How Much Sooner Does a Box Reach the Bottom of an Incline Compared to a Disk?

  • Thread starter ronho1234
  • Start date
  • Tags
    Box Disk
In summary, a disk and a box of equal mass are released from two inclines with the same height and an angle to the horizontal. The radius of the disk is R. The question asks for the time difference between when the box and the disk reach the bottom of the incline, and the answer can be expressed in terms of the variables m, h, θ, R, and g. The problem can be solved using conservation of energy and moments of inertia, but it is unclear if there is a coefficient of friction involved.
  • #1
ronho1234
34
0
A disk and a box of equal mass are released from the top of two inclines both of which are a height h above the ground and make an angle θ to the horizontal. Let the radius of the disk be R. How much sooner does the box reach the bottom of the incline than the disk?
Express your answer in terms of some or all of the variables m, h, theta, and R, as well as the acceleration due to gravity g.
 
Physics news on Phys.org
  • #2
Probably best to tackle this one with conservation of energy and with moments of inertia :)
 
  • #3
The problem statement doesn't mention a cofficient of friction. Is the inclined plane frictionless for the box and not frictionless for the disk?
 

Related to How Much Sooner Does a Box Reach the Bottom of an Incline Compared to a Disk?

1. How do I solve this box and disk question?

To solve a box and disk question, you will need to first understand the problem and what is being asked. Then, you can use mathematical equations and principles to find the solution. It may also be helpful to draw a diagram or visualize the problem to better understand it.

2. What is the purpose of a box and disk question?

A box and disk question is a type of problem-solving exercise that requires critical thinking and mathematical skills. It is often used to test a person's ability to analyze a situation and come up with a solution using logical and mathematical reasoning.

3. Can you provide an example of a box and disk question?

Yes, an example of a box and disk question could be: "A box contains 3 red disks and 4 blue disks. If 2 disks are randomly selected without replacement, what is the probability that both disks are blue?"

4. What are some tips for solving a box and disk question?

Some tips for solving a box and disk question include: carefully reading and understanding the problem, breaking it down into smaller parts if necessary, using logical reasoning to come up with a plan of action, and double-checking your answer to ensure accuracy.

5. Are there any common mistakes to avoid when solving a box and disk question?

Yes, some common mistakes to avoid when solving a box and disk question include: misreading the problem or misunderstanding what is being asked, using incorrect formulas or equations, and not checking your work for errors. It is also important to pay attention to details and follow instructions carefully.

Similar threads

Disk connected to another object through a pulley on an incline
    • Introductory Physics Homework Help
Replies
18
Views
2K
Catching a loaf of bread thrown vertically at a window
    • Introductory Physics Homework Help
Replies
25
Views
539
Rolling cylinder or slipping cylinder reaches bottom first?
    • Introductory Physics Homework Help
Replies
5
Views
3K
Conservation of energy problem: Ball rolling down inclined plane and then through a loop-the-loop
    • Introductory Physics Homework Help
Replies
10
Views
543
Box and a Spring on on an inclined plane
    • Introductory Physics Homework Help
Replies
11
Views
2K
A ball (sphere) rotating along a moving incline
    • Introductory Physics Homework Help
Replies
14
Views
2K
Inclined disk rotating on the ground
    • Introductory Physics Homework Help
Replies
10
Views
1K
Spinning disk, friction and pure roll
    • Introductory Physics Homework Help
Replies
2
Views
1K
Finding the work done by a block
    • Introductory Physics Homework Help
Replies
4
Views
1K
Which sphere reaches the bottom of the inclined plane first
    • Introductory Physics Homework Help
Replies
19
Views
3K

Hot Threads

Recent Insights

Back
Top