To solve the problem, we need to define flexibility and explain various methods to improve flexibility, specifically for a gymnast who requires a high range of motion in joints and muscles.
1. Definition of Flexibility:
Flexibility is the ability of a joint or group of joints to move through their complete range of motion without pain or restriction. It depends on the elasticity of muscles, tendons, and ligaments surrounding the joint.
For gymnasts, flexibility is crucial for performing movements like splits, backbends, leaps, and tumbling with ease, grace, and injury prevention.
2. Methods to Improve Flexibility for a Gymnast:
Final Answer:
Flexibility is the ability of a joint to move freely through its full range of motion. For gymnasts, flexibility can be improved through methods such as static and dynamic stretching, PNF techniques, yoga, and consistent warm-up and training routines—helping enhance performance and reduce injury risk.
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 \( A \mathbf{X} = B \).