Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Bead Sliding on Wire
A vertical hoop supports a wire which is attached from the top of the hoop to any other point. Illustrate that the time required for a frictionless bead to slide down the wire is the same for any destination point. A relevant kinematics equation is
x = v0t +1/2at2.
The acceleration is g cos θ. Since v0 is zero we can write
x =1/2(cosθgt2).
But x = 2Rcos θ from geometry. So
2Rcosθ =1/2(cosθgt2)
2R =1/2(gt2)
And,
t = 2√R/g,
Which is independent of the angle θ, and depends only on the radius of the hoop and the acceleration due to gravity.
Note that the problem and its solution is unchanged if one end of the wire is connected to the bottom of the hoop instead of the top.
Sir James Jeans, in his remarkable book "An Elementary Treatise on The-oretical Mechanics" noted that the solution suggests an interesting mini-mization problem. Namely, where to place a wire from a fixed point to aninclined plane such that the time for a bead to slide from the point to the plane is a minimum?
The practical form of the solution is to configure a vertical hoop in a plane at a 90 degree angle to the ramp with its top at the fixed point P and to adjust its diameter until it just touches the
ramp at point T. A wire from the top to the point of tangency will provide the least time. Why? Because every other path from the point will touch the hoop at the same time, but the wire chosen is the only one which will have reached the plane in this time.
a person holds of hay over his head for 30 min and gets tired . has he done some wirk or not? justify your answer
What is the specific resistance of material of a conductor. What do you mean by thermoelectric refrigerators?
Some sample
Out of ordinary and extra-ordinary waves, which wave obeys Snell's law?
The dimentional formula of pressure ML -1 T -2
what are characteristics of simple harmonic motion
What is Otto Cycle? The cycle of a highly idealized gasoline engine can be approximated by the Otto cycle. 1 → 2 and 3 → 4 are adiabatic compression and expansion, respectively
If we permit monochromatic light to fall normally on the surface of lens, then circular interference fringes of radius r can be consider in the reflected light. This circular fring
Writing a paper on physics topic, select any of topic of your choice
Q. Illustrates the evidence is there supporting the Big Bang theory? Answer:- In brief the universe is expanding. Each of the galaxies we have observed that are utmost awa
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd