How Do You Solve These Challenging Physics Problems?

AI Thread Summary
The discussion revolves around two challenging physics problems involving a mass in a rotating tube and a mass suspended from a spring. For the first problem, participants are encouraged to analyze the motion and acceleration of the mass at an angle of 56.5 degrees to determine the number of revolutions in 12 seconds. The second problem requires calculating the total length of a spring when a heavier mass is added, using Hooke's law to find the spring's extension. Participants emphasize understanding the relationship between force, mass, and spring extension to arrive at the correct solutions. Overall, the thread highlights the importance of applying fundamental physics concepts to solve these problems effectively.
orange_angel
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Two Physics Problems .. plsss help ??!

Q1 :

The figure shows a mass M inside a tube bent in a circle of radius R=1.20 m. M can slide with negligible friction inside the tube. The tube rotates about a vertical axis passing through the center. The mass is in equilibrium at q =56.5 degrees. Calculate the number of revolution the hoop makes in 12.0 s.

THE FIGURE : http://www3.0zz0.com/2006/12/22/10/35335598.gif

Q2:

A 8.40 kg mass suspended from a spring with spring constant, k = 800.0 N/m, extends it to a total length of 0.270 m. Find the total length of the spring when a 13.40 kg mass is suspended from it.
 
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orange_angel said:
Q1 :

The figure shows a mass M inside a tube bent in a circle of radius R=1.20 m. M can slide with negligible friction inside the tube. The tube rotates about a vertical axis passing through the center. The mass is in equilibrium at q =56.5 degrees. Calculate the number of revolution the hoop makes in 12.0 s.

THE FIGURE : http://www3.0zz0.com/2006/12/22/10/35335598.gif

Q2:

A 8.40 kg mass suspended from a spring with spring constant, k = 800.0 N/m, extends it to a total length of 0.270 m. Find the total length of the spring when a 13.40 kg mass is suspended from it.
You will have to show what you have done to attempt a solution.

AM
 
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the second question :i don't know how to begin !
...
the first question

F=kx, where F is the force applied, k is the spring constant and x is the distance stretched.

k = 800 N/m
x=0.270
F=kx=800*0.270=216N/m

I don't know how to find the total length of the spring ..

[ i never learn physics before .. i have many problems ! I'm trying to be better ..]
 
orange_angel said:
k = 800 N/m
x=0.270
F=kx=800*0.270=216N/m
Careful: 0.270 m is the total length of the spring, not the amount of stretch. Use Hooke's law to figure out how much the spring stretched when the weight was added--this will allow you to calculate the unstretched length.

Hint for question #1: What kind of motion does the mass undergo? What kind of acceleration?
 
ok ..

in question 2 :

maybe i have to do that :

F=mg=13.40*9.81=131.454 N

x=F/k=131.454/800=0.1643m


is it right ??
 
orange_angel said:
maybe i have to do that :

F=mg=13.40*9.81=131.454 N

x=F/k=131.454/800=0.1643m
That's certainly an essential step in solving the problem. What is the meaning of what you have calculated, and how does it relate to the final solution?
 
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