Angular motion problem question

AI Thread Summary
A homogeneous cylinder with a mass of 1.20 kg and a diameter of 25 cm rolls down a 25-degree inclined plane, and the problem requires calculating its speed after rolling 1.00 m. The moment of inertia for the cylinder is determined using the formula "1/2MR^2." The solution approach involves applying the conservation of energy principle, equating the total mechanical energy at the top of the incline to that at the bottom. A diagram illustrating the initial and final positions of the cylinder is suggested to visualize the energy transformation. The discussion emphasizes the importance of understanding energy types and their conservation in solving the problem.
Skoob
Messages
3
Reaction score
0

Homework Statement


A homogeneous cylinder of mass 1.20 kg and diameter 25 cm rolls down an inclined plane that makes an angle of 25 degrees with the horizontal. What is the speed of the axis of the cylinder by the time the cylinder has rolled 1.00 m down the plane?

Homework Equations

The Attempt at a Solution


So what I did was I first converted the diameter into meters. Then I divided that by 2 to give the the radius. I calculated it's moment of inertia of the cylinder, which is "1/2MR^2". I'm stuck after that.
 
Physics news on Phys.org
Use conservation of energy.
1. Draw a diagram showing the situation at the beginning of the motion and at the end.
2. Write down the types of energy that the object has in each situation
3. Equate the total mechanical energy at the top to that at the bottom
 

Thread 'Errors and significant figures'

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...
View full post »
Thread 'A cylinder connected to a hanging mass'

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...
View full post »

Similar threads

Speed of cylinder rolling along a horizontal surface gathering snow (Solved)
Replies
13
Views
2K
Motion of a Cylinder: Angular Velocity & Horizontal Distance
Replies
18
Views
2K
Moment of inertia problem involving a cylinder rolling down an incline
Replies
11
Views
2K
Rolling without slipping problem
Replies
42
Views
3K
Angular momentum and a summersault problem
Replies
19
Views
2K
Question on Rotational Motion and Torque Theory
Replies
21
Views
7K
How Does Angular Velocity of a Rolling Cylinder Change Over Time?
Replies
5
Views
2K
Angular momentum after a collision
Replies
1
Views
2K
Rotational Mechanics question with spring
Replies
4
Views
2K
Which Object Will Roll Farther: Solid Cylinder or Hoop on an Incline?
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top