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 current-carrying coil is placed in an external uniform magnetic field. The coil is free to turn in the magnetic field. What is the net force acting on the coil? Obtain the orientation of the coil in stable equilibrium. Show that in this orientation the flux of the total field (field produced by the loop + external field) through the coil is maximum.
Three students, Neha, Rani, and Sam go to a market to purchase stationery items. Neha buys 4 pens, 3 notepads, and 2 erasers and pays ₹ 60. Rani buys 2 pens, 4 notepads, and 6 erasers for ₹ 90. Sam pays ₹ 70 for 6 pens, 2 notepads, and 3 erasers.
Based upon the above information, answer the following questions:
(i) Form the equations required to solve the problem of finding the price of each item, and express it in the matrix form \( A \mathbf{X} = B \).