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Q. 44

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 180

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Short Answer

A helicopter is flying horizontally. A crate is suspended from the helicopter by a massless cable that is constantly from vertical. What propulsion force F u prop is being provided by the helicopter’s rotor? Air resistance can be ignored. Give your answer in component form in a coordinate system where points in the direction of motion and points upward.

Propulsion force,

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Step by Step Solution

Step 1: Given information 

The mass of the helicopter

The mass of the crate

Step 2: Explanation 

The expression to calculate the vertical component of force is,

The cable makes an angle with the vertical component of the force.

The acceleration of both the systems remains the same so, the horizontal component of the force on the system is given as,

Now calculate vertical force using

Therefore the propulsion force provided by the helicopter's rotor is

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