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I saw this video on YouTube in which two balls slide down on different inclines.

The part which confused me was the one at 2:00 seconds. I couldn't understand the physical reason for that.

If we drop two balls from different heights they do take different time to come down  . But here they are coming simultaneously.

One reason which I thought could be that the velocity gained by the balls is proportional to length of the incline but I am not sure and couldn't digest it .

A physical reason would be more appreciated than a mathematical one.

Edit : It is written in the comment section and in the answers that it is designed that way so that the balls reach the bottom at the same time  .

But I still couldn't understand how does that structure of the tautochrone curve actually affects the timing  ? What's the physics behind that  ?

I saw this video on YouTube in which two balls slide down on different inclines.

The part which confused me was the one at 2:00 seconds. I couldn't understand the physical reason for that.

If we drop two balls from different heights they do take different times to come down. But here they are coming simultaneously.

One reason which I thought could be that the velocity gained by the balls is proportional to length of the incline but I am not sure and couldn't digest it .

A physical reason would be more appreciated than a mathematical one.

Edit : It is written in the comment section and in the answers that it is designed that way so that the balls reach the bottom at the same time.

But I still couldn't understand how does that structure of the tautochrone curve actually affect the timing? What's the physics behind that?

I saw this video on YouTube in which two balls slide down on different inclines.

The part which confused me was the one at 2:00 seconds. I couldn't understand the physical reason for that.

If we drop two balls from different heights they do take different time to come down . But here they are coming simultaneously.

One reason which I thought could be that the velocity gained by the balls is proportional to length of the incline but I am not sure and couldn't digest it .

A physical reason would be more appreciated than a mathematical one.

Edit : It is written in the comment section and in the answers that it is designed that way so that the balls reach the bottom at the same time .

But I still couldn't understand how does that structure of the tautochrone curve actually affects the timing. What's the physics behind that ?

I saw this video on YouTube in which two balls slide down on different inclines.

The part which confused me was the one at 2:00 seconds. I couldn't understand the physical reason for that.

If we drop two balls from different heights they do take different time to come down . But here they are coming simultaneously.

One reason which I thought could be that the velocity gained by the balls is proportional to length of the incline but I am not sure and couldn't digest it .

A physical reason would be more appreciated than a mathematical one.

Edit : It is written in the comment section and in the answers that it is designed that way so that the balls reach the bottom at the same time .

But I still couldn't understand how does that structure of the tautochrone curve actually affects the timing ? What's the physics behind that ?

I saw this video on YouTube in which two balls slide down on different inclines.

The part which confused me was the one at 2:00 seconds. I couldn't understand the physical reason for that.

If we drop two balls from different heights they do take different time to come down . But here they are coming simultaneously.

One reason which I thought could be that the velocity gained by the balls is proportional to length of the incline but I am not sure and couldn't digest it .

A physical reason would be more appreciated than a mathematical one.

Edit : It is written in the comment section that it is designed that way so that the balls reach the bottom at the same time .

But I still couldn't understand how does that structure of the tautochrone incline actually affects the timing. What's the physics behind that ?

I saw this video on YouTube in which two balls slide down on different inclines.

The part which confused me was the one at 2:00 seconds. I couldn't understand the physical reason for that.

If we drop two balls from different heights they do take different time to come down . But here they are coming simultaneously.

One reason which I thought could be that the velocity gained by the balls is proportional to length of the incline but I am not sure and couldn't digest it .

A physical reason would be more appreciated than a mathematical one.

Edit : It is written in the comment section and in the answers that it is designed that way so that the balls reach the bottom at the same time .

But I still couldn't understand how does that structure of the tautochrone curve actually affects the timing. What's the physics behind that ?