By Thomas Withington
The improvement of the B-1B Lancer bomber used to be tricky to assert the least. initially conceived to satisfy a USAF requirement for a complicated Manned Strategic airplane, the unique B-1A notion plane used to be accused of being a white elephant, able to acting not anything that may now not be accomplished at much less monetary and human fee than an intercontinental ballistic missile. Cancelled through the Carter management and at last commissioned by means of President Reagan because the transformed B-1B, the Lancer begun its tasks as a nuclear-armed bomber within the mid-1980s. the top of the chilly warfare intervened and the jet used to be faraway from its nuclear missions due to fingers keep watch over laws. despite the fact that, the Nineteen Nineties observed the metamorphosis of the Lancer right into a effective traditional guns service which has visible motion in Iraq, the Balkans and Afghanistan. The Lancer has proved its critics mistaken in demonstrating its use as a hugely versatile and hard-working bomber, capable of adopt various missions starting from CAS to the focusing on of weapons-of-mass-destruction installations.
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B) Find the position vector of the moon relative to the UFO. c) Find the angular velocity vectors ωE/U and ωM/U . d) What are the velocity and acceleration vectors of the moon as seen by the UFO frame? 15. Both the disk and the rod are rotating at a constant rate. Find the inertial velocity and acceleration of point P at the rim of the disk. 16. The conveyor belt speed v is constant. Find the inertial velocity and acceleration of Point P . 17. The shaft is rotating at a time varying rate φ. on the rim of the disk, while a missile is flying overhead at a fixed height h with the trajectory rm = hn ˆ 3 − tn ˆ 2.
Rc (t) = 2m¨ r1 = k(r2 − r1 ) m¨ r2 = −k(r2 − r1 ) + k(r3 − r2 ) + f m¨ r3 = −k(r3 − r2 ) + 2f This can be written in a standard ODE matrix form for a vibrating system 0 k −k 0 r1 r¨1 2m 0 0 0 m 0 r¨2 + −k 2k −k r2 = f 2f 0 −k k 0 0 m r3 r¨3 which can be solved given a set of initial conditions for ri (t0 ) and r˙i (t0 ). 2 Kinetic Energy The total kinetic energy T of the cloud of N particles can be written as the sum of the kinetic energies of each particle. 50) 42 NEWTONIAN MECHANICS CHAPTER 2 where the middle term N i=1 mi r˙ i is zero due to the definition of the center of mass in Eq.
The relative position vector σ of the point mass to O and its inertial derivative are given by σ = leˆr σ˙ = lθ˙ eˆθ The angular momentum vector HO can then be written as HO = σ × mσ˙ = −ml2 θ˙ n ˆ3 and its inertial derivative is given by ˙ O = −ml2 θ¨n H ˆ3 The torque LO about point O is written as LO = σ × F g − R n ˆ 2 × (Ff + N ) = −mgl sin (θ + α) n ˆ 3 − RFf n ˆ3 The inertial position vector rO of point O and its second inertial derivative are given by rO = d n ˆ 1 = Rθn ˆ1 ˆ1 r¨O = Rθ¨n Euler’s equation with moments about a general point in Eq.