A Solid Cylinder rolling down a ramp

AI Thread Summary
A solid cylinder rolling down a ramp without slipping will experience changes in its motion if the surface becomes slippery. The equations of motion indicate that potential energy converts to kinetic energy, with friction playing a crucial role in this process. As friction decreases due to a slippery surface, the cylinder's acceleration may be affected, leading to uncertainty about whether it will roll faster or slower. The discussion emphasizes the relationship between friction, force, and the cylinder's speed. Ultimately, the reduction in friction suggests the cylinder could potentially roll faster down the ramp.
Miu.
Messages
1
Reaction score
0
1.A solid cylinder rolling down a ramp without slipping.

if the surface were slippery, would the time increase or dcrease.




2. PE+KE = PE +KE
mgh = 1/2IW^2+1/2mv^2
F=ma

f= mgsin(theta)/(1+mR^2/Icm)


3. Apperantly this question has several parts. The previous ones were related to the equations on top. This should also relate to the force, since the friction of the ramp will decrease due the the rain. I am really not sure how to start this problem. @_@
 
Physics news on Phys.org
Miu. said:
3. Apperantly this question has several parts. The previous ones were related to the equations on top. This should also relate to the force, since the friction of the ramp will decrease due the the rain. I am really not sure how to start this problem. @_@

Since the friction decreases, do you think the cylinder will be going faster or slower?
 
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