An asteroid can be modeled as a right circular cylinder of radius 150 m and length 500 m with uniform density of 2200kg/m^3. It is rotating about an axis perpendicular to its length through its center of mass at one rotation per 5 minutes.If a space probe lands at one end and begins to fire its engines in the direction of rotation to slow it down(A) What force is it exerting at the end of the asteroid if it ejects 0.15 kg/s at a speed of 800 m/s?(B) How long will it take to stop the asteroid’s rotation?
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).
An asteroid can be modeled as a right circular cylinder of radius 150 m and length 500 m with uniform density of 2200
kg/m^3. It is rotating about an axis perpendicular to its length through its center of mass at one rotation per 5 minutes.
If a space probe lands at one end and begins to fire its engines in the direction of rotation to slow it down
(A) What force is it exerting at the end of the asteroid if it ejects 0.15 kg/s at a speed of 800 m/s?
(B) How long will it take to stop the asteroid’s rotation?
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