What force should the woman in Figure 9.45 exert on the floor with each hand to do a push-up? Assume that she moves up at a constant speed. Also, the triceps muscle at the back of her upper arm has an effective lever arm of 1.75 cm, and she exerts force on the floor at a horizontal distance of 20.0 cm from the elbow joint. Calculate the magnitude of the force in each triceps muscle, and compare it to her weight.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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What force should the woman in Figure 9.45 exert on the floor with each hand to do a push-up? Assume that she moves up at a constant speed. Also, the triceps muscle at the back of her upper arm has an effective lever arm of 1.75 cm, and she exerts force on the floor at a horizontal distance of 20.0 cm from the elbow joint. Calculate the magnitude of the force in each triceps muscle, and compare it to her weight.

**Image Description: Physics of a Plank Exercise**

This diagram illustrates the forces acting on a person performing a plank exercise. The person depicted has a mass (\(m\)) of 50.0 kg and is positioned horizontally. 

**Key Elements:**

- **Center of Gravity (CG):** The CG is marked and indicates the point at which the weight (w) of the person is concentrated vertically downward.

- **Forces:**
  - **\(F_p\):** The force exerted by the ground on the feet of the person (reaction force at the feet), directed upwards.
  - **\(F_{\text{reaction}}\):** The force exerted by the ground on the hands of the person (reaction force at the hands), also directed upwards.

- **Distances:**
  - The distance from the feet to the center of gravity is 0.90 meters.
  - The distance from the center of gravity to the hands is 1.50 meters.

The diagram helps in understanding how forces and distances are balanced to maintain the plank position, with the person’s weight distributed between their hands and feet. This setup is crucial for discussions on torque and equilibrium in physics.
Transcribed Image Text:**Image Description: Physics of a Plank Exercise** This diagram illustrates the forces acting on a person performing a plank exercise. The person depicted has a mass (\(m\)) of 50.0 kg and is positioned horizontally. **Key Elements:** - **Center of Gravity (CG):** The CG is marked and indicates the point at which the weight (w) of the person is concentrated vertically downward. - **Forces:** - **\(F_p\):** The force exerted by the ground on the feet of the person (reaction force at the feet), directed upwards. - **\(F_{\text{reaction}}\):** The force exerted by the ground on the hands of the person (reaction force at the hands), also directed upwards. - **Distances:** - The distance from the feet to the center of gravity is 0.90 meters. - The distance from the center of gravity to the hands is 1.50 meters. The diagram helps in understanding how forces and distances are balanced to maintain the plank position, with the person’s weight distributed between their hands and feet. This setup is crucial for discussions on torque and equilibrium in physics.
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