solid sphere,thin walled hollow sphere,solid cylinder from above the ground in the same mass and radius which object reach first the ground?

To determine which object, a solid sphere, a thin-walled hollow sphere, or a solid cylinder, will reach the ground first when dropped from above, we need to analyze their motion considering their mass and radius.

The time it takes for an object to fall to the ground depends on various factors, including its shape, mass distribution, and air resistance, which we will ignore in this case.

Let's compare the objects one by one:

1. Solid Sphere:
A solid sphere has a uniform mass distribution, meaning the mass is evenly spread throughout the object. When dropped, all parts of the sphere will experience the same gravitational force and hence accelerate equally. Therefore, the solid sphere will reach the ground at the same time regardless of its mass or radius.

2. Thin-Walled Hollow Sphere:
In the case of a thin-walled hollow sphere, the mass is concentrated along the outer surface, resulting in a larger moment of inertia compared to a solid sphere of the same mass and radius. Due to this larger moment of inertia, the object will have a slower angular acceleration. However, the linear acceleration downward will still be the same as that of the solid sphere, since the gravitational force acting on each object is equal. Therefore, the thin-walled hollow sphere will also reach the ground at the same time as the solid sphere.

3. Solid Cylinder:
A solid cylinder, similar to a solid sphere, has a uniform mass distribution. Each part of the cylinder, regardless of its height, experiences the same gravitational force and accelerates uniformly. As a result, the solid cylinder will also reach the ground at the same time as the solid sphere and the thin-walled hollow sphere.

In conclusion, all three objects, the solid sphere, the thin-walled hollow sphere, and the solid cylinder, will reach the ground at the same time when dropped from the same height, disregarding air resistance.

Assuming there is no air resistance and the objects are released from rest, all three objects will reach the ground simultaneously.

This is because, neglecting air resistance, the time taken for an object to fall to the ground only depends on the height it is dropped from. It is independent of its mass or its shape.

Therefore, the solid sphere, thin-walled hollow sphere, and solid cylinder, all having the same mass and radius, will reach the ground at the same time.