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  • Forces on a Hanging Yo-Yo: Gravity and Tension Explained
    Here's a breakdown of the forces acting on the string when a yo-yo hangs motionless:

    Forces Involved

    * Gravity (Weight): This is the force pulling the yo-yo downwards. Its magnitude is equal to the yo-yo's mass (m) multiplied by the acceleration due to gravity (g), represented as "mg."

    * Tension (T): This is the upward force exerted by the string on the yo-yo. It counteracts gravity and keeps the yo-yo from falling.

    Equilibrium

    Since the yo-yo is motionless, we know the forces are balanced. This means:

    * Tension (T) = Gravity (mg)

    Important Note: While the forces on the string are equal in magnitude, they are acting in opposite directions. The string is being pulled down by the yo-yo's weight and pulled upwards by the tension.

    Visualizing it:

    Imagine the yo-yo as a single point.

    * An arrow pointing downwards represents the force of gravity (mg).

    * An arrow pointing upwards represents the tension (T) in the string.

    These two arrows would be equal in length, indicating that the forces are balanced.

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