What is the path of the ball moving down on an inclined plane?

In that case, the ball rolls along a circular path of radius R on the balls surface. However, if the spin axis is tilted, then the ball will roll along a circular path of radius r < R on the ball’s surface, located near the bottom of the ball, while it rolls down a straight line path on the surface of the incline.

Which goes faster down the ramp the disk or hoop?

You should find that a solid object will always roll down the ramp faster than a hollow object of the same shape (sphere or cylinder)—regardless of their exact mass or diameter. The answer is that the solid one will reach the bottom first.

What is the path of the ball?

A familiar example of a trajectory is the path of a projectile, such as a thrown ball or rock. In this simple approximation, the trajectory takes the shape of a parabola.

How does the ball move?

In flight, the ball rotates about the center of gravity. Newton’s laws of motion describe the translation of the center of gravity. As the ball moves through the air, the air resists the motion of the ball and the resistance force is called drag.

Which rolls faster a disk or a ring?

It is shown that the one that reaches the bottom first depends not on the mass or radius, but on the shape. To illustrate this further, a wooden disk, clad with a metal ring, rolls down faster than the hoop but slower than the wooden disk. and we see that the disk rolls faster and thus reaches the bottom first.

Why does a disk roll faster than a hoop?

All of the mass of the hoop is at the outside, while most of the mass of the disk is at a smaller radius than the outside. Therefore the hoop has more rotational energy. Suppose a disk and a hoop of the same mass are rolling down an inclined plane at the same speed, and therefore rotating at the same speed.

How do you get kinetic energy?

To calculate kinetic energy:

1. Find the square of the velocity of the object.
2. Multiply it with the mass of the object.
3. The product is the kinetic energy of the object.

Why does a basketball hoop have a high moment of inertia?

All of the hoop’s mass is at the maximum radius, contributing more to its moment of inertia. Since the angular velocityis proportional to the linear velocity, it has to put more of its energy into rotational kinetic energy.

Which is faster a cylinder or a hoop?

Solving for the velocity shows the cylinder to be the clear winner. The cylinder will reach the bottom of the incline with a speed that is 15\% higher than the top speed of the hoop. The hoop uses up more of its energy budget in rotational kinetic energy because all of its mass is at the outer edge. Show more detail Load movie Index

Why does the cylinder reach the bottom of the incline faster?

The cylinder will reach the bottom of the incline with a speed that is 15\% higher than the top speed of the hoop. The hoop uses up more of its energy budget in rotational kinetic energy because all of its mass is at the outer edge. Show more detail Load movie

How do you find the velocity at the bottom of the hill?

One must take the rotational kinetic energy into account when calculating the object’s velocity at the bottom of the hill The illustration depicts the relative velocities of some common objects. Less common objects, which have been deviously altered, are also available.