An object of mass m is propelled vertically upward by a rocket with force F(t). When it is at height (elevation) Y from
Posted: Tue Apr 26, 2022 3:28 pm
An object of mass m is propelled vertically upward by a rocket with force F(t). When it is at height (elevation) Y from the earth's surface, the gravitational pull F, is given by
F = mg = R R+Y where R is the average radius
Taking the velocity v and the gravitational spring force F, as the state vari- ables (Note: This is the systematic and unified approach where we choose the across-variable v of the A-type element-mass, and the through-variable F, of the T-type element-spring, as the state variables) and F(t) as the input vari- able, develop a state-space model for the mass dynamics.
F = mg = R R+Y where R is the average radius
Taking the velocity v and the gravitational spring force F, as the state vari- ables (Note: This is the systematic and unified approach where we choose the across-variable v of the A-type element-mass, and the through-variable F, of the T-type element-spring, as the state variables) and F(t) as the input vari- able, develop a state-space model for the mass dynamics.