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Grade 11Mechanics

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?

Radhika Batra

11 Years agoGrade 11

1 Answer

Kevin Nash

11 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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