A hollow sphere is attached to the end of a uniform rod. The sphere has a radius of 0.88 m and a mass of 0.58 kg. The rod has a length of 1.26 m and a mass of 0.56 kg. The rod is placed on a fulcrum (pivot) at X = 0.38 m from the left end of the rod. (a) Calculate the moment of inertia (click for graphical table) of the contraption around the fulcrum. |kg m² (b) Calculate the torque about the fulcrum, using CCW as positive. N m (c) Calculate the angular acceleration of the contraption, using CCW as positive. rad/s2 (d) Calculate the linear acceleration of the right end of the rod, using up as positive. m/s2

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Chapter1: Units, Trigonometry. And Vectors
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A hollow sphere is attached to the end of a uniform rod. The sphere has a radius of 0.88 m and a mass of 0.58 kg. The rod has a length of 1.26 m and a mass of 0.56 kg. The rod is placed on a fulcrum (pivot) at X = 0.38 m from the left end of the rod.

(a) Calculate the moment of inertia (click for graphical table) of the contraption around the fulcrum.  
[Input Box] kg m²

(b) Calculate the torque about the fulcrum, using CCW as positive.  
[Input Box] N m

(c) Calculate the angular acceleration of the contraption, using CCW as positive.  
[Input Box] rad/s²

(d) Calculate the linear acceleration of the right end of the rod, using up as positive.  
[Input Box] m/s²

**Diagram Explanation:**
The diagram illustrates a hollow sphere connected to a uniform rod. The sphere's radius is marked as \( R \). The distance between the fulcrum and the end of the rod (excluding the sphere) is denoted as \( L \), and the distance from the fulcrum to the left end of the rod is \( X \). The fulcrum is represented as a triangular pivot point on which the rod rests.
Transcribed Image Text:A hollow sphere is attached to the end of a uniform rod. The sphere has a radius of 0.88 m and a mass of 0.58 kg. The rod has a length of 1.26 m and a mass of 0.56 kg. The rod is placed on a fulcrum (pivot) at X = 0.38 m from the left end of the rod. (a) Calculate the moment of inertia (click for graphical table) of the contraption around the fulcrum. [Input Box] kg m² (b) Calculate the torque about the fulcrum, using CCW as positive. [Input Box] N m (c) Calculate the angular acceleration of the contraption, using CCW as positive. [Input Box] rad/s² (d) Calculate the linear acceleration of the right end of the rod, using up as positive. [Input Box] m/s² **Diagram Explanation:** The diagram illustrates a hollow sphere connected to a uniform rod. The sphere's radius is marked as \( R \). The distance between the fulcrum and the end of the rod (excluding the sphere) is denoted as \( L \), and the distance from the fulcrum to the left end of the rod is \( X \). The fulcrum is represented as a triangular pivot point on which the rod rests.
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