You are given two frames ja and jb. the orientation of φ differs from that of ja by a 30° rotation about the x-axis of f. at this time, the angular velocity of with respect to ais ω'ba =[2 0 5' rad / sec. you are also given two vectors a and b, represented in ja and jb respectively as 0 a. find andb' and ω,a. b. when b is stationary in f, determine its velocity "b and problem 2 the propeller and crankshaft of a single-engine airplane have a combined moment of inertia of 45 slug-ft2 about the axis of rotation, and are rotating at 1500 rpm clockwise when viewed from in front. the moment of inertia of the aircraft, including the engine, are froll, pitch, yawl: f3000, 6700, 9000) slug-ft. ifthe airplane rolls at 100 deg/s, while pitching at 20 deg/s, determine the angular acceleration in yaw. assume: all inertias and angular rates are principal-body-axes components; the propeller spin-axis is along x, there are no external moments.

Part f - example: finding two forces (part i) two dimensional dynamics often involves solving for two unknown quantities in two separate equations describing the total force. the block in (figure 1) has a mass m=10kg and is being pulled by a force f on a table with coefficient of static friction îľs=0.3. four forces act on it: the applied force f (directed î¸=30â above the horizontal). the force of gravity fg=mg (directly down, where g=9.8m/s2). the normal force n (directly up). the force of static friction fs (directly left, opposing any potential motion). if we want to find the size of the force necessary to just barely overcome static friction (in which case fs=îľsn), we use the condition that the sum of the forces in both directions must be 0. using some basic trigonometry, we can write this condition out for the forces in both the horizontal and vertical directions, respectively, as: fcosî¸â’îľsn=0 fsinî¸+nâ’mg=0 in order to find the magnitude of force f, we have to solve a system of two equations with both f and the normal force n unknown. use the methods we have learned to find an expression for f in terms of m, g, î¸, and îľs (no n).

The magnetic field inside a superconducting solenoid is 4.50 t. the solenoid has an inner diameter of 6.20 cm and a length of 26.0 cm. determine (a) the magnetic energy density in the field and (b) the energy stored in the magnetic field within the solenoid.

Abucket full of water weights 4 kg and water well is 10m deep. a girl draws water from the well. it takes the girl 3 minutes to draw a bucket full of water from the well. what is the power of the girl?