What Is the Frictional Force Acting on a 16 kg Mass on an Incline?

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SUMMARY

The frictional force acting on a 16 kg mass on an incline is determined using the coefficients of static and kinetic friction, μs = 0.7 and μk = 0.59, respectively. The normal force (N) is calculated as 131.50 N, derived from the equation N - cos(33°) * mg = 0, where g = 9.8 m/s². The static friction force is then computed as 92.052 N using the formula static friction = μs * N. The discussion highlights the need to consider the component of gravitational force acting down the incline to accurately determine the opposing frictional force.

PREREQUISITES
  • Understanding of static and kinetic friction coefficients
  • Knowledge of normal force calculation
  • Basic trigonometry for resolving forces on an incline
  • Familiarity with Newton's laws of motion
NEXT STEPS
  • Calculate the gravitational force component acting down the incline for a 16 kg mass
  • Explore the implications of different incline angles on frictional forces
  • Learn about the dynamics of objects on inclined planes in physics
  • Investigate the differences between static and kinetic friction in practical applications
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding forces acting on objects on inclined planes.

kmikias
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Hi all i have a question that i couldn't figure out here is the question.


1.A block is at rest on the incline. The coefficients of static and kinetic friction are μs = 0.7 and μk = 0.59, respectively. The acceleration of gravity is 9.8 m/s2 .What is the frictional force acting on the 16 kg mass? Answer in units of N

here is what i did.

First i try to find the normal force.which is F = M * a

which equall to N - cos33 * mg = ma
N - cos 33 * 16 (9.8) = 0 because acceleration is 0.
then N = 131.50

After i found normal force I use static friction = μ * N

which is 0.7 * 131.50 = 92.052.

Ok then my answer is still wrong so i need some help .

thank you.
 
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What is the component of force down the incline? And therefore how much frictional force opposes it.
 

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