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

In summary, the problem involves a 20.0kg block on a 30.0° ramp with a coefficient of static friction of 0.850. The question asks if the block will slide down the ramp and what the minimum applied force would be in both scenarios. The relevant equations are Fnet=ma, |Ff|= µ |FN|, and g= Fg/m. The attempt at a solution involves calculating the acceleration using the given values and solving for the minimum applied force. The correct answers are [stationary] and [-46.3N].
  • #1
Kytte
2
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:
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  • #2
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:
 
  • #3


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!
 

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

1. What is friction on an inclined plane?

Friction on an inclined plane is the force that resists the motion of an object as it slides or rolls down an inclined surface. It is caused by the microscopic roughness of the two surfaces in contact.

2. How does the angle of the inclined plane affect friction?

The steeper the angle of the inclined plane, the greater the force of friction. This is because a steeper angle increases the normal force, which is the force perpendicular to the surface, and friction is directly proportional to the normal force.

3. What factors affect the amount of friction on an inclined plane?

The amount of friction on an inclined plane is influenced by the roughness of the surfaces, the weight of the object, the angle of the incline, and the coefficient of friction, which is a measure of how easily the surfaces slide against each other.

4. How can friction be reduced on an inclined plane?

Friction on an inclined plane can be reduced by using a smoother surface, reducing the weight of the object, decreasing the angle of the incline, or using a lubricant between the surfaces.

5. What is the formula for calculating friction on an inclined plane?

The formula for calculating friction on an inclined plane is F = μN, where F is the force of friction, μ is the coefficient of friction, and N is the normal force. The normal force can be calculated using the equation N = mgcosθ, where m is the mass of the object, g is the acceleration due to gravity, and θ is the angle of the incline.

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