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.
how to do this project
Discuss the Carnot cycle of operation and reduce the expression for efficiency. Carnot engine is works on the principle of Carnot cycle made up of four stages are represented as sh
The phenomenon of the formation of the Newton's rings can be explained on the basis of wave theory of light. When a light ray iP1 from an extended monochromatic light source S is a
Pressurized Water Nuclear Reactor There are two categories of nuclear reactors. The Pressurized Water Reactor (PWR) and the Boiling water reactor (BWR). Pressurized Water React
In a transmitter the final stage class C amplified with 18V DC supply calculate what equivalent Road the transistor to an antenna with 50ohm load impedance design and draw an L n
For the series-parallel arrangement shown in Figure, find (a) The supply current, (b) The current flowing by each resistor and (c) the p.d. across each resistor
It is an instrument which can detect/calculate very small electric currents. It is also called as moving magnet galvanometer. It has of three circular coils of insulated copper wir
Newton's law of universal gravitation (Sir I. Newton): Two bodies attract to each other with equal & opposite forces; the magnitude of this force is proportional to the produ
For a parallel-plate capacitor with plate area "A" and plate separation "d", the capacitance is proportional to which of the following? a) A divided by d squared b) A tim
Can you explain thermistor? Write short notes on back emf and internal resistance of a cell.
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