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(II) To get a fiat, uniform cylindrical satellite spinning
Chapter 2, Problem 33P(choose chapter or problem)
(II) To get a flat, uniform cylindrical satellite spinning at the correct rate, engineers fire four tangential rockets as shown in Fig. . If the satellite has a mass of
and a radius of
, what is the required steady force of each rocket if the satellite is to reach
in
?
Questions & Answers
QUESTION:
(II) To get a flat, uniform cylindrical satellite spinning at the correct rate, engineers fire four tangential rockets as shown in Fig. . If the satellite has a mass of
and a radius of
, what is the required steady force of each rocket if the satellite is to reach
in
?
ANSWER:
Step by step Solution
Step 1 of 4
APPROACH
The firing force of the rocket will create a net torque but no net force. Since each rocker fires tangentially, each force has a lever arm equal to the radius of the satellite and each force is perpendicular to the lever arm. So the net torque is the product of force and the level arm. We can determine the steady force of each rocket by knowing the net torque. Therefore, we need to calculate the angular acceleration and then the torque by using the equation of rotational kinematics. After that we would be equating them both to find the force.