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

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SUMMARY

The discussion centers on a physics problem involving a 20.0 kg block on a 30.0° ramp with a static friction coefficient of 0.850. The block does not slide down the ramp due to the balance of forces, specifically the gravitational force and the frictional force. The minimum applied force required to keep the block stationary is calculated to be -46.3 N, indicating that a force must be applied upwards along the ramp to prevent sliding.

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Kytte
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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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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!
 

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