To solve the problem, we need to define the concept of Equilibrium and explain how it can be enhanced under the influence of various factors, using examples from sports.
1. Understanding Equilibrium:
Equilibrium is a state in which all the forces acting on a body are balanced, and the body remains at rest or in uniform motion. In biomechanics and physical education, equilibrium is crucial for maintaining posture, executing movements efficiently, and preventing falls.
There are two main types of equilibrium:
- Static Equilibrium: When a body is at rest and remains in balance (e.g., a gymnast holding a handstand).
- Dynamic Equilibrium: When a body is in motion but remains in a balanced state (e.g., a football player dribbling the ball while maintaining control).
2. Factors Influencing and Increasing Equilibrium:
Equilibrium can be enhanced through several key factors:
3. Examples from Sports:
Final Answer:
Equilibrium is the state of balance in a body, which can be static or dynamic. It increases with factors such as wider base, lower center of gravity, muscle strength, alignment, and sensory feedback. Sports like gymnastics, football, and wrestling demonstrate how athletes apply these principles to maintain and enhance balance during performance.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).