Question

A satellite loading in space is subjected to three angular velocities

Answer 1

a rigid body rotating with uniform angular speed about a fixed axis possess kinetic energy

Answer 2

A satellite floating in space is subjected to three angular velocities, ?A, ?Z and ?y. At the instant shown ?A is directed along the antenna ending at Aand has a magnitude of 5.70 rad/s , ?Z has a magnitude of 6.70 rad/s and is always directed along the Z axis, ?y has a magnitude of 8.70 rad/s and is always directed along the yaxis. Three angular accelerations act on the satellite, ??A=0.280 rad/s2,??Z=0.150 rad/s2, and ??y=0.210 rad/s2,which each act in the same direction as their respective angular velocities. Point A is located at (?2.40, 1.70, 0.580). The dimensions a, b, and chave lengths of 1.50 m, 2.50 m, and 0.830 m,respectively. The coordinate axes XYZ are fixed and share the origin O with the rotating axes xyz, which are coincident at the instant shown.

Part A - Velocity of B

Find the velocity of B with respect to O in component form.

Express your answers, separated by commas, to three significant figures in m/s.

Part B - Acceleration of B

Calculate the acceleration of B at the instant shown. Express your answer in component form.

Express your answers, separated by commas, to three significant figures in m/s2.

Part C - Acceleration of A

Calculate the acceleration of A at the instant shown. Give your answer in component form.

Express your answers, separated by commas, to three significant figures in m/s2.