Will the Block Slide Down a 30° Ramp with High Friction?

AI Thread Summary
A 20.0 kg block on a 30.0° ramp with a static friction coefficient of 0.850 is analyzed to determine if it will slide down. The calculations involve net force, friction, and gravitational components. If the block slides, the minimum applied force to keep it stationary is -46.3N. The discussion emphasizes the importance of showing attempts and identifying specific areas of confusion for effective assistance. Understanding the forces at play is crucial to solving the problem accurately.
Kytte
Messages
2
Reaction score
0

Homework Statement


A 20.0kg block is placed onto a 30.0°ramp with a coefficient of static friction of0.850. Will the block slide down the ramp?

a) - if the block slides down the ramp, what is the minimum applied force needed to keep the block stationary?
- if the block does not slide down the ramp, what is the minimum applied force needed to start the block stationary?

Homework Equations



a=Fnet/m |Ff|= µ |FN| g= Fg/m

The Attempt at a Solution



Fnet= Ff + Fg//
ma= (mu)mg(cosθ) + mg(sinθ)
a= [(.85)(20kg)(p.81m/s2)(cos30°) + (20kg)(-9.81m/s2)(sin30°)]/20kg





supposedly the answers are [stationary] and [-46.3N]
 
Last edited:
Physics news on Phys.org
Welcome to PF!

Hi Kytte! Welcome to PF! :smile:

(have a mu: µ anad a degree: ° :wink:)

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 


tiny-tim said:
Hi Kytte! Welcome to PF! :smile:

(have a mu: µ anad a degree: ° :wink:)

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:


ok thank you!
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging 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

Finding the work done by a block
Replies
4
Views
3K
Dynamics problem involving an inclined plane and Friction
Replies
1
Views
2K
Question Concerning The Coefficient of Friction: Block on a Rough Inclined Plane
Replies
5
Views
2K
Dynamics ramp and friction. Finding angle?
Replies
4
Views
2K
A-level Maths Mechanics: Prevent Block from Sliding Down Inclined Plane
Replies
30
Views
3K
Block sliding up an inclined plane
Replies
2
Views
2K
What Force Keeps the Block from Sliding on a Frictionless Inclined Ramp?
Replies
10
Views
2K
What is the displacement of a 3.0 kg block sliding down an inclined plane?
Replies
12
Views
2K
Physics homework help needed -- A mass sliding down a ramp with friction
Replies
14
Views
3K
How Far Will a Block Slide on an Incline with Friction?
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top