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We can model the walking gait of a person as a swing of the front leg and torso about the point where the front foot is planted (shown with a red circle in the figure) and a rotation of the trailing leg about the center of mass (CM) of the person. If each leg of this 78.0 kg person is 85.0 cm long and has a mass of 13.1 kg, and 8, = 0,= 20.0°, what is the angular momentum (in kg. m²/s) of each leg about the center of mass of the person if the sequence of images shown in the figure spans 1.30 s? (Model each leg as a long, thin rod that does not bend at the knee.)

We can model the walking gait of a person as a swing of the front leg and torso about the point where the front foot is planted (shown with a red circle in the figure) and a rotation of the trailing leg about the center of mass (CM) of the person. If each leg of this 78.0 kg person is 85.0 cm long and has a mass of 13.1 kg, and 8, = 0,= 20.0°, what is the angular momentum (in kg. m²/s) of each leg about the center of mass of the person if the sequence of images shown in the figure spans 1.30 s? (Model each leg as a long, thin rod that does not bend at the knee.)

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Walking with a steady cadence is very important for covering long distances efficiently. How we place our feet, and how quickly we walk, also depends on the roughness of the surface we are walking upon and on the slope of the surface: we walk carefully on slippery surfaces, and take smaller steps when hiking up a hill. When we are walking at constant speed in a fixed direction, the horizontal and vertical components of the acceleration of our center of mass must be zero. In addition, the sum of torques about the body's center of mass must also be zero. Consider the situation shown in the figure below. XCM XCM XCM ALLA XCM XCM We can model the walking gait of a person as a swing of the front leg and torso about the point where the front foot is planted (shown with a red circle in the figure) and a rotation of the trailing leg about the center of mass (CM) of the person. If each leg of this 78.0 kg person is 85.0 cm long and has a mass of 13.1 kg, and 6, = 0,= 20.0°, what is the angular momentum (in kg - m²/s) of each leg about the center of mass of the person if the sequence of images shown in the figure spans 1.30 s? (Model each leg as a long, thin rod that does not bend at the knee.) kg - m²/s
Transcribed Image Text:Walking with a steady cadence is very important for covering long distances efficiently. How we place our feet, and how quickly we walk, also depends on the roughness of the surface we are walking upon and on the slope of the surface: we walk carefully on slippery surfaces, and take smaller steps when hiking up a hill. When we are walking at constant speed in a fixed direction, the horizontal and vertical components of the acceleration of our center of mass must be zero. In addition, the sum of torques about the body's center of mass must also be zero. Consider the situation shown in the figure below. XCM XCM XCM ALLA XCM XCM We can model the walking gait of a person as a swing of the front leg and torso about the point where the front foot is planted (shown with a red circle in the figure) and a rotation of the trailing leg about the center of mass (CM) of the person. If each leg of this 78.0 kg person is 85.0 cm long and has a mass of 13.1 kg, and 6, = 0,= 20.0°, what is the angular momentum (in kg - m²/s) of each leg about the center of mass of the person if the sequence of images shown in the figure spans 1.30 s? (Model each leg as a long, thin rod that does not bend at the knee.) kg - m²/s
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