**Understanding Torque in the Human Arm**You hold a softball with a weight of 1.80 N in your hand as shown in the figure. Your arm is moving, but at the instant shown, your arm is horizontal. Consider your forearm and hand to be a uniform rod with a mass of 1.80 kg, and the distance between your elbow joint and the ball in your hand is \(2L = 32.0 \, \text{cm}\). Your biceps exerts an upward, vertical force of 12.0 N on your forearm and is attached a distance of \(d = 2.00 \, \text{cm}\) from your elbow.**Diagram Explanation:**- The diagram depicts a horizontal arm holding a ball, with forces and distances labeled.- Biceps force (12.0 N) is applied upward near the elbow.- The weight of the forearm/hand (Mg) acts downward at a midpoint of \(L\).- Ball's weight (1.80 N) acts downward at the end of the forearm (\(2L\)).**Problem Questions:**(a) Using your elbow joint as the axis of rotation, determine the magnitude of the net torque acting about your elbow due to the weight of your forearm/hand, the weight of the ball, and the force applied by your bicep.- **Answer:** \(-9.73 \, \text{N} \cdot \text{m}\)(b) In which direction will your forearm and hand rotate, given the signed value of the net torque calculated in part (a)?- Options: - clockwise - no rotation - counterclockwiseThis exercise helps in understanding the application of torque and rotational motion in biomechanics by modeling the forces acting on the human arm.

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You hold a softball with a weight of 1.80 N in your hand as shown in the figure. Your arm is moving, but at the instant shown, your arm is horizontal. Consider your forearm and hand to be a uniform rod with a mass of 1.80 kg and the distance between your elbow joint and the ball in your hand is 2L = 32.0 cm. Your biceps exerts an upward, vertical force of 12.0 N on your forearm and is attached a distance of d = 2.00 cm from your elbow. Biceps Mg (a) Using your elbow joint as the axis of rotation, determine the magnitude of the net torque acting about your elbow due to the weight of your forearm/hand, the weight of the ball, and the force applied by your bicep. -9.73 N m (b) In which direction will your forearm and hand rotate, given the signed value of the net torque calculated in part (a)? clockwise O no rotation O counterclockwise

You hold a softball with a weight of 1.80 N in your hand as shown in the figure. Your arm is moving, but at the instant shown, your arm is horizontal. Consider your forearm and hand to be a uniform rod with a mass of 1.80 kg and the distance between your elbow joint and the ball in your hand is 2L = 32.0 cm. Your biceps exerts an upward, vertical force of 12.0 N on your forearm and is attached a distance of d = 2.00 cm from your elbow. Biceps Mg (a) Using your elbow joint as the axis of rotation, determine the magnitude of the net torque acting about your elbow due to the weight of your forearm/hand, the weight of the ball, and the force applied by your bicep. -9.73 N m (b) In which direction will your forearm and hand rotate, given the signed value of the net torque calculated in part (a)? clockwise O no rotation O counterclockwise

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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