The human knee is composed of three main bones, the femur, the tibia, and the pa

Question

The human knee is composed of three main bones, the femur, the tibia, and the patella
(knee cap), held TOGETHER by ligaments acting as ropes. One of these is the
Posterior Cruciate Ligament (PCL) as seen in the diagram below.

Assume the PCL is cylindrical, with a length of 40 mm, and a diameter of 10 mm.
How much tensile force is required to stretch it by 0.1%. Assume Y = 108 N/m2.

Femur (thighbone) Articular cartilage Lateral collateral ligament (LCL) Anterior cruciate ligament (ACL) Patella - Medial collateral ligament (MCL) Meniscus pads Posterior cruciate ligament (PCL) Fibula Tibia tO (shinbone

Explanation / Answer

According to the question,

As we know that,

Tensile stress = young modulus * strain

So,

= 10^8 * ( change in length /original length)

Then,

=10^8 * (0.04/40)

=10^5 N/m^2

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