Inclined Plane Force w/ Friction

AI Thread Summary
The discussion revolves around calculating the coefficient of static friction for a mass on an inclined plane with friction. A force of 59 Newtons is applied perpendicularly to the incline, and the incline angle at which the mass begins to slide is 56.7 degrees. Participants emphasize the importance of drawing a free body diagram (FBD) to accurately resolve gravitational forces into sine and cosine components. The normal force acting on the block is not equal to the applied force of 59 N, and calculations suggest that the coefficient of static friction is approximately 0.762, using the formula mg sin theta divided by the calculated normal force of 118 N. Understanding these forces is crucial for solving the problem accurately.
yankeekd25
Messages
27
Reaction score
0

Homework Statement


A mass of m = 11 kg is placed on incline plane with friction. A force with a magnitude of F = 59 Newtons is applied downward, perpendicular to the plane at all times. As the angle of the incline is increased from zero degrees it remains static until it reaches an angle of x = 56.7 degrees when it begins to slide. What is the coefficient of static friction for this situation?

I'm guessing that I sum up the forces as I would for a non-friction inclined plane problem, and then divide by the 59 N that they give you? Would I be assuming correctly?
 
Physics news on Phys.org
The normal reaction on the block due to the plane is not 59 N. Draw a complete FBD and you'll see. (Resolve the grav. force on the block into its sine and cosine components)
 
sArGe99 said:
The normal reaction on the block due to the plane is not 59 N. Draw a complete FBD and you'll see. (Resolve the grav. force on the block into its sine and cosine components)

I believe the answer is .762. mg sin theta / 118, where 118 is the calculated normal force?
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Friction direction change in a inclined circular bend (car on a road)
Replies
11
Views
996
Static equilibrium | Uniform sphere on incline | Determining friction
Replies
43
Views
2K
A problem from a physics national competition
Replies
13
Views
1K
Compute acceleration on an inclined plane with friction
Replies
5
Views
2K
Is there any friction in this case?
Replies
12
Views
1K
Inclined Plane Forces - with a twist
Replies
2
Views
1K
Determining the angle while dealing with friction on an inclined plane
Replies
8
Views
3K
Push/Pull Force of wheeled cart on an incline
Replies
7
Views
4K
How can we model a rolling truck on an incline using rotational motion analysis?
Replies
24
Views
2K
Minimum force required to prevent sliding down
Replies
1
Views
3K

Hot Threads

Recent Insights

Back
Top