Mechanics- connected particles

In summary, the maximum mass of passengers for the lift to travel at its maximum acceleration is 616 kg when traveling upwards and 797 kg when traveling downwards. Based on the average mass of a person being 75 kg, the maximum number of passengers allowed should be 8.
  • #1
Shah 72
MHB
274
0
A passenger lift had mass 500 kg. The breaking tension of the cable is 12000N. The max acceleration of the lift is 0.75 m/s^2
a) if the lift travels at its max acceleration, calculate the max mass of the passengers:
1)when the lift is accelerating upwards
2) when the lift is accelerating downwards
b) taking the average mass of a person to be 75 kg, what is the max number of passengers that should be allowed to travel in the lift?
 
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  • #2
Shah 72 said:
A passenger lift had mass 500 kg. The breaking tension of the cable is 12000N. The max acceleration of the lift is 0.75 m/s^2
a) if the lift travels at its max acceleration, calculate the max mass of the passengers:
1)when the lift is accelerating upwards
2) when the lift is accelerating downwards
b) taking the average mass of a person to be 75 kg, what is the max number of passengers that should be allowed to travel in the lift?

What have you accomplished with this one?
 
  • #3
skeeter said:
What have you accomplished with this one?
So it should be T- mass of lift× g- mass of passengers ×g= ( M+m) ×a
Iam not getting the right ans that is mentioned in the textbook
 
  • #4
skeeter said:
What have you accomplished with this
Thank you so much! I got the answers
 
  • #5
Are you going to share your solution so others may benefit?

That’s a big part of being a member of MHB. Get some help … give some help.
 
  • #6
skeeter said:
Are you going to share your solution so others may benefit?

That’s a big part of being a member of MHB. Get some help … give some help.
Ofcourse.
So I did T- Mg-mg=(M+m)×a
I got M=616kg
b) T- Mg-mg= -(M+m)×a
m=797 kg
2) I did 616/75= 8 people
 

FAQ: Mechanics- connected particles

What is the definition of "connected particles" in mechanics?

In mechanics, connected particles refer to two or more particles that are linked together by a physical connection, such as a rope, spring, or rigid rod. This connection allows the particles to move together in a coordinated manner.

How do you calculate the motion of connected particles?

The motion of connected particles can be calculated using Newton's laws of motion and the principles of conservation of energy and momentum. The forces acting on each particle must be analyzed and the equations of motion can be solved to determine their positions, velocities, and accelerations.

What are the different types of connections between particles in mechanics?

The most common types of connections between particles in mechanics include ropes, springs, and rigid rods. These connections can be either flexible or rigid, and can allow for different types of motion, such as linear, circular, or rotational.

How does the mass of connected particles affect their motion?

The mass of connected particles can affect their motion in several ways. In general, the greater the mass of the particles, the more inertia they will have and the harder it will be to change their motion. Additionally, the distribution of mass within the connected particles can also affect their rotational motion.

Can the motion of connected particles be affected by external forces?

Yes, the motion of connected particles can be affected by external forces, such as friction, air resistance, or gravitational forces. These forces can alter the motion of the particles and must be taken into account when analyzing their motion using the principles of mechanics.

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