. Fill in the final column with the force that you added to the diagram on page 1. Knee Angle (a) Quadriceps Force Patellar Tendon (T1) Force (T2) 20° 45° 70° 95° 120° (c) For a 120°, draw the free body diagram of the patella in equilibrium. Label all force and angle values.
Expert Answer:
Related Book For
Posted Date:
Students also viewed these chemical engineering questions
-
Case Study: Quick Fix Dental Practice Technology requirements Application must be built using Visual Studio 2019 or Visual Studio 2017, professional or enterprise. The community edition is not...
-
The chairman of the marketing department at a large state university undertakes a study to relate starting salary (y) after graduation for marketing majors to grade point average (GPA) in major...
-
Roasters Limited is a coffee-blending firm. It produces a special blend of coffee known as "Utopia Blend" by mixing two grades of coffee "AB" and "QP" as follows: Material AB QP Standard mix ratio AB...
-
Phil and Linda are 25-year-old newlyweds and file a joint tax return. Linda is covered by a retirement plan at work, but Phil is not. a. Assuming Phil's wages were $27,000 and Linda's wages were...
-
In Exercises 920, find each product and write the result in standard form. (5 - 2i)
-
On March 13, 1963, Ernesto Miranda was arrested for kidnapping and rape and taken to a Phoenix police station. After being identified by the complaining witness, he was questioned by two police...
-
On January 1, 2014, Kessler Inc. had these stockholders equity balances. Common Stock , $1 par (2,000,000 shares authorized, 600,000 shares issued and outstanding).................$ 600,000 Paid-in...
-
What is the Federal Budget? Explain the process used by the government to create the budget. How does this process differ from the process described by your interviewee who you interviewed in week...
-
Create and test an utility class ArrayUtility containing various utility methods for arrays. 11. Construct a package "util" (under src folder), if not already created. Construct a sub-package "array"...
-
At the beginning of the year, a company had $ 1 3 2 , 0 0 0 of liabilities. During the year, assets increased by $ 1 7 2 , 0 0 0 and at year - end the assets equaled $ 3 9 6 , 0 0 0 . Liabilities...
-
Explain subsidiary company, parent company and minority interest consolidated company.
-
Given A whose factorization PDP-1 is shown below, write an expresssion for Ak where k represents an abitrary positive integer. The answer should written as a single matrix. -201 5 A = 1 (5 pts) Given...
-
An asset's book value is $19,900 on December 31, Year 5. Assuming the asset is sold on December 31, Year 5 for $13,100, What the company should record?
-
For 2 0 2 5 , Ivanhoe Inc. computed its annual postretirement expense as $ 2 2 8 , 4 0 0 . Ivanhoe s contribution to the plan during 2 0 2 5 was $ 1 6 6 , 1 0 0 . Prepare Ivanhoe s 2 0 2 5 entry to...
-
Solve the probleWS 1. Find aul Y bus ialrix (adrmittance rsalrix) for the lullowing puwer systerm. The ieartarice values are shuwn in the diagram. j0.25 j0.4 0.1 j0.16 30.2 HH
-
Using a graphing utility, graph y = cot -1 x.
-
In his book The Choice, economist Russ Roberts asks how voters would feel about a machine that could convert wheat into automobiles. a. Do you think that voters would complain that this machine...
-
Use the variable cost information in the following table to calculate average variable cost and average cost (assume fixed cost is $350), and then use this data to answer the questions that follow....
-
As we saw in the chapter, a lot turns on elasticity. Decades ago, Washington, D.C., a fairly small city, wanted to raise more revenue by increasing the gas tax. Washington, D.C., shares borders with...
-
A newspaper recently lowered its price from $5.00 to $3.00. As it did, the number of newspapers sold increased from 240,000 to 280,000. a. What was the newspapers elasticity of demand? b. Given that...
-
Suppose average movie ticket prices are $8.50 and attendance is 1.2 billion. The price of tickets rises to $9.50 and attendance rises to 1.4 billion. a. What happened to total revenue? b. If you were...
-
Which of the following producers would you expect to support a tax on beer? Which would not? Explain your answer. a. Producers of hard liquor. Cross-price elasticity with beer: 0.11. b. Producers of...
Study smarter with the SolutionInn App