By Nigel Walpole

The Supermarine rapid was once rushed into floor with the RAF in the course of 1954 to develop into BritainвЂ™s first second-generation jet fighter. during this function it used to be now not deemed a hit and has been harassed with a foul recognition due to the fact that that point. It used to be finally changed via the recognized Hawker Hunter that were greatly behind schedule as a result of teething issues.

Although now not profitable as an interceptor fighter due to itвЂ™s negative functionality at excessive altitude, it will definitely discovered an essential function as a low-level short-range reconnaissance plane working at the fringe of the Iron Curtain on the top of the chilly battle. RAF squadrons flew the rapid FR.5 for 5 winning years. The booklet covers the improvement and operational historical past of an essential airplane that may be a a part of aviation legend

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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.