Draw a diagram to represent conical pendulum in a non-inertial frame of reference and state the equation of centrifugal force on the bob
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draw a diagram to represent conical. pendulum in a non-inertial frame of reference and state the equation of centrifugal force on the bob
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The diagram of a conical pendulum in a non-inertial frame of reference is attached below. The equation of centrifugal force on the bob is F = ma - T sinθ
- When either the observer or the object being observed is present in an accelerating object like a lift or a trolley, it is a non-inertial frame.
- To apply the laws of motion, a pseudo force is applied on the object that is in the opposite direction as the acceleration of the frame.
- In the diagram, a pendulum with mass m is hung from the ceiling of a trolley that is moving in the +x-direction with an acceleration of a m/s².
- The pseudo force (ma), the weight (mg), and the tension in the string (T) are the three forces. acting on it.
- The centrifugal force (F) is the net horizontal outward force on the bob of the pendulum.
- By breaking T into its components, we get T sinθ acting horizontally in the +x-direction.
- So F = ma - T sinθ
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