Newton's Laws of Motion : Block Problem

In summary: After considering the external forces on the block-plus-pulleys, the net force is T√2, which results in an upward force on the block.
  • #1
rajumahtora
18
0

Homework Statement



In the arrangement shown, all surfaces are frictionless, mass of block M = 30 kg and m = 20 kg.
If F = 180 N , Find accelerations of both the blocks
attachment.php?attachmentid=65490&stc=1&d=1389379517.jpg


2. Doubt

What amt of force will act on larger block M, just T(coz of horizontal string around the pulley) or 2T(coz of both the strings around the pulley)
 

Attachments

  • paint1.jpg
    paint1.jpg
    10.3 KB · Views: 591
Physics news on Phys.org
  • #2
Imagine that the pulleys were not attached to anything else except the string. In which directions do you think they would be pulled?
 
  • #3
hi rajumahtora! :smile:

when you consider the forces on a body, you must consider the whole body …

the block M is attached to the pulleys, so you must consider the external forces on the block-plus-pulleys :wink:
 
  • #4
rajumahtora said:

Homework Statement


In the arrangement shown, all surfaces are frictionless, mass of block M = 30 kg and m = 20 kg.
If F = 180 N , Find accelerations of both the blocks

attachment.php?attachmentid=65514&stc=1&d=1389452404.jpg



2. Doubt

How much force will be applied on the larger block M by the pulley(coz of tension)?
1. T towards right
2. T towards up
3. T√2 45° to the right
4. Any other answer


3.Reason for doubt

If the total for exerted on the T i(cap) + T j(cap) i.e. Fnet on Bock M due to tension of string on pulley is T√2,
then there will be a force which will tend to pull block M upward...and if the accln of string is much higher, then the tension in the string will cause the block to accelerate up.

[To Jilang and tiny-tim,
After reading ur answer, i had this doubt too...so i asked again]

If anything else, please answer...
Thanks

(please don't start a new thread)

as i said before, so you must consider the external forces on the block-plus-pulleys (as a single body), not just the block on its own
 
  • #5
rajumahtora, please clarify your question. There are two pulleys attached to M. Are you asking what the net force on M is from the two pulleys, or what force each pulley exerts on the block separately?
(What do you think the two separate forces are?)
 

FAQ: Newton's Laws of Motion : Block Problem

1. What are Newton's Laws of Motion?

Newton's Laws of Motion are three fundamental principles in physics that describe the behavior of objects in motion. They were developed by Sir Isaac Newton in the 17th century and are still widely used today to understand and predict the motion of objects.

2. What is the "Block Problem" in relation to Newton's Laws of Motion?

The "Block Problem" is a physics problem that involves a block resting on a surface and being acted upon by external forces. It is commonly used to illustrate the application of Newton's Laws of Motion in solving real-world problems.

3. What is the first law of motion in relation to the Block Problem?

The first law of motion, also known as the law of inertia, states that an object at rest will remain at rest and an object in motion will continue moving at a constant velocity, unless acted upon by an external force. In the Block Problem, this means that the block will not move or change its velocity unless an external force is applied.

4. How does the second law of motion apply to the Block Problem?

The second law of motion states that the acceleration of an object is directly proportional to the net external force acting on the object and inversely proportional to its mass. In the Block Problem, this means that the larger the force applied to the block, the greater its acceleration will be, and the heavier the block, the smaller its acceleration will be.

5. How does the third law of motion relate to the Block Problem?

The third law of motion, also known as the law of action and reaction, states that for every action, there is an equal and opposite reaction. In the Block Problem, this means that the force applied to the block by an external source will result in an equal and opposite force being applied to the source by the block.

Similar threads

Back
Top