What Are the Solutions to This Two-Block System Problem?

In summary, the two connected blocks on a frictionless plane will move in the direction of the larger mass when released from rest, with an acceleration equal to the difference in mass divided by the total mass, and with a tension in the cords equal to the weight of the smaller block.
  • #1
mayeh
15
0

Homework Statement



two blocks CONNECTED by a cord over a frictionless planes, (for illus. see the fig. below) (a) which way will the system move when the blocks are released from rest?
(b)what is the acceleration of the blocks
(c)what is the tension in the cords?

<a href="http://www.imagevimage.com/gallery.php?entry=images/sa.JPG"><img src="http://www.imagevimage.com/thumbs/sa.JPG" border="0" alt="" /></a>

http://www.imagevimage.com/images/sa.JPG

Homework Equations





The Attempt at a Solution



I still don't have any attempted solutions since i can't figure out which direction will the system go.. pls help..

 
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  • #2
Well, you can try finding the force applied by tension along the slope of the wedge, and then comparing with the force of gravity on the blocks along the slope. Since the string is the same, the tension along the string will be uniform.
 
  • #3
mayeh said:
I still don't have any attempted solutions since i can't figure out which direction will the system go.. pls help..
You don't need to know the direction of the acceleration ahead of time. Just guess a direction, call the acceleration "a", and then solve for it. If it comes out positive, you guessed correctly; if negative, it's opposite to what you assumed.

(You can also figure out the direction by comparing the force pulling each mass down the plane.)
 
  • #4
thanks! i'll try that..
 

1. What are Newton's three laws of motion?

Newton's first law states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity unless acted upon by an external force. The second law states that the force acting on an object is equal to its mass times its acceleration. The third law states that for every action, there is an equal and opposite reaction.

2. How do you solve a law of motion problem?

To solve a law of motion problem, you first need to identify the variables given in the problem, such as mass, acceleration, force, and time. Then, use the appropriate equation from Newton's laws of motion to solve for the unknown variable. It is important to draw a free-body diagram to visualize the forces acting on the object.

3. What is the difference between static and kinetic friction?

Static friction is the force that prevents an object from moving when a force is applied to it. It is always equal and opposite to the applied force and increases as the applied force increases. Kinetic friction, on the other hand, is the force that acts on an object in motion and opposes its motion. It is generally less than static friction.

4. Can you give an example of an application of Newton's laws of motion?

One example of an application of Newton's laws of motion is in the design of roller coasters. The laws of motion are used to calculate the forces on the riders and the tracks, ensuring a safe and enjoyable ride. Another example is in the design of rockets, where Newton's third law is used to propel the rocket by pushing hot gases out of the back of the rocket.

5. How do Newton's laws of motion apply to everyday life?

Newton's laws of motion apply to many aspects of everyday life. For example, the first law explains why objects stay still or keep moving unless acted upon by a force. The second law can be seen when pushing a shopping cart, as the harder you push, the faster it accelerates. The third law is demonstrated when jumping, as your feet push down on the ground, the ground pushes back and propels you into the air.

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