Mechanics- connected particles

In summary, the car, with a mass of 2000kg, is pulling a caravan, with a mass of 1200kg, along a straight horizontal road. The resistance on the car is 20N and the resistance on the caravan is 80N. The maximum possible driving force from the car's engine is 1900N, but the tow-bar will break if the tension exceeds 680N. To find the maximum possible driving force before the tow-bar breaks, we subtract all the resistances from the maximum driving force, which gives us 212N. This is equivalent to a maximum possible acceleration of 0.5m/s^2. Therefore, the correct way to find the maximum possible acceleration is by dividing
  • #1
Shah 72
MHB
274
0
A car of mass 2000kg pulls a caravan of mass 1200kg along a straight horizontal road. The resistance on the car is 20N and the resistance on the caravan is 80N. The max possible driving force from the car's engine is 1900N. The tow-bar will break if the tension exceeds 680N.
a) Find the max possible driving force before the tow-bar breaks.
b) Find the maximum possible acceleration.
 
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  • #2
So I did -20-680-80=3200a using F=m×a
a= -0.244m/s^2
Again using f=m×a
F-680-20=2000×-0.244
F=212N
Max force= 1900-212=1688= 1700N correct to 2sf
Max possible acceleration will be a=1700/3200=0.5m/s^2
Is this the correct way of doing this??
 

Related to Mechanics- connected particles

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

In mechanics, connected particles refer to a system of two or more particles that are linked together by a constraint, such as a rod or a string. These particles are considered to be connected because they cannot move independently of each other.

2. What are some examples of connected particles in everyday life?

Some examples of connected particles in everyday life include a pendulum, a bicycle chain, and a pulley system. In each of these examples, the particles are connected by a constraint that allows them to move together in a specific way.

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

The motion of connected particles can be analyzed using Newton's laws of motion and the principles of statics and dynamics. The constraints between the particles are taken into account to determine the forces acting on each particle and the resulting motion.

4. What is the difference between connected particles and rigid bodies in mechanics?

Connected particles are a type of system where the particles are connected by constraints and can move relative to each other. Rigid bodies, on the other hand, are a type of system where the particles are fixed in relation to each other and cannot move independently.

5. How does the mass of connected particles affect their motion in mechanics?

The mass of connected particles affects their motion in mechanics by determining the inertia of the system. A system with a larger mass will have a greater inertia and will require more force to change its motion, while a system with a smaller mass will have a lower inertia and will be easier to accelerate.

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