Strings and Pulleys - Find the energy

In summary, three objects with masses 7.0 kg, 10.0 kg, and 14.0 kg are attached by strings over frictionless pulleys and released from rest on a frictionless surface. Using energy concepts, the speed of the 14.0 kg object after moving 2.0 m is found. The problem also considers the relationship between the speeds of the objects and the initial mechanical energy of the system. The concept of conservation of energy is suggested as a possible approach.
  • #1
parwana
182
0
p5-32.gif


Three objects with masses m1 = 7.0 kg, m2 = 10.0 kg, and m3 = 14.0 kg, respectively, are attached by strings over frictionless pulleys, as indicated in Figure P5.32. The horizontal surface is frictionless and the system is released from rest. Using energy concepts, find the speed of m3 after it moves down a distance of 2.0 m.
 
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  • #2
Interesting problem!
Does it interest you sufficiently to do some work on your own?
 
  • #3
I don't understand how to set it up.
 
  • #4
Let for example the floor be the level of zero potential energy.
What is then the mechanical energy of the system initially, and how does that quantity develop over the time?

Since the strings are taut and inextensible, how must the speeds be related to each other?
 
  • #5
hmm...consider COE
 

FAQ: Strings and Pulleys - Find the energy

What is the concept of strings and pulleys?

The concept of strings and pulleys involves the use of ropes or cords (strings) and wheels with grooved rims (pulleys) to transmit force and energy. The string is wrapped around the pulley and when one end of the string is pulled, the other end moves with it, allowing for the transfer of energy.

How do strings and pulleys help to find energy?

Strings and pulleys help to find energy by converting one form of energy (such as mechanical energy from pulling the string) into another form (such as potential energy stored in an object lifted by the pulley system). By understanding the mechanical advantage and the principles of work and energy, one can calculate the energy involved in a system of strings and pulleys.

What are some real-life applications of strings and pulleys?

Strings and pulleys have many real-life applications, such as in elevators, cranes, flagpoles, and even simple machines like window blinds. They are also used in weightlifting equipment, zip lines, and rock climbing gear. Essentially, any system that requires the transfer of force and energy can benefit from the use of strings and pulleys.

What is the difference between a fixed and a movable pulley?

A fixed pulley is attached to a stationary object, while a movable pulley is attached to the object being lifted. In a fixed pulley system, the direction of the force applied is changed, but the force remains the same. In a movable pulley system, the force is divided between the string and the object being lifted, resulting in a mechanical advantage.

How can the mechanical advantage of a pulley system be calculated?

The mechanical advantage of a pulley system can be calculated by dividing the load (weight being lifted) by the effort (force applied to the string). For example, if a 50 kg object is lifted with a force of 10 kg, the mechanical advantage would be 50/10 = 5. This means that the force applied is multiplied by 5, making it easier to lift the object.

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