Curtis Problem 3.5 (with extras) Calculate the time required to fly from the given points in terms of the eccentricity e and the period T. B lies ont he minor axis. a. P to B b. B to A c. A to D d. D to P e. P to A f. B to D g. D to B h. P to D A B P F

NOTE: Wherever applicable, you may use = 398600 km³s-² and R = 6378 km. Problem 1 A spacecraft in a prograde Earth orbit passed periapsis exactly 28.5 hours ago with a specific angular momentum of 81574.30 km²s 2. The spacecraft will reach apoapsis in exactly 7.5 hours. a. Compute the eccentricity, e.

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dynamic of machinery question photo

What is the ratio L/R for which the uniform wire figure can be balanced in the position shown?

An elliptical hoop of negligible thickness with a vertical orientated semi-major axis a and a horizontal orientated semi-minor axis b, which has a mass per unit length of p, is mounted on a circular peg to which is attached a Carte- sian xy coordinate system in a vertical orienta- tion as shown in the accompanying sketch (the gravity g ellipse and peg are not rigidly joined to each other and are simply in kinematic contact with each other with negligible friction), such that the physical system lies within a flat ry plane. The ellipse is then allowed to freely oscillate in a to-and-fro rocking motion by a small angle 0, such that the gravitational acceleration g acts in a downwards direction that is parallel to the ellipse semi-major axis. 1.3 a 1.4 b Considering the above system determine the following information clearly showing all steps and appropriate reasoning: Y Utilizing the previously derived equation of motion determine the corresponding natural angular frequency wn for the…

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A solid sphere starts from rest at a height of 2.5 meters. rolls down a ramp without slipping, so no friction. The mass of the sphere is 2 kg. It The radius of the sphere is 0.02 m The moment of Inertia of a sphere is: I = (2/5)mr² ) Compute the change in gravitational potential energy when the ball rolls from the top to the bottom of the ramp. Use conservation of energy to compute the angular velocity, oo, in radians/s and the linear velocity in m/s at the end of the ramp. h1

A, B, C and D are four masses carried by a rotating shaft at radii 100mm, 150mm, 150mm and 200mmrespectively. The planes in which the masses rotate are spaced at 500mm apart and the magnitude ofthe masses B, C and D are 9kg, 5kg and 4kg respectively. Find the required mass A and the relativeangular settings of the four masses so that the shaft shall be in complete balance.

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