A man holds a 183-N ball in his hand, with the forearm horizontal (see the figure). He can support the ball in this position because of the flexor muscle force M→, which is applied perpendicular to the forearm. The forearm weighs 24.5 N and has a center of gravity as indicated. Find (a) the magnitude of M→ and the (b) magnitude and (c) direction (as a positive angle counterclockwise from horizontal) of the force applied by the upper arm bone to the forearm at the elbow joint. **Problem Description:**A man holds a 183-N ball in his hand, with the forearm horizontal. He can support the ball in this position because of the flexor muscle force \( \vec{M} \), which is applied perpendicular to the forearm. The forearm weighs 24.5 N and has a center of gravity as indicated. Find (a) the magnitude of \( \vec{M} \) and the (b) magnitude and (c) direction (as a positive angle counterclockwise from horizontal) of the force applied by the upper arm bone to the forearm at the elbow joint.**Diagram Explanation:**The diagram illustrates a human arm holding a ball. Key elements include:- The **Upper arm bone** is shown with the forearm held horizontal.- The **Flexor muscle** is depicted with an arrow labeled \( M \), indicating the direction and point of application. This force is applied perpendicularly to the forearm.- The **Elbow joint** is marked as the pivot point of the forearm.- A **ball** in the hand is represented with arrows indicating weight and dimensions relative to the elbow joint.- Measurements included in the diagram: - Distance from the elbow joint to the point of application of the flexor muscle force: 0.0510 m. - Distance from the elbow joint to the center of gravity (cg) of the forearm: 0.0890 m. - Total distance from the elbow joint to the ball: 0.330 m.**Solution Requirements:**1. **(a) Magnitude of \( \vec{M} \):** - Find the magnitude of the flexor muscle force needed to hold the ball.2. **(b) Magnitude of the Force at the Elbow:** - Determine the magnitude of the force applied by the upper arm bone to the forearm at the elbow joint.3. **(c) Direction of the Force at the Elbow:** - Calculate the direction of this force as a positive angle counterclockwise from the horizontal.Use the given data and diagram to perform calculations for each part.

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A man holds a 183-N ball in his hand, with the forearm horizontal (see the figure). He can support the ball in this position because of the flexor muscle force M ,which is applied perpendicular to the forearm. The forearm weighs 24.5 N and has a center of gravity as indicated. Find (a) the magnitude of M and the (b) magnitude and (c) direction (as a positive angle counterclockwise from horizontal) of the force applied by the upper arm bone to the forearm at the elbow joint. Upper arm bone -Flexor muscle M Elbow joint 0.0510 m1 C0.0890 m -0.330 m-

A man holds a 183-N ball in his hand, with the forearm horizontal (see the figure). He can support the ball in this position because of the flexor muscle force M ,which is applied perpendicular to the forearm. The forearm weighs 24.5 N and has a center of gravity as indicated. Find (a) the magnitude of M and the (b) magnitude and (c) direction (as a positive angle counterclockwise from horizontal) of the force applied by the upper arm bone to the forearm at the elbow joint. Upper arm bone -Flexor muscle M Elbow joint 0.0510 m1 C0.0890 m -0.330 m-

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