Calc based physics 1 homework help

AI Thread Summary
To solve the problem of a cart, circular hoop, and solid cylinder rolling down a 22-meter incline at a 22-degree angle, one must consider the moment of inertia and its effect on angular acceleration. The time taken for each object to reach the bottom can be determined by calculating their velocities, factoring in both translational and rotational motion. Objects with higher moments of inertia will roll down slower than those with lower moments. The moment of inertia for the hoop and cylinder is straightforward, but clarification is needed for the cart's moment of inertia. Understanding these principles is crucial for accurately solving the homework problem.
Nightrider519
Messages
9
Reaction score
0

Homework Statement



A small cart, circular hoop and a solid cylinder of the same mass (5Kg) are allowed to roll down an incline plane. the length of the plane is 22 meters and the angle of incline is 22 degrees. Find the time it takes for each object to reach the bottom of the incline plane.

I am totally and utterly lost on how to even start the problem any help at all would be greatly appreciated thanks in advance
 
Physics news on Phys.org
I guess it has to see with the moment of inertia and angular acceleration.
It would be nice if you could find the velocity of the rolling objects (their center of mass' velocity) so that you could find out how much time they'll take to reach the bottom of the inclined plane.
 
how would the moment of inertia even apply to this problem
 
Think about it: if an object has a very huge moment of inertia, it will try to resist to roll. So it will go down slower than an object with a little moment of inertia.
 
k he moment of inertia for the hoop and cylinder is no problem but what about the shopping kart
 

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

Which sphere reaches the bottom of the inclined plane first
Replies
19
Views
4K
Which Object Will Roll Farther: Solid Cylinder or Hoop on an Incline?
Replies
2
Views
2K
Projectile Velocity for Perpendicular Impact on an Inclined Plane
Replies
3
Views
2K
Rolling cylinder or slipping cylinder reaches bottom first?
Replies
5
Views
4K
Angular motion problem question
Replies
1
Views
1K
Torque on cylinder due to current in loop
Replies
1
Views
3K
Physics circular motion and gravity help please
Replies
7
Views
2K
Effect of density on downward rolling spheres
Replies
14
Views
4K
Find i such that ##t_{net}=0## for a loop/(Cross prod. help)
Replies
5
Views
2K
Solve Physics Homework: Pendulum Tension Force
Replies
6
Views
15K

Hot Threads

Recent Insights

Back
Top