Just after the string 2 is cut,the mass will still have upwards force T1 and mg downwards ,with kx=T1=mg ,which we had obtained from the equilibrium state (just before the string is cut) .
The force is given by the weight of the hanging mass. By itself, that would make it accelerate at g. But because the other mass is connected by a string and accelerated together, the total inertia is larger, hence the acceleration for that force is smaller than g.
As the hanging mass gets bigger, the cart is a smaller fractional effect. That’s what you see. The math of this is left to the student... Show activity on this post.
As the hanging mass gets bigger, the cart is a smaller fractional effect. That’s what you see. The math of this is left to the student... Show activity on this post. This can be modeled in a system of equations. Let the cart have mass M, and the total sum of the masses be m. Hence, Since the two are connected, acceleration is the same.
The weight of the hanging mass provides tension in the string, which helps to accelerate the cart along the track. A small frictional force will resist this motion. We assume that the string is massless (or of negligible mass) and there is no friction between the string and the pulley.
Acceleration = m/s² With this acceleration, the tension in the rope will be. T= Newtons compared to the weight W = Newtons for the hanging mass. If the weight of the hanging mass is less than the frictional resistance force acting on the mass on the table, then the acceleration will be zero.
Adding mass to the hanging block increases the weight, which in turn increases the string tension that pulls that cart, which also causes higher acceleration.
The entire cart/hanging mass system follows the same law, ΣF = ma. This means that plotting force vs. acceleration yields a linear relationship (of the form y = mx).
2:2322:57Pulley Physics Problem - Finding Acceleration and Tension ForceYouTubeStart of suggested clipEnd of suggested clipOne is simply equal to the tension force that's the only force that's acting on that block. AndMoreOne is simply equal to the tension force that's the only force that's acting on that block. And based on newton's second law the net force is equal to m a so this is going to be m1 times a in the x.
The law also states that the direction in which an object accelerates is the same as the direction of the force. In the left-hand photograph, the force on the cart changes, while the mass of the cart stays the same.
If you increase the mass at a given force the rate of acceleration slows. Therefore, mass is inversely proportional to acceleration.
The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased.
The relationship between mass and acceleration is different. It is an inverse relationship. In an inverse relationship, when one variable increases, the other variable decreases. The greater the mass of an object, the less it will accelerate when a given force is applied.
If the mass is doubled, then acceleration will be halved. If both the net force and the mass are doubled, the acceleration will be unchanged.
How did doubling the mass affect the acceleration of the cart? The mass units made the cart accelerate slower.
Since a tension acts upward on the hanging mass, the mass is not in free fall and the acceleration is less than g. * And in 1(c), acceleration is downward, so net force must also be down. That means down forces greater than up forces, so the tension is less than the weight.