2 Masses, Friction, Inclined Plane, Pulley problem

AI Thread Summary
The problem involves two masses connected by a massless rope over a frictionless pulley on an inclined plane that has friction. To solve for the tension in the rope and the acceleration of the blocks, Newton's 2nd Law is applied, allowing for the establishment of two dynamical equations. The frictional force can be calculated using the formula F_f = μN, where μ is the coefficient of friction and N is the normal force. With two equations and two unknowns—tension and acceleration—solving the system yields the desired results. This approach effectively simplifies the problem to find the answers.
shaggyster
Messages
1
Reaction score
0
Here's a problem I've been having trouble with. I was hoping someone out there can give me some insight on it. Basically it's just two masses both coupled together with a massless rope on a frictionless and massless pulley on an inclined plane WITH friction. Here's the diagram. The problem is to figure out the tension in the rope and the acceleration of the blocks.
 

Attachments

  • physics.jpg
    physics.jpg
    5.4 KB · Views: 1,540
Physics news on Phys.org
Well, use Newton's 2nd Law, and pick a direction for the acceleration.

\sum_{i=1}^{n} \vec{F}_{i} = m \vec{a}

Also remember

F_{f} = \mu N
 
you get two dynamical equations... In which there are only two unknowns... Tension and acceleration... frictional force is known... Two equations two variables...Voila ! Theres your answer
 
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Thread 'Struggling to make relation between elastic force and height'
Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...

Similar threads

Replies
3
Views
2K
Replies
2
Views
2K
Replies
3
Views
2K
Replies
10
Views
5K
Replies
3
Views
2K
Replies
68
Views
12K
Replies
13
Views
1K
Back
Top