Mechanics- connected particles

In summary, the conversation involves solving a physics problem involving a system with two masses connected by a string over a pulley. Both masses have the same acceleration and tension in the string. The solution involves using kinematics equations for uniformly accelerated motion and solving for the acceleration of the system. There is also a discussion about the time it takes for the system to reach certain points, including when the string breaks and P reaches a certain height. The final answer is 0.9 seconds.
  • #1
Shah 72
MHB
274
0
20210530_213825.jpg

I got the speed of p when q reaches the pulleys = 1m/s, a= 2m/s^2
Iam getting time = 0.8s for q(b)
 
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  • #2
You really need to figure out how to post a readable image ...

atwood.jpg


Both masses will have the same magnitude of acceleration. The tension in the string on both sides of the pulley will be the same.

$Mg - T = Ma$

$T - mg = ma$

solve for the system for acceleration, then use your kinematics equations for uniformly accelerated motion to answer the questions.
 
Last edited by a moderator:
  • #3
skeeter said:
You really need to figure out how to post a readable image ...

View attachment 11169

Both masses will have the same magnitude of acceleration. The tension in the string on both sides of the pulley will be the same.

$Mg - T = Ma$

$T - mg = ma$

solve for the system for acceleration, then use your kinematics equations for uniformly accelerated motion to answer the questions.
I got the ans for this.
 
  • #4
skeeter said:
You really need to figure out how to post a readable image ...

View attachment 11169

Both masses will have the same magnitude of acceleration. The tension in the string on both sides of the pulley will be the same.

$Mg - T = Ma$

$T - mg = ma$

solve for the system for acceleration, then use your kinematics equations for uniformly accelerated motion to answer the questions.
Iam still having doubts with q(b)
For q(a)
I got a= 2m/s^2 and speed of p when q reaches the pulley = 1m/s
Q(b)Time when the system is released v= u+at1
t1=0.5s
After the string breaks, there is constant speed
I don't understand
 
  • #5
skeeter said:
You really need to figure out how to post a readable image ...

View attachment 11169

Both masses will have the same magnitude of acceleration. The tension in the string on both sides of the pulley will be the same.

$Mg - T = Ma$

$T - mg = ma$

solve for the system for acceleration, then use your kinematics equations for uniformly accelerated motion to answer the questions.
20210602_182216.jpg
 
  • #6
when the string breaks, P is 1.2m above the ground moving downward with initial speed of 1 m/s and is in a state of free fall.

$\Delta y = v_{y_0} \cdot t_2 - \dfrac{1}{2}g t_2^2$
 
  • #7
skeeter said:
when the string breaks, P is 1.2m above the ground moving downward with initial speed of 1 m/s and is in a state of free fall.

$\Delta y = v_{y_0} \cdot t_2 - \dfrac{1}{2}g t_2^2$
The ans is 0.1s but the textbook says 0.9s
 
  • #8
skeeter said:
when the string breaks, P is 1.2m above the ground moving downward with initial speed of 1 m/s and is in a state of free fall.

$\Delta y = v_{y_0} \cdot t_2 - \dfrac{1}{2}g t_2^2$
Oh I got it. It will be a quadratic equation and I solve using quadratic formula
 
  • #9
skeeter said:
when the string breaks, P is 1.2m above the ground moving downward with initial speed of 1 m/s and is in a state of free fall.

$\Delta y = v_{y_0} \cdot t_2 - \dfrac{1}{2}g t_2^2$
Thank you so much. t2= 0.4s so total time will be 0.9 s
 

FAQ: Mechanics- connected particles

What is the definition of connected particles in mechanics?

Connected particles in mechanics refer to two or more particles that are linked together by a physical connection, such as a string, rod, or spring. These particles may have different masses and can move in different directions, but their motion is affected by the connection between them.

How is the motion of connected particles described in mechanics?

The motion of connected particles is described using Newton's laws of motion and the principles of conservation of energy and momentum. These laws and principles help to determine the forces acting on the particles and how they will move in response to these forces.

What is the difference between a rigid and non-rigid connection in mechanics?

A rigid connection in mechanics refers to a connection between particles that does not allow for any deformation or change in length. On the other hand, a non-rigid connection allows for some flexibility or change in length between the particles. This can affect the forces and motion of the connected particles.

How do you calculate the acceleration of connected particles in mechanics?

The acceleration of connected particles can be calculated using Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. By considering the forces acting on each connected particle, the net force and resulting acceleration can be determined.

How do you analyze the motion of connected particles in mechanics?

To analyze the motion of connected particles, one must first identify all the forces acting on the particles and determine the net force. Then, using the principles of conservation of energy and momentum, the equations of motion can be solved to determine the position, velocity, and acceleration of the particles at any given time. Graphs and diagrams can also be used to visualize the motion of connected particles.

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