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A yo-yo is resting on a horizontal table and is free to roll (see Fig). If the string is pulled by a horizontal force such as F 1 , which way will the yo-yo roll? What happens when the force F 2 is applied (its line of action passes through the point of contact of the yo-yo and table)? If the string is pulled vertically with the force F 3 , what happens?

A yo-yo is resting on a horizontal table and is free to roll (see Fig). If the string is pulled by a horizontal force such as F1, which way will the yo-yo roll? What happens when the force F2 is applied (its line of action passes through the point of contact of the yo-yo and table)? If the string is pulled vertically with the force F3, what happens?

Grade:11

1 Answers

Kevin Nash
askIITians Faculty 332 Points
6 years ago
To roll the yo-yo on the horizontal table, one should have a horizontal force which acts on it.
When the force F1 is applied, the wheel will roll on the horizontal surface in counter-clockwise direction. The force will provide torque to the wheel, which in turn is responsible for providing angular acceleration and the rotational motion on the table.
When the force F2 is applied, the component of force in the direction of force F1 will roll the wheel in the counterclockwise direction, however the component of force in the direction of force F3 will not add to rotational motion of the wheel.
Therefore the wheel will eventually rotate in counterclockwise direction on the horizontal table. It is important to note that the component of force F2 in direction of F3 will add to the vertical acceleration, but not angular.
When the force F3 is applied the wheel will not rotate along the length of the table, but rotate about its axis of rotation, and may even be lifted.

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