A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed are ejected with constant velocity v. (relative to the rocket). A model for the velocity of the rocket at time t is given by the equation v(t) = -gt – v, In m-) where g is the acceleration due to gravity and t is not too large. If g = 9.8 m/s2, m = 29,000 kg, r = 150 kg/s, and ve = 3,100 m/s, find the height of the rocket one minute af
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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