The attached drawing shows two identical systems of objects, each consists of the same three small balls connected by massless rods. In both systems the axis is perpendicular to the page but it is located at different places as shown. The same magnitude of Force is applied to the same ball as indicated in the attached drawing. The masses of the balls are m1 = 9.5 kg; m2 = 6.2 kg; m3 = 7.3 kg. The magnitude of the force = 444N(a) For each of the two systems determine the moment of Inertia about the given axis of rotation(b) Calculate the torque, magnitude and direction, acting on each system(c) Both systems start from rest and the direction of the force moves with the system and always points along the 4.00 meter rod. What is the angular velocity of each system after 5.03 seconds **Transcription and Explanation for Educational Use****Introduction to Torque and Systems Analysis**In the study of mechanics, understanding how forces interact within systems is crucial. The diagrams below represent two different systems, A and B, which demonstrate the principles of torque and equilibrium.**System A**- **Diagram Description:** The diagram for System A shows a triangular structure with three masses (m1, m2, m3) connected by beams of specified lengths.- **Components:** - **Axis**: Located at mass m1. - **Beam lengths**: - m1 to m2 is 3.0 meters. - m1 to m3 is 5.0 meters. - m2 to m3 is 4.0 meters. - **Force (F)** is applied vertically downward at mass m2.**System B**- **Diagram Description:** Similar to System A, System B is also a triangular structure with three masses.- **Components:** - **Axis**: Located at mass m3. - **Beam lengths**: - m1 to m2 is 3.0 meters. - m1 to m3 is 5.0 meters. - m2 to m3 is 4.0 meters. - **Force (F)** is applied vertically downward at mass m2.**Analysis**- **Torque Calculation**: Torque (\( \tau \)) about an axis is defined as \(\tau = r \times F\), where \( r \) is the distance from the axis to the point of force application, and \( F \) is the force applied.- **Equilibrium Condition**: For a system to be in equilibrium, the sum of the torques about any axis must be zero.**Applications**- These systems can be used to understand the effect of forces on structures and how changing the point of force application or the axis of rotation can impact system stability.These diagrams and explanations highlight critical concepts in statics and provide a foundation for more complex structural analysis. Understanding these principles is essential for fields ranging from civil engineering to biomechanical applications.

The moment of inertial of a rigid body about a fixed axis is defined as the sum of the products of…

(a) For each of the two systems determine the moment of Inertia about the given axis of rotation (b) Calculate the torque, magnitude and direction, acting on each system (c) Both systems start from rest and the direction of the force moves with the system and always points along the 4.00 meter rod. What is the angular velocity of each system after 5.03 seconds

(a) For each of the two systems determine the moment of Inertia about the given axis of rotation (b) Calculate the torque, magnitude and direction, acting on each system (c) Both systems start from rest and the direction of the force moves with the system and always points along the 4.00 meter rod. What is the angular velocity of each system after 5.03 seconds

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