Finding the Tension in a String Using Newton's Laws

Click For Summary
SUMMARY

This discussion focuses on solving a physics problem involving Newton's laws to determine the angle and tension in a string attached to a toy in a van accelerating down a hill. The user successfully calculated the angle theta as 30.677 degrees using the equation V=Vo+at and the downhill force of 0.5 Newtons. However, they encountered difficulties in calculating the tension in the string, attempting to apply F=ma without success. The community suggests drawing a force diagram to clarify the forces at play.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Proficiency in basic kinematics equations
  • Knowledge of free body diagrams
  • Familiarity with trigonometric functions in physics
NEXT STEPS
  • Study the derivation of tension in inclined planes using Newton's laws
  • Learn how to construct and analyze free body diagrams for complex systems
  • Explore the relationship between forces and angles in physics problems
  • Review kinematic equations and their applications in real-world scenarios
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in applying Newton's laws to solve real-world problems involving forces and motion.

AznBoi
Messages
470
Reaction score
0
This problem involves Newton's laws. I got the first half of the problem but I am stuck on the second part. Please take your time to guide me through it, thanks!
Problem:
A van accelerates down a hill, going from rest to 30 m/s in 6 seconds. During the accceleration, a toy (m=.1kg) hangs by a string from the van's ceiling. The acceleration is such that the string remains perpendicular to the ceiling and to the ramp.

Determine a) the angle theta and b) the tension in the string.


Ok I found the angle theta by finding the acceleration of the van with the equation V=Vo+at. Next I found the downhill Force which is .5Newtons. Then I used F sub d(downhill force)=W sin theta. I came up with theta equals 30.677 degrees which is correct because I checked the answer.

How do I find the tension in the string? I tried using F=ma and came up with: F sub d + F sub y + (-T) = ma But that didn't work.. Fy is downward force perpendicular to the ramp, when I got x and y components.


Give me a hint for B) please! Thanks.
 
Physics news on Phys.org
the only thing that i can recommend is to draw a force diagram and label all the numbers on that and see if you can figure out some sort of equation from that
 
yeah I did.. but that's the equation I got and it doesn't work. :frown:
 

Similar threads

  • · Replies 13 ·
Replies
13
Views
2K
Replies
13
Views
3K
Replies
4
Views
1K
Replies
44
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 42 ·
2
Replies
42
Views
6K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 38 ·
2
Replies
38
Views
5K