HOOKE'S LAW Introduction In physics, Hooke's Law is one of the fundamental principles governing how objects deform under external forces . Named after the 17th-century British physicist Robert Hooke, this law provides a crucial understanding of the behavior of elastic materials, such as springs and rubber bands. Whether stretching a rubber band or compressing a spring, Hooke's Law helps explain what happens when forces act on these materials. What is Hooke's Law: Hooke's Law states that the force F needed to extend or compress a spring by some distance x is proportional to that distance. Mathematically, it is expressed as: F= -kx Here k represents the spring constant, which is the measure of the stiffness of the spring, and x is the displacement from the displacement position. The negative sign indicates that the force exerted by the spring is in the opposite direction of the displacement. Understanding the Spring Constant: The spring constant k is a critical co...
TRIGONOMETRIC RATIOS Definition: The ratio of any two sides of a right-angled triangle is known is Trigonometric Ratios. There are total six trigonometric ratios are there out of which three are fundamental ratios and remaining three are said to be derived ratios. These six trigonometric ratios are given as under, Fundamental Ratios: 1. sin θ 2. cos θ 3. tan θ Derived Ratios: 4. cosec θ 5. sec θ 6. cot θ Consider figure 1, we have following formulas of these trigonometric ratios, sin θ=Perpendicular/Hypotenuse cos θ= Base/ Hypotenuse tan θ= Perpendicular / Hypotenuse Now remaining three are the reciprocals of the above fundamental formulas, cosec θ= 1/sin θ or Hyp/perpendicular sec θ=1/cos θ or hyp/base cot θ=1/tan θ or base/perpendicular Short Trick to Remeber these formulas, Some People have Curly Brown Hairs Through proper brushed C...