
Concept explainers
To Find: The required study force of each rocket in which the satellite is

Answer to Problem 33P
Explanation of Solution
Given information:
The satellite has a mass of
Formula used:
Here,
Calculation:
The firing force of the rocket will create a net torque but no net force. Since each rocket 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 product of force and lever arm. To determine the steady force of each rocket by knowing the net torque. To calculate the angular acceleration and then the torque by using the equation rotational Kinematics. On equating the both to find the force.
The mass of satellite
When each rocket firing force perpendicular to the lever arm equal to the radius of the satellite, as there are four rockets the net torque is
The Torque
From above two equations
But, moment of inertia of solid cylinder is
Therefore steady force,
Conclusion:
The value of force is
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Physics: Principles with Applications
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