H3 Rotational Motion structured practice

Learning objectives

• show an understanding of and use the terms angular displacement, angular velocity, and angular acceleration of a rigid body with respect to a fixed axis
• solve problems using the equations of motion for uniform angular acceleration that are analogous to the equations of motion for uniform linear acceleration
• show an understanding of and use the terms angular momentum and moment of inertia of a rotating rigid body
• calculate the moment of inertia about an axis for simple bodies by using calculus, the parallel-axis theorem or otherwise (knowledge of the perpendicular-axis theorem and mathematical derivation of the moment of inertia for spheres are not required)
• show an understanding of torque produced by a force relative to a reference point, and apply the principle that torque is related to the rate of change of angular momentum to solve problems, such as those involving point masses, rigid bodies, or bodies with a variable moment of inertia e.g. an ice-skater
• Apply Eₖ,rot = ½Iω² to the rotational kinetic energy of a rigid body.
• Derive Eₖ,rot = ½Iω² for a rigid body from the equations of motion.
• recall and apply the result that the motion of a rigid body can be regarded as translational motion of its centre of mass with rotational motion about an axis through the centre of mass to solve problems, including the use of F ⩽ µN for solid surfaces in no-slip contact (no distinction is made between the coefficient of static and kinetic friction)