By the end of this section you should be able to:
Define the angular momentum of a particle of mass m and write its SI unit. • State the law of conservation of angular momentum. • Solve problems using the law of conservation of angular momentum. • State the first and second conditions of equilibrium. • Solve problems related to conditions of equilibrium. • Define the term centre of mass (centre of gravity) of a solid body. • Determine the centre of gravity using a plumb-line method. • Define the terms stable, unstable and neutral equilibrium • State Newton's law of universal gravitation. • Determine the magnitude of the force of attraction between two masses separated by a distance r. Calculate the value of g at any distance above the surface of the Earth. • State Kepler's law of planetary motion Use Kepler's law of planetary motion to determine the period of any planet Differentiate between orbital and escape velocity of a satellite. • Determine the period of a satellite around a planet. • Calculate the orbital and escape velocity of a satellite. • Describe the period, position and function of a geostationary satellite
• Define the term projectile (and provide several examples). Explain the difference between 1D and 2D motion. Correctly use the terms angle of elevation and angle of depression, and explain the importance of the angle when it comes to launching projectiles. Explain the effect gravity has on the motion of an object. Describe what happens to the horizontal and vertical velocities of a projectile and the important characteristics of its flight. Demonstrate how to use the equations for uniform acceleration and to apply these to projectile motion. Define the term centre of mass. Conduct simple experiments to determine the centre of mass of 2D objects. List the characteristics of uniform circular motion Describe the relationships between radius, mass, forces and velocity for an object following a circular path. Define the terms angular and tangential displacement, and angular and tangential velocity. Express angles in terms of revolutions, radians and degrees. Define the term angular acceleration, and list its key characteristics. Identify the SI unit of angular velocity and angular acceleration Explain the relationships between angular displacement, tangential displacement, angular velocity, tangential velocity and angular acceleration. • Demonstrate how to use the equations of constant angular acceleration and compare them with equations of constant acceleration. + Define the moment of inertia of a point mass. Define rotational kinetic energy of a body. Solve simple problems relating to moment of inertia and rotational Kinetic energy Define the term torque. Identify the SI unit of torque, Nm, which is not the same as the joule. Express torque in terms of moment of inertia and angular acceleration. Derive an expression for the work done by the torque. Use the formula W-T to solve problems related to work done by torque