A 300 kg space probe in deep space has an initial velocity v =(12,–9,20) km/s. It fires its thrusts which exert a force of F =(247,0,–96)kN on the probe. (a) What is the angle between the force and momentum vectors? (b) Find the component of the force parallel to the probe's momentum vector. (c) Find the component of the force perpendicular to the probe's momentum vector. (d) Calculate the radius of curvature of the probe's path at this point.
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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