Toaster Cord Tension Angle Optimization

AI Thread Summary
To optimize the tension in the toaster's cord when pulling it, the angle of pull above the horizontal is crucial. The discussion emphasizes the importance of creating a free body diagram to analyze the forces acting on the toaster, particularly the x and y components. Participants suggest using net force equations to derive the necessary conditions for movement, cautioning against premature cancellation of variables. Clarification is sought on the correct method to approach the problem, indicating that a structured procedure is essential for solving the equations accurately. Properly addressing these components will lead to determining the optimal pulling angle for minimal cord tension.
G.T
Messages
3
Reaction score
0

Homework Statement


A 1.26kg toaster is not plugged in. The coefficient of static friction between the toaster and a horizontal countertop is 0.395. To make the toaster start moving, you carelessly pull on its electric cord. For the cord tension to be as small as possible, you should pull at what angle above the horizontal?

Homework Equations


F=ma
Fantastic 5

The Attempt at a Solution


I have tried using a regular F net equation, but was told that I need to derive somewhere?
 
Physics news on Phys.org
You need to draw a free body diagram and be careful to consider x and y components of the vectors.

What is the y component of acceleration (therefore the net y component of force divided by mass)?
 
I have tried this, but it lead to me cancelling out my unknown? Is there a specific method/procedure that I should follow?
 
You did it wrong. Try again. Post vertical and horizontal equations here before you cancel anything out.
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged 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

Solving the Toaster Friction Problem
Replies
10
Views
9K
Find Angle to Pull Toaster Cord for Min. Tension
Replies
2
Views
4K
The tension in the cord in this system
Replies
7
Views
2K
What Is the Minimum Tension Needed to Move a Toaster on a Countertop?
Replies
14
Views
12K
What is the largest pulling force before the string breaks?
Replies
13
Views
4K
Finding tension in cords with given resultant force
Replies
5
Views
4K
Dynamics of a Cord: Solving Tension for Arlene
Replies
3
Views
4K
Acceleration and Tension in a Pulley System
Replies
9
Views
6K
Calculating Tension for a Box on a Horizontal Surface with Friction
Replies
9
Views
3K
Rope between inclines with maximum length of hanging middle portion
Replies
46
Views
2K

Hot Threads

Recent Insights

Back
Top