Question
A bicep muscle shown in Fig. P2.3 can apply a force F measured in Newtons (N) as a function of the elbow angle ϕ, measured in degrees as described by the quadratic equation F(ϕ) = 6ϕ − 0.04ϕ2.
- For a bicep force of F = 200 N, solve the equation for ϕ by each of the following methods: factoring, completing the square, and the quadratic formula.
- Using your solution from part (a), determine the elbow angle ϕ where the force exerted by the bicep is maximum. In addition, calculate the maximum force Fmax.
- Plot F versus ϕ and clearly indicate the maximum force on the graph. Also clearly label the x-intercepts on the graph.

Transcribed Image Text:Ф
> F
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 5 steps with 2 images

Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
What is the graph? (part c)
Solution
by Bartleby Expert
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
What is the graph? (part c)
Solution
by Bartleby Expert
Knowledge Booster
Similar questions
- How would I figure out the adding and subtracting parallel vectors? how would I figure out the adding and subtracting anti-parallel vectors?arrow_forwardYou are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that these three vectors are Cartesian unit vectors. To answer this question, you must use the form: a1i + a2j + a3k Find a unit vector in the direction of qarrow_forwardIn the next sets, you are given the magnitude and one component. There is an ambiguity in determining the vector, because you can only determine the absolute value of the other component and not its sign; therefore, there are two possibilities. In these tables, you must enter the absolute value of the component and provide two angles for the vector, the first one assuming the other component is positive and the other assuming the component is negative. You must also provide two angles for the antiparallel vector in the same order. Set Set 5a 5b 6a 6b Ax |Axl 32 -26 Ayl Ay SENECIENTE 42 -21 Magnitude of A 62 62 Magnitude of A 72 64 Angle of A Angle of A 0 0 (pos A) (neg Ay) (pos Ay) (neg Ay) (pos A) (neg Ax) (pos A) (neg Ax) Angle of -A Angle of -A 0 0 (pos Ay) (neg A,) (pos Ay) (neg Ay) (pos A) (neg Ax) (pos A) (neg A₂)arrow_forward
- Vector A = 4.5 i+ 3.2 j. Vector B = 4.5 i + 4.2 j. The dot product of the two %3D is C = A•B (i.e. A dot B). The value of C is:arrow_forwardTwo vectors are given by a = 1.5î−4.0ĵ and b = −11.9î + 8.1ĵ. What is the magnitude of b? i already found out magnitude of b is 1.44 but how to calculate the angle between vector b and the positive x-axis?arrow_forwardA force is specified by the vector F = [(100)i + (-110)j + (70)k] N. Calculate the angles made by F with the positive x-, y-, and z-axes. Answers: ex= i 0 0y = i 0₂ = i Oarrow_forward
- Let C = A + B. Vector C has a length of 5.00 cm and points north. Vector A has length 2.30 cm and a direction of 58.0 degrees north of east. (Let north = +y and east= +x).a) Draw a vector addition diagram showing C = A + B and label all 3 vectors. Use a straight edge and draw them to scale in cm if possible (you can estimate the angle).b) What is the magnitude of vector B? c) What is the angle of B in degrees west of north? d) Let D = C x A (vector product of C and A). What is the magnitude and direction of vector D?e) What angle (in degrees) does vector E= 2.00i+ 4.00j-3.00k make with the +y axis?arrow_forwardProblem 4: Vector Addition. Vector A = 200 NZ45° counterclockwise from the z axis, and vector B = 300 N 270° counterclockwise from the y axis. Find the resultant R= A + B by addition of scalar components. Problem 5: Consider the picture below. Find the tension T, tension Ta tension T₂arrow_forwardPage 3 of 8 3. Vector A has a magnitude of 13.6 and is at an angle of 30.5° counterclockwise from the +x- axis. Vector B has a magnitude of 25.1 and is -50.3° from the +x-axis. a. Express the vectors in the unit vector notation and b. find the angle between them.arrow_forward
- I do not know how to get started with my graph. Does my x axis need to be between 7.84 or 15.68 and my y axis between 0.779 or 1.558. If so how should I start my graph and how much should I go up by with both x and y axis's. Please help! I am confused.arrow_forwardYou are wondering how high that hawk is, surveying your back yard from a perch at the top of an oak tree toward the back property line. Remembering that you learned about vectors in physics, you measure off two components of a vector from your feet to the bird. Let "x" be parallel to the back of your house, and "y" perpendicular to the house out to the base of the tree. The vector to the bird would be (x, y, z). If x is 49 and y is 70 meters, what would z be in meters such that the angle from your feet to the bird is 45 degrees?arrow_forwardProblem 4: Vectors A, B, and C are shown in Figure 4. The magnitudes of the three vectors are shown in parenthesis. a. What is the resultant vector R = A + B + C? Answer: R= -3.0î + 3.0ĵ b. What is R, the magnitude of R? Answer: R = 4.2 c. What is 8, the angle R makes with respect to the +x-axis? 0 = 180° - 45.0° B (B= 16.2) Figure 4: Vectors for Problem 4. 68.2° A (A = 10.0) 36.9° = 24.0 C(C=9.8) 135.0⁰ Xarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios