Question

In a similar rolling race (no slipping), the two objects are 2 solid cylinders of the same mass but different radii. which reaches the bottom first?

Answer 1

The solid cylinder reaches the bottom first.

A solid object will always roll down the ramp faster than a hollow object of the same shape regardless of their exact mass or diameter.

The solid cylinder has a lower moment of inertia than the hollow one does. Although they have the same mass, all the hollow cylinder's mass is concentrated around its outer edge so its moment of inertia is higher.

The velocity would be greater for the material with radius of gyration k is lower of for which the moment of inertia is lower. Solid cylinder with k as 1/2 will have greater velocity as compared to hollow cylinder which has k as 1. As they have same mass and radius their energies at both the levels would remains same including the potential energy and energy lost due to friction.

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Answer 2

The solid cylinder reaches the bottom first.

A (solid) cylinder is a solid that has two parallel planes and a cylindrical surface surrounding it. An element of the cylinder is a line segment that is determined by an element of the cylindrical surface between two parallel planes. A cylinder's components are all the same length. The material's velocity would be higher if the moment of inertia was lower and the radius of gyration k was smaller. In comparison to a hollow cylinder with k as 1, a solid cylinder with k as 1/2 will move at a faster speed. Their energies at both levels, including potential energy and energy lost through friction, would stay the same because they had the same mass and radius.

Learn more about solid cylinders here brainly.com/question/18801887

#4269

A solid cylinder and a hollow cylinder of the same mass and radius, both initially at rest, roll down the same inclined plane without slipping. Choose the correct options.