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.
what will happen if gravity becomes zero?is it possible in earth?
Explain about Atoms Atoms - having of a nucleus (central core) and orbiting electrons. Nucleus have protons (+ particles) and neutrons (neutral particles). Neutral atoms have
scalar and vecror
What occures to the normal shift when the thickness of the optical medium is decreased? Write down the expression for equivalent focal length of combination of two thin lenses d
Can CPH Theory explain the physical conservation laws? Answer; sure, all the physical conservation laws come up of properties of CPH. Everything is made of a CPH. A CPH has sta
On transitory from a medium with one index of refraction to a medium with a different index of refraction light is typically both reflected and refracted. Under some conditions how
Find the speed of the wave A copper wire, whose cross-sectional area is 1.1 x 10 -6 m 2 has a linear density of 7.0 x 10 -3 kg/m and is sturng between two walls. At the ambient
Suppose that a nickel filter is required to produce an intensity ratio of Cu K a to Cu K ß of 100/1 in the filtered beam. Calculate the thickness of the filter and the transmission
LIST DIFFRENT THEM
What is the force required to accelerate a mass of one kilogram one meter per second per second? Basically, you have defined the Newton. Force is the vector product of mass
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