An object with a mass of #12 kg# is on a ramp at an incline of #pi/12 #. If the object is being pushed up the ramp with a force of # 6 N#, what is the minimum coefficient of static friction needed for the object to remain put?

Answer 1

0.2

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To find the minimum coefficient of static friction, use the equation:

[ \mu_s \geq \tan(\theta) ]

where ( \theta ) is the angle of the incline and ( \mu_s ) is the coefficient of static friction.

Given:

  • Mass (( m )) = 12 kg
  • Incline angle (( \theta )) = ( \frac{\pi}{12} )
  • Force pushing up the ramp (( F )) = 6 N

Substituting the values:

[ \mu_s \geq \tan\left(\frac{\pi}{12}\right) ]

[ \mu_s \geq \tan(15^\circ) ]

[ \mu_s \geq 0.2679 ]

So, the minimum coefficient of static friction needed for the object to remain put is approximately 0.2679.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7