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

AI Thread Summary
The discussion revolves around calculating the frictional force acting on a 16 kg mass resting on an incline with given coefficients of static and kinetic friction. The user initially calculates the normal force using the equation N = mg * cos(θ), resulting in a value of 131.50 N. They then apply the static friction formula, multiplying the coefficient of static friction (0.7) by the normal force to find a frictional force of 92.052 N. However, the user expresses uncertainty about their answer and seeks clarification on the component of force acting down the incline and the corresponding frictional force opposing it. The conversation highlights the importance of understanding both normal force and the forces acting along the incline.
kmikias
Messages
72
Reaction score
0
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.
 
Physics news on Phys.org


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