Final answer:
The question deals with determining values for u, v, and r, which are related to the motion of a charged particle in a magnetic field and the rolling motion of a cylinder. The velocity v is the tangential speed of the particle, while u is the perpendicular component of the velocity in relation to the magnetic field, and r is the radius of curvature of the particle's path.
Step-by-step explanation:
To determine the values of u, v, and r for the given deformation in a physics context, it appears we're dealing with a scenario that involves both rotational and linear motion, most likely in the presence of a magnetic field. Specifically, when a charged particle is moving in the presence of a magnetic field, it will experience a deflection if its velocity component is perpendicular to the field lines. This deflection causes the particle to follow a curved path with a radius r.
The speed v is the tangential speed of the particle moving in a circle, which, when known, allows us to determine u, which is the component of velocity perpendicular to the magnetic field. From the information provided, it also involves a rolling cylinder, where the relationship w = v/R is indicative of rotational motion without slipping. By substituting this relationship into the necessary expressions, we can relate the angular velocity w with the linear speed v and the radius R. The radius of curvature r for a charged particle in a magnetic field can be found using the expression r = mv/(qB), where m is mass, q is charge, and B is magnetic field strength.
Note: The actual values for v, u, and r cannot be determined without the specific data or relationships provided in the figures or equations referenced in the question.