Newton Laws

Reminder of Newton’s laws of mechanics

More on the second law.

It works similarily with velocity and acceleration, with the force of x, y, z, can be broken down into m times accelration of x, y, or z.

Example here, with solving this didn’t require x, y,z, or time really, just a simple multiplying to get the total amount of net force.

$Fnet=ma$ // with net force, it is mass times acceleration.

Objects connected by strings have the same accelertion, which implies certain values for tension in strings, and for massless ropes, the magnitude of the tension ofrce is uniform throughout the rope, but for massive ropes, the magnitude of the tnesion force isn’t always uniform.

With a string on two objects, and the first one is larger, which is correct about the tension.

They are going to be equal since it’s going to be a massless rope.

While they are the same, when it comes to the weight between the obects, the first one has more, while the second one, to be balanced, has more balanced towards tension, having a balance.

a$a_1=-a_2$ // the accerleration is going to be equal, however, they are going to be

$\pm$ with each other, with one negative and one positive.

Circular Motion

Explaining how

$a_{c}=\frac{v^3}{r}$ (with this, it is heading towards the center, as well as using the perpendicular of the tangetiable velocity.

Also, with spinning something, there is a force that keeps something in a circle; it will be centripetal force, whether it will be gravity(like a satellite to the Earth) or tension(string on an object)

With the force projection, going inwards, towards the center, there is a set of negative forces, that are pointing away from the center.

Explaing how fnet force is mass times the centtriputal accleratioin.

With a string on a object moving in a circle, there is 2 forces.

First one is gravity, and the second is tension.

Woith centriputal force, the net force from the other two equals it.

With water in a bucket, compared ot the bucket itself, the bucket doesn’t have normal force, but the water inside the bucket does, since it’s holding the water in place.

T=ma_c + mg. // tension for the lowest point

T=ma_c - mg// tension for the highest point.

-ma_c = -T -mg// for highest point on the negative direction