How to calculate the net force required for the system of pulleys to move at a given acceleration?

Question

Figure shows a system of 3 blocks of 5 kg mass each. Find the value of external force F required to move the block A at acceleration #5#m/#s^2#. Take all surfaces smooth and g = #10 m#/#s2#

Leo Abeyta · Accepted Answer

#200N#

here the pulley on the mass #A# also applies force of #T# on horizontal as well as vertical direction as shown.

Benjamin Asiedu · Answer

undefined To calculate the net force required for a system of pulleys to move at a given acceleration, you can use the formula:

Net Force = (Total Mass * Acceleration)

Where:
- Total Mass is the combined mass of all the objects being lifted or moved by the pulley system.
- Acceleration is the desired acceleration of the system.

Make sure to include the mass of the objects being lifted as well as the mass of the pulley system itself. Once you have the total mass and the desired acceleration, you can multiply them together to find the net force required.

HIX Tutor · Answer

undefined Great question! Let's break it down step by step.

1. **What is Net Force?**
   - Net force is the total force acting on an object.

2. **What is Newton's Second Law?**
   - It tells us that Force = Mass × Acceleration (F = m × a).

3. **Find the Mass:**
   - Do you know the total mass of the system you are working with?

4. **Determine the Acceleration:**
   - What is the acceleration you want the system to move at?

5. **Calculate the Net Force:**
   - Use the formula: Net Force = Mass × Acceleration.
   - Multiply the total mass by the acceleration.

6. **Consider Friction:**
   - Is there any friction in the pulleys? If yes, you need to add that force too.

7. **Final Calculation:**
   - Add any extra forces (like friction) to the net force you calculated.

Does this help you understand how to find the net force?