A person holds a 1.56 baseball in his hand, a distance of 34.0 cm from the elbow joint, as shown in the figure(Figure 1) . The biceps, attached at a distance of 2.75 cm from the elbow, exerts an upward force on the forearm. Consider the forearm and hand to be a uniform rod with a mass of 1.25 . Suppose the biceps exert just enough upward force to keep the system in static equilibrium.Determine the force exerted by the biceps.

To determine the force exerted by the biceps, we can use the principle of torque. Torque is defined as the product of force and distance, and it causes rotation. In this case, we need to consider the torque about the elbow joint.

First, let's denote the force exerted by the biceps as F_biceps. We can consider this force as an upward force applied at a distance of 2.75 cm from the elbow joint.

Next, we need to consider the torque caused by the weight of the baseball and the forearm-hand system. The weight acts downward, so it creates a clockwise torque. The torque due to the weight can be calculated as follows:

T_weight = (mass of forearm-hand system) * (gravitational acceleration) * (distance from center of mass to the elbow joint)

The distance from the center of mass of the forearm-hand system to the elbow joint can be calculated as follows:

Distance = (distance from hand to elbow joint) * (mass of the hand) / (mass of the forearm-hand system)

Now, the torque due to the biceps force can be calculated as follows:

T_biceps = F_biceps * (distance from biceps to the elbow joint)

To keep the system in static equilibrium, the sum of the torques must be zero. In other words, T_weight + T_biceps = 0.

Now, we can set up an equation to solve for F_biceps:

(F_biceps * (distance from biceps to the elbow joint)) + ((mass of forearm-hand system) * (gravitational acceleration) * (distance from center of mass to the elbow joint)) = 0

Solving this equation will give us the force exerted by the biceps.

Note: Make sure to convert all distances to the same unit (e.g., cm or meters) and the mass to the appropriate unit (e.g., kg). Also, use the correct value of the gravitational acceleration (9.8 m/s^2 or 980 cm/s^2).