# Mechanics- connected particles

• MHB
• Shah 72
In summary: When the string is cut, T= 0, a=-g=-10m/s^2Iam not able to calculate.how 😭😭In summary, when particle A hits the ground, it does not bounce and the string is cut.
Shah 72
MHB
Two particles A and B are attached to the ends of a light inextensible string, which passes over a smooth pulley. Particle A has mass 8 kg and particle B has mass 5kg. Both the particles are held 1.2m above the ground. The system is released from rest and the particles move vertically.
a) when particle A hits the ground, it does not bounce. Find the max height reached by particle B
b) when particle A hits the ground, the string is cut. Find the total time from being released from rest until B hits the ground.
I don't understand how to calculate.

Shah 72 said:
Two particles A and B are attached to the ends of a light inextensible string, which passes over a smooth pulley. Particle A has mass 8 kg and particle B has mass 5kg. Both the particles are held 1.2m above the ground. The system is released from rest and the particles move vertically.
a) when particle A hits the ground, it does not bounce. Find the max height reached by particle B
b) when particle A hits the ground, the string is cut. Find the total time from being released from rest until B hits the ground.
I don't understand how to calculate.
I understood how to calculate. Thanks!

Shah 72 said:
Two particles A and B are attached to the ends of a light inextensible string, which passes over a smooth pulley. Particle A has mass 8 kg and particle B has mass 5kg. Both the particles are held 1.2m above the ground. The system is released from rest and the particles move vertically.
a) when particle A hits the ground, it does not bounce. Find the max height reached by particle B
b) when particle A hits the ground, the string is cut. Find the total time from being released from rest until B hits the ground.
Iam not getting the ans for (b)
For the time when A hits the ground
V= u+at
t1= 1.02s
Max height traveled by B is 2.68.
When the string is cut, T= 0, a=-g=-10m/s^2
Iam not able to calculate.

how

Shah 72 said:
Two particles A and B are attached to the ends of a light inextensible string, which passes over a smooth pulley. Particle A has mass 8 kg and particle B has mass 5kg. Both the particles are held 1.2m above the ground. The system is released from rest and the particles move vertically.
a) when particle A hits the ground, it does not bounce. Find the max height reached by particle B
b) when particle A hits the ground, the string is cut. Find the total time from being released from rest until B hits the ground.

maha said:
how

$M$ = 8kg, $m$ = 5kg, $T$ is the tension force in the string

$Mg - T = Ma$
$T - mg = ma$

Solve the system of equations for $a$, the magnitude of the acceleration for both masses. Once you find that acceleration, you can find the upward velocity of the smaller mass when the larger one hits the ground …
$v_f^2 = v_0^2 + 2a \Delta y$
At that time, the smaller mass is strictly under the influence of gravity, and one can determine the height the small mass rises above its initial height of 2.4 m, using a variation of the above equation …
$v_f^2 = v_0^2 - 2g \Delta y$

See what you can do from here.

## 1. What is the definition of connected particles in mechanics?

Connected particles refer to a system of two or more particles that are linked together by a constraint, such as a rigid rod or a string. These particles are considered to be connected because they move together as a single unit, rather than independently.

## 2. How is the motion of connected particles described in mechanics?

The motion of connected particles is described using Newton's laws of motion. These laws state that the net force acting on a system of particles is equal to the product of the mass and acceleration of the system. By analyzing the forces acting on the connected particles, we can determine their motion and acceleration.

## 3. What is the significance of the center of mass in mechanics of connected particles?

The center of mass is an important concept in the mechanics of connected particles because it represents the point at which the entire mass of the system can be considered to be concentrated. This allows us to simplify the analysis of the system's motion and determine the overall behavior of the connected particles.

## 4. How do you calculate the center of mass for a system of connected particles?

The center of mass for a system of connected particles can be calculated by taking the weighted average of the positions of each individual particle. The position of each particle is multiplied by its mass, and then divided by the total mass of the system. This calculation can be extended to systems with more than two particles.

## 5. What are some real-world applications of mechanics of connected particles?

The mechanics of connected particles has numerous real-world applications, such as in engineering and physics. For example, it is used to analyze the motion of pendulums, pulley systems, and other mechanical systems. It is also used in the design of bridges, cranes, and other structures that involve multiple connected parts. Additionally, the principles of connected particles are used in the study of celestial mechanics and the motion of planets and satellites.

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