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.
The frequency of a wave is 50 Hertz and its wavelength is 25 meters. What is the velocity of this wave? Ans: The velocity of given wave is 1250 meters/second.
A spectrometer is required for creating pure spectrum of a source in laboratory and measuring of ? of material of prism and ? of a transparent liquid. It has of three parts: Col
how to solve A • B x C = A x B • C?
A block of metal which weighs 60 newtons in air and 40 newtons under water has a density, in kilograms per meter cubed, of: a) 1000 b) 3000 c) 5000 d) 7000
what is dead time of GM tube?
A moving elevator and a ball or an object being dropped inside it with some given speed/acceleration. Ans) You must know the concept of inertial and noninertial frames.non inertia
Illustrate the c-scan presentation of test specimen? C-mode: The C-scan presentation gives a plan-type (2D) view of the location and size of test specimen characteristics. T
Q State Lenz's law. Lenz's law declares that the induced current produced in a circuit always flows in such a direction that it opposes the change or cause that produces it.
Permeability of free space; magnetic constant; mu_0 The ratio of the magnetic flux density in a substance is to the external field strength for vacuum. This is equal to 4 pi x
Two long wires 'P' and 'Q', carrying equivalent currents of 5 Ampere and the distance among the wire is 5 cm. Determine the force applied on each wire if a. Current flowing in
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