Friction and tensions with two blocks on a string on an incline

AI Thread Summary
The discussion focuses on a physics problem involving two blocks connected by a string over a pulley, with one block on an incline and the other hanging. The incline is at a 37-degree angle, with the hanging block weighing 16 kg and the block on the incline weighing 8 kg, while the coefficient of kinetic friction is 0.23. The user calculated the gravitational forces and friction, determining the net force of the system and an acceleration of approximately 4 m/s². They also calculated the tension in the string to be 92.8 N but expressed uncertainty about whether this value is consistent throughout the string. The conversation confirms the calculations are generally correct, emphasizing that tension remains constant in an ideal string.
rnien
Messages
4
Reaction score
0

Homework Statement


Two blocks are connected by a string over a frictionless, massless pulley such that one is resting on an inclined plane and the other is hanging over the top edge of the plane. the hanging block has a mass of 16 kg and the one on the plane has a mass of 8 kg. the coefficient of kinetic friction between the block and the inclined plane is 0.23. the blocks are released from rest.
Edit: The incline is at an angle of 37 degrees.

a. what is the acceleration of the blocks?
b. what is the tension in the string connecting the blocks?

Homework Equations


Ffr=Coefficient x Fn
A= Fnet / Mass

The Attempt at a Solution


I solved for the Fgx and the Fgy using cos and sine. I got Fgx= 47.18 N, and for Fgy= 62.6 N. I solved for Force of friction using equations above and got 14.4 N. Also I found the Fg for the 16 kg block to be 156.8. So I found Fnet of the whole system = 95.22. Divided by mass of 24 gives an acceleration of 4 m/s2 (I think ?)

For tension, so far I have figured the tension of the string of just the 16 kg block to be 92.8 N ? Not sure where to go now..
 
Last edited:
Physics news on Phys.org
It seems that you're doing it right, but what's the angle of inclination of the plane? You seem to have forgotten to tell us this.
 
Oops, sorry, the incline is at an angle of 37 degrees.
 
Then I think your calculations are fine.
 
Okay thank you! But is my tension right? I found tension for the string above the hanging block to be 92.8 N but I'm confused as to if I have to add anything to this? or the tension is the same throughout the string??
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Incline with friction and two blocks
Replies
5
Views
3K
Tension in a string connecting two blocks having equal and opposite velocities
Replies
21
Views
382
Block and pulley on movable incline
Replies
2
Views
2K
Spring and block on an inclined plane
Replies
27
Views
9K
What is the maximum tension and friction force for a block held on an incline?
Replies
19
Views
4K
Newton's law problem: Pushing 2 stacked blocks on a horizontal table
Replies
13
Views
3K
Force pulling on a string at an angle with a block at the other end
Replies
2
Views
1K
Rocket + Connected Body Dynamics problem
Replies
47
Views
3K
Static Friction Required to Keep the System from Moving (Two Boxes)
Replies
16
Views
3K
Find tension in string between two blocks on horizontal surface
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top