Final answer:
The torque required to hold a lean at 45 degrees statically depends on factors like distance from the ankle joint to the center of mass and the weight of the body. It can be calculated by multiplying the force exerted by the muscle with the effective perpendicular lever arm.
Step-by-step explanation:
The torque required to hold a lean at 45 degrees statically depends on several factors, including the distance from the ankle joint to the center of mass and the weight of the body. To calculate the torque, you need to consider the perpendicular lever arm, which is the distance between the ankle joint and the line of force exertion. The torque can be calculated by multiplying the force exerted by the muscle with the effective perpendicular lever arm.
For example, in the case of a 75-kg man standing on his toes, the force in the Achilles tendon can be calculated by dividing the weight of the body (75 kg) by the sine of the angle of the lean (45 degrees) to find the vertical force on one foot. The force at the pivot of the lever system can be calculated by multiplying the force in the Achilles tendon by the effective perpendicular lever arm.
It's important to note that the specific values and calculations may vary depending on the individual's body weight and body position. Therefore, it's recommended to consult a biomechanics expert or a healthcare professional for a more accurate assessment of the torque required in a specific scenario.