Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(590) Problem 7: The upper leg muscle (quadriceps) exerts a force of FQ = 1150 N

ID: 1769958 • Letter: #

Question

(590) Problem 7: The upper leg muscle (quadriceps) exerts a force of FQ = 1150 N which is carried by a tendon over the kneecap (the patella) at the angles shown in the figure 550 ©theexpertta.com 50% Part (a) Find the magnitude of the force, in newtons, exerted by the kneecap on the upper leg bone (the femur) at the point P 50% Part (b) What angle does the force from the kneecap act at, in degrees measured counterclockwise from the positive x-direction shown in the figure? Grade Summary = 3501 0% 100% Deductions sin0 cotan0asin acos0 atan0 acotan sinh0 cosh0tanh cotanh0 Potential Submissions Attempts i detailed view cos tan 7 8 9HOME emaining:3 % per attempt) 0% 0% 096 096 Degrees O Radians BACKSPACE DEL CLEAR Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback.

Explanation / Answer

a) vertical component = 1150 sin 55 - 1150 sin 75

= -168.79 N

horizontal component = 1150 cos 75 + 1150 cos 55

= 957.25 N

magnitude of force F = sqrt [ 168.792 + 957.252]

magnitude of force = 972 N

b) angle theta = tan-1(168.79 / 957.25)

angle = 10 deg