Horizontal Range in Projectile Motion Projectile motion is the motion of an object thrown or projected into the air, subjected to only the acceleration of gravity. The object is called a projectile and its path is called as trajectory. What is Horizontal Range? Horizontal Range is the distance covered by the projectile during its time Read more about Horizontal Range in Projectile Motion[…]
Equation of a Hyperbola referred to Two Perpendicular Lines Consider the hyperbola . From figure Let P (x₁, y₁) be any point on the hyperbola. Then, PM = y and PN = x Therefore, . If the perpendicular distances P₁ and P₂ of a moving point P (x, y) from two mutually perpendicular coplanar straight Read more about Equation of a Hyperbola referred to Two Perpendicular Lines[…]
Andhra Pradesh State National Talent Search Examination (NTSE) Stage I 2019 – 2020 Notification Released The students who are studying X Class during the current academic year i.e., 2019-20 in any recognized school in Andhra Pradesh including Kendriya Vidyalayas, Navodaya Samitis and schools affiliated to C.B.S.E & I.C.S.E New Delhi are only eligible to appear Read more about Andhra Pradesh State National Talent Search Examination (NTSE) Stage I 2019 – 2020 Notification Released[…]
Friction Acting on Multiple Surfaces 1. If Force Applied on Lower Block: The maximum friction acting on m₂ is f₂ = µ₂m₂g. If the system moves with the common acceleration, then F – µ₁ (m₁ + m₂) g = (m₁ + m₂) a and f₂ = m₂a Maximum acceleration of m₂, µ₂m₂g = m₂ amax Read more about Friction Acting on Multiple Surfaces[…]
Circle – Director Circle and Its Equation Director Circle: The locus of the point of intersection of two perpendicular tangents to given circle is known as Director Circle. Equation of Director Circle: Method (1): The equation of any tangent to the circle x² + y² = a² is y = mx + a √ (1 Read more about Circle – Director Circle and Its Equation[…]
Angle of Repose (Or) Angle of Sliding The angle of repose or angle of sliding is defined as the minimum angle of inclination of a plane with the horizontal such that a body placed on the plane just begins to slide down. Its value depends on the material and nature of the surfaces in contact. Read more about Angle of Repose (Or) Angle of Sliding[…]
Equation of the Parabola when Vertex is (h, k) and Axis is Parallel to X – axis and Y – axis Equation of the Parabola when Vertex is (h, k) and Axis is Parallel to X – axis: The parabola y² = 4ax Can be written as (y – 0)² = 4a(x – 0) … Read more about Equation of the Parabola when Vertex is (h, k) and Axis is Parallel to X – axis and Y – axis[…]
Time of Flight Let a particle is projected with velocity u at angle θ with the horizontal. We can write the x and y components of the initial velocity as ux = u cosθ, uy = u sinθ. The acceleration of the particle in x and y direction is ax = 0 and ay = Read more about Time of Flight[…]
Pair of Straight Lines – Homogeneous Second Degree Equation An equation (whose RHS is zero) in which the sum of the power of x and y in every term is the same say n, is called a Homogeneous equation of nth degree in x and y. Thus, ax² + 2hxy + by² = 0 is Read more about Pair of Straight Lines – Homogeneous Second Degree Equation[…]
Different Cases in Acceleration – Time Graph Acceleration is the rate at which the velocity changes with respect to time. It is measured in m/ sec² in standard unit system. To obtain acceleration vs. time graph we plot acceleration on y-axis and time on x-axis. There are three possible cases that we arrive on: 1. Read more about Different Cases in Acceleration – Time Graph[…]