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 data is transmitted
Op-amp as a Subtractor A fundamental differential amplifier can be used as a subtractor as shown in figure (c) In this figure, all external resistors are equal in value, so
microscopic view of ohms law
Cut an apple in two parts with inertia Secure a long sharp knife like as a carving knife. Cut into the apple with the knife unless you can pick them up together. Be sure to hav
Q. What's the way of the force if exerted on charged particle? Described below is a positively charged particle in a rightward-directed electric field. The particle has a veloc
Stretch the fore-finger, central finger and thumb left hand mutually perpendicular. Then if the fore-finger shows in the direction of field and the central in the direction of cu
IN PHYSICS B OCR THE POTENTIAL DIVIDER AND CALCULATION ON LENS ARE TRICKY. HOW DO I APPROACH AND UNDERSTAND QUESTIONS?
Length contraction
Write down the electromagnetic wave equation in free space, in terms of vector and scalar potential.
Gravitational Field inside a Spherical Shell In this problem we prove that the gravitational field inside a thin spherical shell of finitemass is zero. By extension, the field
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