Golden earrings and the golden ratio

Reference no: EM13672137

Golden Earrings and the Golden Ratio:

A popular earring design features a circular piece of gold of diameter D with a circular cut out of diameter d, as shown in the figure. If this earring is to balance at the point P, show that the diameters should satisfy the condition: D = fd, where f = (1 + 5) / 2= 1.61803 K is the famous “golden ratio.”

Reference no: EM13672137

Questions Cloud

Direction-friction in the physics sense : Ken and Kim are skating together on a rink at 3.00 m/s. Ken keeps asking Kim how much she weighs. Annoyed, Kim pushes away from Ken so that she speeds up to 4.00 m/s and he slows down to 2.40 m/s in the same direction. Friction, in the physics sense,..

Purpose of the learners log book : The purpose of the Learner's Log Book (LLB) is to document the achievements of the learner in a central repository that will be considered as evidence on the effectiveness of the learning process.

Torque generated by the motor to bring the wheel : An electric motor can accelerate a Ferris wheel of moment of inertia I = 18500kg·m2 from rest to 10.1rev/min in 12.0s. When the motor is turned off, friction causes the wheel to slow down from 10.1 to 8.1 rev/min in 10.0s.

Disk-shaped merry-go-round of radius : A disk-shaped merry-go-round of radius 2.63 m and mass 155 kg rotates freely by an angular speed of 0.712 rev/s. A 59.4 kg person running tangential to the rim of the merry-go-round at 2.76 m/s jumps onto its rim and holds on. Before jumping on the m..

Golden earrings and the golden ratio : A popular earring design features a circular piece of gold of diameter D with a circular cut out of diameter d, as shown in the figure. If this earring is to balance at the point P, show that the diameters should satisfy the condition: D = fd, where ..

Gauge velocity of bullet is to have two cardboard disks : An experiment that can be used to gauge the velocity of a bullet is to have two cardboard disks attached to a rotating shaft some distance apart and to gauge the angular separation of the holes made by the bullet. In such an experiment, two cardboard..

Two blocks collide on a frictionless surface : Two blocks collide on a frictionless surface. After the collision, the blocks stick together. Block A has a mass M and is initially moving to the right at speed v. Block B has a mass 2M and is initially at rest. System C is composed of both blocks.

To measure the speed of light : To measure the speed of light, Fizeau used a rotating disk with equally spaced holes during which light could pass. Light was directed at the rotating disk, passed during one of the holes, bounced from a distant mirror, and then the angular speed of ..

Speed of the skier on reaching the bottom of the slope : A 60-kg skier starts from rest from the top of a 50-m high slope. If the work done by friction is -6.0 x 10^3 J, what is the speed of the skier on reaching the bottom of the slope?

User Account

All Pages