School / IB / PHYSICS HL / Rigid body mechanics Question practice
Rigid body mechanics About this practice Torque, moment of inertia, angular momentum and rotational equilibrium.
Physics: Higher Level Rigid body mechanics
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19 A uniform beam of weight 200 N and length 4.0 m is supported horizontally by a pivot at one end and a vertical cable at the other end. Calculate the tension in the cable, taking torques about the pivot. Medium 4 marks Calculator + 20 Marking analysis: A learner attempts the following task: “A uniform beam of weight 200 N and length 4.0 m is supported horizontally by a pivot at one end and a vertical cable at the other end. Calculate the tension in the cable, taking torques about the pivot.” Their response addresses only this point: “States that the weight acts at the centre of the uniform beam, 2.0 m from the pivot.” Evaluate the response against the complete 4-mark task. Identify what earns credit and state every additional requirement needed for full marks. Marking analysis Medium 4 marks Calculator + 21 Two point masses, 2.0 kg and 3.0 kg, are attached to the ends of a light rigid rod, at distances of 0.40 m and 0.60 m respectively from a pivot at the rod's centre of rotation. Calculate the total moment of inertia of this system about the pivot. Medium 4 marks Calculator + 22 Marking analysis: A learner attempts the following task: “Two point masses, 2.0 kg and 3.0 kg, are attached to the ends of a light rigid rod, at distances of 0.40 m and 0.60 m respectively from a pivot at the rod's centre of rotation. Calculate the total moment of inertia of this system about the pivot.” Their response addresses only this point: “States that for a system of point masses, I = Σmr².” Evaluate the response against the complete 4-mark task. Identify what earns credit and state every additional requirement needed for full marks. Marking analysis Medium 4 marks Calculator + 25 A solid sphere of mass 2.0 kg and radius 0.10 m rolls without slipping along a horizontal surface at a linear speed of 3.0 m/s. Given that its moment of inertia about its central axis is I = (2/5)mr², and that for rolling without slipping v = ωr, calculate its total kinetic energy (translational plus rotational). Medium 5 marks Calculator + 26 Marking analysis: A learner attempts the following task: “A solid sphere of mass 2.0 kg and radius 0.10 m rolls without slipping along a horizontal surface at a linear speed of 3.0 m/s. Given that its moment of inertia about its central axis is I = (2/5)mr², and that for rolling without slipping v = ωr, calculate its total kinetic energy (translational plus rotational).” Their response addresses only this point: “Calculates the translational kinetic energy: ½mv² = ½ × 2.0 × 3.0² = 9.0 J.” Evaluate the response against the complete 5-mark task. Identify what earns credit and state every additional requirement needed for full marks. Marking analysis Medium 5 marks Calculator + Self-assessed Not marked yet
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