Pictured below is the tibia of a person standing still. The tibia is vertical an

Question

Pictured below is the tibia of a person standing still. The tibia is vertical and the reaction forces at the distal end li-e the ankle) are known and shown on the diagram There are two muscle forces acting on the tibia; the hamstrings and the quadriceps. The hamstrings are currently applying a 150.00 N as shown on the diagram. The quadriceps muscle force is unknown and is acting as shown in the diagram. If the tibia has a mass of 4.30 kg, what force is required in the quadriceps to maintain static equilibri hamstrings 150 N A quadriceps 35 5cm 15 cm 20 cm 35 cm 20 N 500 N

Explanation / Answer

balancing forces vertically:

Fhamstring cos 350 + Fquadriceps cos 200 + 500 = mg = 4.3 * 9.8

==> 150*0.8192 + Fquadriceps *0.9397 = -457.86

==> Fquadriceps = -618.0057 N

618N force on the quadriceps in the downward direction

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