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# As shown in figure, a yo-yo is at rest on a frictionless surface. When a force $F$ applied in string as shown in fig., the yo-yo:A) moves to the left and rotates anti-clockwise.B) moves to the right and rotates anti-clockwise.C) moves to the left and rotates clockwise.D) moves to the right and rotates clockwise.

Last updated date: 20th Jun 2024
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Hint: An object is moved in the direction of net force applied on the object. Similarly it rotates in the direction of net torque applied on the object. Here the surface is frictionless hence only force $F$ is responsible for movement of yo-yo.

To find rotation we need to find torque applied on yo-yo by the force $F$. Torque on yo-yo is given by
$\vec \tau = \vec r \times \vec F$
where $F$ is force applied and $r$ is perpendicular distance between the centre of rotation and the applied force.
As shown in figure, there is only force $F$ which is applied on yo-yo and the torque due to force $F$ rotate the yo-yo in an anti-clockwise direction.