The displacement of a mass is given by the function y=sin 3 t he tasks are to: a) Draw a graph of the displacement y(m) against tin t(s) for the time t=0s to t=2.s. b) Identify the position of any turning points and whether they are maxima, minima or points of inflexion. c) Calculate the turning points of the function using differential calculus and show which are maxima, minima or points of inflexion by using the second derivative.
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
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