A zoologist estimates that the jaw of a predator, Martes, is subjected to a forc
ID: 1801530 • Letter: A
Question
A zoologist estimates that the jaw of a predator, Martes, is subjected to a force P as large as 800 N. What forces T and M must be exerted by the temporalis and masseter muscles to support this value of P? Be sure to provide complete free body diagram(s) to support your equations of equilibrium for full credit.
A zoologist estimates that the jaw of a predator, Martes, is subjected to a force P as large as 800 N. What forces T and M must be exerted by the temporalis and masseter muscles to support this value of P? Be sure to provide complete free body diagram(s) to support your equations of equilibrium for full credit.Explanation / Answer
Fx = 0 T cos 22 – M cos 36 = 0
Fy = 0 T sin 22 – M sin (-36) – 800 N = 0
T cos 22 = M cos 36
T = M (cos 36 / cos 22)
M (cos 36 / cos 22) sin 22 – M sin (-36) –800 = 0
M (-0.00113269 - 0.9917788) = 800 N
-0.9929 M = 800 N
M = 805.71 N
T cos 22 – 805.71 cos 36 = 0
-0.9999 T – 805.71 (-0.128) = 0
T = -103.131 / 0.9999
T = 103.14 N
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