An object balances itself when a perpendicular line drawn through its Centre of Gravity (CG), passes through its base.
See the picture of a popular toy given below. The horse, the rider and the ball are all joined together as one single unit. This entire unit is balanced on the thin black rod shown. At which of the indicated positions, could the Centre of Gravity (CG) of the horse, rider and ball unit be?
Answers
Editor’s Note (7/29/16): An earlier version of this story contained several biographical inaccuracies and did not give Jim Papadopoulos a chance to respond to the comment about his ability to finish things. Michael Papadopoulos moved his family to the United States more than a decade before taking a job at Oregon, not in 1967. Jim Papadopoulos spent a whole academic year at Oregon before starting at MIT. He did not write to bike companies asking for work until the 1990s. His time at the US Geological Survey was part of an internship, not a full-time job. The e-mail list he moderated was also founded by him, and is called Hardcore Bicycle Science. He has actually published three first-author papers, but just one related to bicycle science. He was also not given a chance to respond to a comment about his ability to finish things.
Seven bikes lean against the wall of Jim Papadopoulos's basement in Boston, Massachusetts. Their paint is scratched, their tyres flat. The handmade frame that he got as a wedding present is coated in fine dust. “I got rid of most of my research bikes when I moved,” he says. The bicycles that he kept are those that mean something to him. “These are the ones I rode.”
Papadopoulos, who is 62, has spent much of his life fascinated by bikes, often to the exclusion of everything else. He competed in amateur races while a teenager and at university, but his obsession ran deeper. He could never ride a bike without pondering the mathematical mysteries that it contained. Chief among them: What unseen forces allow a rider to balance while pedalling? Why must one initially steer right in order to lean and turn left? And how does a bike stabilize itself when propelled without a rider?
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He studied these questions intensely as a young engineer at Cornell University in Ithaca, New York. But he failed to publish most of his ideas — and eventually drifted out of academia. By the late 1990s, he was working for a company that makes the machines that manufacture toilet paper. “In the end, if no one ever finds your work, then it was pointless,” he says.
But then someone did find his work. In 2003, his old friend and collaborator from Cornell, engineer Andy Ruina, called him up. A scientist from the Netherlands, Arend Schwab, had come to his lab to resurrect the team's research on bicycle stability
The centre of mass of the horse the rider and the ball would be inside the body of the horse.
Explanation:
- the centre of mass can be defined as the position in which the entire mass of the system is concentrated. as the mass of the horse is more than the total mass of the rider and the ball it would be close to the centre of mass of the horse.
- The centre of mass of the horse usually lies near the abdomen of the horse. As a result of this the the system will have a centre of mass near the centre of mass of the horse alone
To know more,
Why do we need to know the centre of mass of an objects? For ...
https://brainly.in/question/12764771