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The chewing muscle, the masseter, is one of the strongest in the human body. It

ID: 1536259 • Letter: T

Question

The chewing muscle, the masseter, is one of the strongest in the human body. It is attached to the mandible (lower jawbone) The jawbone is pivoted about a socket just in front of the auditory canal. The forces acting on the jawbone are equivalent to those acting on the curved bar as shown in the figure. C is the force exerted against the jawbone by the food being chewed, T is the tension in the masseter, and R is the force exerted on the mandible by the socket. Find (a) T and (b) Rif you bite down on a piece of steak with a force of 51.7 N Neglect the weight of the jawbone. T N (plusminus + 2 N) R N(plusminus 2 N) Source: Serway and Faughn, College Physics, 5th edition, Problem 8.13 A 17, 8-kg floodlight in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole. A cable connected to the beam helps to support the light.

Explanation / Answer

W = 51.7 N

Fnet = Fc x (7.5 + 3.5) cm - T x 3.5 cm =0

T = 51.7 x 11/3.5 = 162.5 N

Hence, T = 162.5 N

F + R = T

R = T - F

R = 162.5 - 51.7 = 110.8 N

Hence, R = 110.8 N

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